Deck 16: Decision Analysis

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Question
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of mode obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 105.7 D) $ 94.1 <div style=padding-top: 35px> Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of mode obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 105.7 D) $ 94.1 <div style=padding-top: 35px>
What is the value of mode obtained from the simulation results? [Hint: Choose the approximate value.]

A) $ 119.0
B) $ 116.1
C) $ 105.7
D) $ 94.1
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Question
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the average payoff for the 3-year ARM?

A) $ 52,792
B) $ 45,212
C) $ 51,094
D) $ 55,278
Question
Use the information below to answer the following questions). The payoff table given below lists four mortgage options:  Outcome  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline && { \text { Outcome } } \\\hline \text { Probability } & 0.6 & { 0.3 } & 0.1 \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array} The probability of rates rising is 0.6, rates stable is 0.3, and rates falling is 0.1.

-What is the expected payoff for the 1-year ARM?

A) $ 53,082.00
B) $ 16,951.00
C) $ 56,938.00
D) $ 18,979.30
Question
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of standard deviation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.1 B) $ 116.1 C) $ 105.7 D) $ 94.4 <div style=padding-top: 35px> Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of standard deviation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.1 B) $ 116.1 C) $ 105.7 D) $ 94.4 <div style=padding-top: 35px>
What is the value of standard deviation obtained from the simulation results? [Hint: Choose the approximate value.]

A) $ 119.1
B) $ 116.1
C) $ 105.7
D) $ 94.4
Question
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the best payoff rate for the 1-year ARM?

A) $ 49,618
B) $ 43,650
C) $ 38,560
D) $ 66,645
Question
Answer the following questions by creating a decision tree.
Which of the following is considered the worst expected value decision?

A) 1-year ARM
B) 3-year ARM
C) 5-year ARM
D) 30-year fixed
Question
Use the information below to answer the following questions). The payoff table given below lists four mortgage options:  Outcome  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline && { \text { Outcome } } \\\hline \text { Probability } & 0.6 & { 0.3 } & 0.1 \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array} The probability of rates rising is 0.6, rates stable is 0.3, and rates falling is 0.1.

-What is the expected payoff of the 5-year ARM?

A) $ 17,872.90
B) $ 53,618.60
C) $ 48,805.20
D) $ 20,081.80
Question
Use the information given below to answer the following questions). Below is a payoff table that lists three mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  2-year ARM $66,645$43,650$38,560 5-year ARM $62,857$47,698$42,726 25-year fixed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 2-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 5-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 25-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the maximum opportunity loss incurred for the 2-year ARM?

A) $ 8,626
B) $ 13,716
C) $ 14,369
D) $ 10,581
Question
Use the information given below to answer the following questions). Below is a payoff table that lists three mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  2-year ARM $66,645$43,650$38,560 5-year ARM $62,857$47,698$42,726 25-year fixed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 2-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 5-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 25-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the maximum opportunity loss incurred for the 25-year fixed decision?

A) $ 8,626
B) $ 13,716
C) $ 14,369
D) $ 10,581
Question
Use the information given below to answer the following questions). Below is a payoff table that lists three mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  2-year ARM $66,645$43,650$38,560 5-year ARM $62,857$47,698$42,726 25-year fixed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 2-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 5-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 25-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the maximum opportunity loss incurred for the 5-year ARM?

A) $ 8,626
B) $ 13,716
C) $ 14,369
D) $ 10,581
Question
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-An) is also called a minimax regret strategy.

A) opportunity-loss strategy
B) aggressive strategy
C) conservative strategy
D) average payoff strategy
Question
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the mean absolute deviation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 105.7 D) $ 94.0 <div style=padding-top: 35px> Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the mean absolute deviation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 105.7 D) $ 94.0 <div style=padding-top: 35px>
What is the mean absolute deviation obtained from the simulation results? [Hint: Choose the approximate value.]

A) $ 119.0
B) $ 116.1
C) $ 105.7
D) $ 94.0
Question
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the average payoff for the 5-year ARM?

A) $ 49,514
B) $ 52,015
C) $ 53,395
D) $ 51,641
Question
Answer the following questions by creating a decision tree.
Which of the following is considered the best expected value decision?

A) 1-year ARM
B) 3-year ARM
C) 5-year ARM
D) 30-year fixed
Question
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the coefficiIIt of variation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) 1.587 B) 1.122 C) 2.015 D) 1.890 <div style=padding-top: 35px> Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the coefficiIIt of variation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) 1.587 B) 1.122 C) 2.015 D) 1.890 <div style=padding-top: 35px>
What is the coefficiIIt of variation obtained from the simulation results? [Hint: Choose the approximate value.]

A) 1.587
B) 1.122
C) 2.015
D) 1.890
Question
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-Which of the following decisions has the best average payoff?

A) 1-year ARM
B) 3-year ARM
C) 5-year ARM
D) 30-year fixed
Question
Use the information below to answer the following questions). The payoff table given below lists four mortgage options:  Outcome  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline && { \text { Outcome } } \\\hline \text { Probability } & 0.6 & { 0.3 } & 0.1 \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array} The probability of rates rising is 0.6, rates stable is 0.3, and rates falling is 0.1.

-Which of the following decisions has the largest expected payoff?

A) 1-year ARM
B) 3-year ARM
C) 5-year ARM
D) 30-year fixed
Question
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the worst payoff rate for the 5-year ARM?

A) $ 50,894
B) $ 48,134
C) $ 51,641
D) $ 55,895
Question
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of mean obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 106.2 D) $ 94.4 <div style=padding-top: 35px> Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of mean obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 106.2 D) $ 94.4 <div style=padding-top: 35px>
What is the value of mean obtained from the simulation results? [Hint: Choose the approximate value.]

A) $ 119.0
B) $ 116.1
C) $ 106.2
D) $ 94.4
Question
An) is a matrix whose rows correspond to decisions and whose columns correspond to events.

A) decision tree model
B) payoff table
C) utility function table
D) scoring model
Question
If the payoff is $2200 and R is equal to $500, what is the utility function?

A) 0.9877
B) 0.6819
C) 0.7645
D) 0.4502
Question
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the probability that the drug will not reach the market? [Hint: Choose the approximate value.]</strong> A) 0.95 B) 0.89 C) 0.77 D) 0.82 <div style=padding-top: 35px> Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the probability that the drug will not reach the market? [Hint: Choose the approximate value.]</strong> A) 0.95 B) 0.89 C) 0.77 D) 0.82 <div style=padding-top: 35px>
What is the probability that the drug will not reach the market? [Hint: Choose the approximate value.]

A) 0.95
B) 0.89
C) 0.77
D) 0.82
Question
Use the information below to answer the following questions). Below is a decision tree for the airline revenue management. <strong>Use the information below to answer the following questions). Below is a decision tree for the airline revenue management.   Create a one-way table and answer the following questions. The expected value of perfect information EVPI) is equal to the .</strong> A) Expected Monetary Value EMV) with perfect information minus the EMV without any information B) EMV with perfect information divided by the EMV without any information C) sum of the EMV with information and the EMV without any information D) EMV without any information minus the EMV with perfect information <div style=padding-top: 35px> Create a one-way table and answer the following questions.
The expected value of perfect information EVPI) is equal to the .

A) Expected Monetary Value EMV) with perfect information minus the EMV without any information
B) EMV with perfect information divided by the EMV without any information
C) sum of the EMV with information and the EMV without any information
D) EMV without any information minus the EMV with perfect information
Question
Use the below information to answer the following questions). Below is a payoff table with three mortgage options:  Outcame  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline & &{ \text { Outcame } } \\\hline \text { Probability } & { 0.6 } & { 0.3 } & { 0.1 } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the expected opportunity loss for the 3-year ARM?

A) $ 7,979.60
B) $ 3,959.40
C) $ 6,853.50
D) $ 8,621.40
Question
A payoff table is a matrix whose rows correspond to events and whose columns correspond to decisions.
Question
Use the information below to answer the following questions). Below is a decision tree for the airline revenue management. <strong>Use the information below to answer the following questions). Below is a decision tree for the airline revenue management.   Create a one-way table and answer the following questions. What is the expected value of the ticket when a discount is offered on the full fare? [Hint: Choose the approximate value.]</strong> A) $ 442.50 B) $ 472.00 C) $ 410.00 D) $ 501.50 <div style=padding-top: 35px> Create a one-way table and answer the following questions.
What is the expected value of the ticket when a discount is offered on the full fare? [Hint: Choose the approximate value.]

A) $ 442.50
B) $ 472.00
C) $ 410.00
D) $ 501.50
Question
Which of the following formulas is used to determine the exponential utility function?

A) Ux) = 1 + e-x/R
B) Ux) = 1× ex/R
C) Ux) = 1/ exR
D) Ux) = 1 - e-x/R
Question
Use the information below to answer the following questions)
Misty Inc. launches a new range of perfumes for men and women. The probability of high consumer demand for the product is 0.6 and low consumer demand is 0.4. The probability of a favorable survey response given high consumer demand is 0.9 and the probability of a favorable survey response given low consumer demand is 0.2.
Greg is indifferent between receiving $2,000, and taking a chance at $2,500 with probability 0.7 and losing $1200 with probability 0.5. What is the expected value of this gamble?

A) $ 1,150
B) $ 1,800
C) $ 1,460
D) $ 2,045
Question
Use the information below to answer the following questions)
Misty Inc. launches a new range of perfumes for men and women. The probability of high consumer demand for the product is 0.6 and low consumer demand is 0.4. The probability of a favorable survey response given high consumer demand is 0.9 and the probability of a favorable survey response given low consumer demand is 0.2.
What is the likelihood for high demand knowing that the market report is favorable?

A) 84%
B) 90%
C) 87%
D) 80%
Question
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Which of the following is the average utility for the bond fund decision?

A) 1.18
B) 0.38
C) 0.54
D) 0.43
Question
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Based on the average utility, which of the following is considered the worst decision?

A) Bank CD
B) Bond fund
C) Index fund
D) Growth fund
Question
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Which of the following is the average utility for the index fund decision?

A) 1.05
B) 0.70
C) 0.60
D) 0.45
Question
Use the information below to answer the following questions)
Misty Inc. launches a new range of perfumes for men and women. The probability of high consumer demand for the product is 0.6 and low consumer demand is 0.4. The probability of a favorable survey response given high consumer demand is 0.9 and the probability of a favorable survey response given low consumer demand is 0.2.
A children's welfare fundrai'er involves selling one thousand $70 tickets to win a $20,000'grand prize. If the probability of winning is only 0.005, what is the expected payoff?

A) -$40
B) -$50
C) $30
D) $60
Question
Use the below information to answer the following questions). Below is a payoff table with three mortgage options:  Outcame  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline & &{ \text { Outcame } } \\\hline \text { Probability } & { 0.6 } & { 0.3 } & { 0.1 } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-The expected value of sample information EVSI) is equal to the .

A) Expected Monetary Value EMV) without sample information divided by the EMV with sample information
B) EMV without sample information minus the EMV with sample information
C) sum of the EMV with sample information and the EMV without sample information
D) EMV with sample information minus the EMV without sample information
Question
Use the below information to answer the following questions). Below is a payoff table with three mortgage options:  Outcame  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline & &{ \text { Outcame } } \\\hline \text { Probability } & { 0.6 } & { 0.3 } & { 0.1 } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the expected opportunity loss for the 1-year ARM?

A) $ 7,979.60
B) $ 3,959.40
C) $ 6,853.50
D) $ 8,621.40
Question
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Based on the average utility, which of the following is considered the best decision?

A) Bank CD
B) Bond fund
C) Index fund
D) Growth fund
Question
Use the below information to answer the following questions). Below is a payoff table with three mortgage options:  Outcame  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline & &{ \text { Outcame } } \\\hline \text { Probability } & { 0.6 } & { 0.3 } & { 0.1 } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the expected opportunity loss for the 30-year fixed decision?

A) $ 7,979.60
B) $ 3,959.40
C) $ 6,853.50
D) $ 8,621.40
Question
Use the information below to answer the following questions)
Misty Inc. launches a new range of perfumes for men and women. The probability of high consumer demand for the product is 0.6 and low consumer demand is 0.4. The probability of a favorable survey response given high consumer demand is 0.9 and the probability of a favorable survey response given low consumer demand is 0.2.
If the marketing report is u'favorable, what is the probability of low demand?

A) 84%
B) 90%
C) 87%
D) 80%
Question
Use the information below to answer the following questions). Below is a decision tree for the airline revenue management. <strong>Use the information below to answer the following questions). Below is a decision tree for the airline revenue management.   Create a one-way table and answer the following questions. If the probability of selling the full-fare ticket is 0.80, what is the expected value of the ticket?</strong> A) $ 442.50 B) $ 472.00 C) $ 501.50 D) $ 531.00 <div style=padding-top: 35px> Create a one-way table and answer the following questions.
If the probability of selling the full-fare ticket is 0.80, what is the expected value of the ticket?

A) $ 442.50
B) $ 472.00
C) $ 501.50
D) $ 531.00
Question
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Identify the average utility for the growth fund decision.

A) 1.05
B) 0.70
C) 0.20
D) 0.60
Question
An outcome over which the decision maker has complete control is called an event node.
Question
What are the three elements required to characterize decisions with uncertain consequences?
Question
Describe the steps involved in the construction of a decision tree.
Question
In a minimin strategy, the decision which minimizes the minimum payoff is chosen.
Question
What are the differences between an aggressive strategy and a conservative strategy?
Question
What is the expected value of sample information?
Question
The average payoff strategy weights the likelihood that the actual outcomes can occur.
Question
What is the expected value of perfect information?
Question
For the average payoff strategy, the decision with the best average payoff is chosen.
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Deck 16: Decision Analysis
1
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of mode obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 105.7 D) $ 94.1 Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of mode obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 105.7 D) $ 94.1
What is the value of mode obtained from the simulation results? [Hint: Choose the approximate value.]

A) $ 119.0
B) $ 116.1
C) $ 105.7
D) $ 94.1
$ 94.1
2
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the average payoff for the 3-year ARM?

A) $ 52,792
B) $ 45,212
C) $ 51,094
D) $ 55,278
$ 51,094
3
Use the information below to answer the following questions). The payoff table given below lists four mortgage options:  Outcome  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline && { \text { Outcome } } \\\hline \text { Probability } & 0.6 & { 0.3 } & 0.1 \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array} The probability of rates rising is 0.6, rates stable is 0.3, and rates falling is 0.1.

-What is the expected payoff for the 1-year ARM?

A) $ 53,082.00
B) $ 16,951.00
C) $ 56,938.00
D) $ 18,979.30
$ 56,938.00
4
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of standard deviation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.1 B) $ 116.1 C) $ 105.7 D) $ 94.4 Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of standard deviation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.1 B) $ 116.1 C) $ 105.7 D) $ 94.4
What is the value of standard deviation obtained from the simulation results? [Hint: Choose the approximate value.]

A) $ 119.1
B) $ 116.1
C) $ 105.7
D) $ 94.4
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Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the best payoff rate for the 1-year ARM?

A) $ 49,618
B) $ 43,650
C) $ 38,560
D) $ 66,645
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6
Answer the following questions by creating a decision tree.
Which of the following is considered the worst expected value decision?

A) 1-year ARM
B) 3-year ARM
C) 5-year ARM
D) 30-year fixed
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7
Use the information below to answer the following questions). The payoff table given below lists four mortgage options:  Outcome  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline && { \text { Outcome } } \\\hline \text { Probability } & 0.6 & { 0.3 } & 0.1 \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array} The probability of rates rising is 0.6, rates stable is 0.3, and rates falling is 0.1.

-What is the expected payoff of the 5-year ARM?

A) $ 17,872.90
B) $ 53,618.60
C) $ 48,805.20
D) $ 20,081.80
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8
Use the information given below to answer the following questions). Below is a payoff table that lists three mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  2-year ARM $66,645$43,650$38,560 5-year ARM $62,857$47,698$42,726 25-year fixed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 2-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 5-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 25-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the maximum opportunity loss incurred for the 2-year ARM?

A) $ 8,626
B) $ 13,716
C) $ 14,369
D) $ 10,581
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9
Use the information given below to answer the following questions). Below is a payoff table that lists three mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  2-year ARM $66,645$43,650$38,560 5-year ARM $62,857$47,698$42,726 25-year fixed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 2-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 5-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 25-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the maximum opportunity loss incurred for the 25-year fixed decision?

A) $ 8,626
B) $ 13,716
C) $ 14,369
D) $ 10,581
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10
Use the information given below to answer the following questions). Below is a payoff table that lists three mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  2-year ARM $66,645$43,650$38,560 5-year ARM $62,857$47,698$42,726 25-year fixed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 2-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 5-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 25-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the maximum opportunity loss incurred for the 5-year ARM?

A) $ 8,626
B) $ 13,716
C) $ 14,369
D) $ 10,581
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11
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-An) is also called a minimax regret strategy.

A) opportunity-loss strategy
B) aggressive strategy
C) conservative strategy
D) average payoff strategy
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12
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the mean absolute deviation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 105.7 D) $ 94.0 Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the mean absolute deviation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 105.7 D) $ 94.0
What is the mean absolute deviation obtained from the simulation results? [Hint: Choose the approximate value.]

A) $ 119.0
B) $ 116.1
C) $ 105.7
D) $ 94.0
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13
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the average payoff for the 5-year ARM?

A) $ 49,514
B) $ 52,015
C) $ 53,395
D) $ 51,641
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14
Answer the following questions by creating a decision tree.
Which of the following is considered the best expected value decision?

A) 1-year ARM
B) 3-year ARM
C) 5-year ARM
D) 30-year fixed
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15
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the coefficiIIt of variation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) 1.587 B) 1.122 C) 2.015 D) 1.890 Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the coefficiIIt of variation obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) 1.587 B) 1.122 C) 2.015 D) 1.890
What is the coefficiIIt of variation obtained from the simulation results? [Hint: Choose the approximate value.]

A) 1.587
B) 1.122
C) 2.015
D) 1.890
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16
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-Which of the following decisions has the best average payoff?

A) 1-year ARM
B) 3-year ARM
C) 5-year ARM
D) 30-year fixed
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17
Use the information below to answer the following questions). The payoff table given below lists four mortgage options:  Outcome  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline && { \text { Outcome } } \\\hline \text { Probability } & 0.6 & { 0.3 } & 0.1 \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array} The probability of rates rising is 0.6, rates stable is 0.3, and rates falling is 0.1.

-Which of the following decisions has the largest expected payoff?

A) 1-year ARM
B) 3-year ARM
C) 5-year ARM
D) 30-year fixed
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18
Use the information below to answer the following questions). Below is a payoff table that lists four mortgage options:  Outcome  Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 5-year ARM $55,895$50,894$48,134 30-year fiXed $52,276$52,276$52,276\begin{array} { | l | l | l | l | } \hline & { \text { Outcome } } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 5-year ARM } & \$ 55,895 & \$ 50,894 & \$ 48,134 \\\hline \text { 30-year fiXed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the worst payoff rate for the 5-year ARM?

A) $ 50,894
B) $ 48,134
C) $ 51,641
D) $ 55,895
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19
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of mean obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 106.2 D) $ 94.4 Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the value of mean obtained from the simulation results? [Hint: Choose the approximate value.]</strong> A) $ 119.0 B) $ 116.1 C) $ 106.2 D) $ 94.4
What is the value of mean obtained from the simulation results? [Hint: Choose the approximate value.]

A) $ 119.0
B) $ 116.1
C) $ 106.2
D) $ 94.4
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20
An) is a matrix whose rows correspond to decisions and whose columns correspond to events.

A) decision tree model
B) payoff table
C) utility function table
D) scoring model
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21
If the payoff is $2200 and R is equal to $500, what is the utility function?

A) 0.9877
B) 0.6819
C) 0.7645
D) 0.4502
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22
Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the probability that the drug will not reach the market? [Hint: Choose the approximate value.]</strong> A) 0.95 B) 0.89 C) 0.77 D) 0.82 Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of
$200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of -
$550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1. <strong>Use the information below to answer the following questions). Below is a decision tree illustrating the R&D process for a new drug.   Let us assume that if market is large, payoff is lognormally distributed with a mean of $4,900 million and a standard deviation of $1,000 million; if market is medium, payoff is lognormally distributed with a mean of $2,500 million and a standard deviation of $500 million; and if market is small, payoff is normally distributed with a mean of $1,800 million and standard deviation of $200 million. Let us also assume that the cost of clinical trials is uncertain and estimates are modeled with a triangular distribution with a minimum of -$700 million, a most likely value of - $550 million, and a maximum of -$500 million. Use 10,000 trials and a random seed of 1.   What is the probability that the drug will not reach the market? [Hint: Choose the approximate value.]</strong> A) 0.95 B) 0.89 C) 0.77 D) 0.82
What is the probability that the drug will not reach the market? [Hint: Choose the approximate value.]

A) 0.95
B) 0.89
C) 0.77
D) 0.82
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23
Use the information below to answer the following questions). Below is a decision tree for the airline revenue management. <strong>Use the information below to answer the following questions). Below is a decision tree for the airline revenue management.   Create a one-way table and answer the following questions. The expected value of perfect information EVPI) is equal to the .</strong> A) Expected Monetary Value EMV) with perfect information minus the EMV without any information B) EMV with perfect information divided by the EMV without any information C) sum of the EMV with information and the EMV without any information D) EMV without any information minus the EMV with perfect information Create a one-way table and answer the following questions.
The expected value of perfect information EVPI) is equal to the .

A) Expected Monetary Value EMV) with perfect information minus the EMV without any information
B) EMV with perfect information divided by the EMV without any information
C) sum of the EMV with information and the EMV without any information
D) EMV without any information minus the EMV with perfect information
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24
Use the below information to answer the following questions). Below is a payoff table with three mortgage options:  Outcame  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline & &{ \text { Outcame } } \\\hline \text { Probability } & { 0.6 } & { 0.3 } & { 0.1 } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the expected opportunity loss for the 3-year ARM?

A) $ 7,979.60
B) $ 3,959.40
C) $ 6,853.50
D) $ 8,621.40
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25
A payoff table is a matrix whose rows correspond to events and whose columns correspond to decisions.
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26
Use the information below to answer the following questions). Below is a decision tree for the airline revenue management. <strong>Use the information below to answer the following questions). Below is a decision tree for the airline revenue management.   Create a one-way table and answer the following questions. What is the expected value of the ticket when a discount is offered on the full fare? [Hint: Choose the approximate value.]</strong> A) $ 442.50 B) $ 472.00 C) $ 410.00 D) $ 501.50 Create a one-way table and answer the following questions.
What is the expected value of the ticket when a discount is offered on the full fare? [Hint: Choose the approximate value.]

A) $ 442.50
B) $ 472.00
C) $ 410.00
D) $ 501.50
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27
Which of the following formulas is used to determine the exponential utility function?

A) Ux) = 1 + e-x/R
B) Ux) = 1× ex/R
C) Ux) = 1/ exR
D) Ux) = 1 - e-x/R
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28
Use the information below to answer the following questions)
Misty Inc. launches a new range of perfumes for men and women. The probability of high consumer demand for the product is 0.6 and low consumer demand is 0.4. The probability of a favorable survey response given high consumer demand is 0.9 and the probability of a favorable survey response given low consumer demand is 0.2.
Greg is indifferent between receiving $2,000, and taking a chance at $2,500 with probability 0.7 and losing $1200 with probability 0.5. What is the expected value of this gamble?

A) $ 1,150
B) $ 1,800
C) $ 1,460
D) $ 2,045
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29
Use the information below to answer the following questions)
Misty Inc. launches a new range of perfumes for men and women. The probability of high consumer demand for the product is 0.6 and low consumer demand is 0.4. The probability of a favorable survey response given high consumer demand is 0.9 and the probability of a favorable survey response given low consumer demand is 0.2.
What is the likelihood for high demand knowing that the market report is favorable?

A) 84%
B) 90%
C) 87%
D) 80%
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30
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Which of the following is the average utility for the bond fund decision?

A) 1.18
B) 0.38
C) 0.54
D) 0.43
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31
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Based on the average utility, which of the following is considered the worst decision?

A) Bank CD
B) Bond fund
C) Index fund
D) Growth fund
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32
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Which of the following is the average utility for the index fund decision?

A) 1.05
B) 0.70
C) 0.60
D) 0.45
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33
Use the information below to answer the following questions)
Misty Inc. launches a new range of perfumes for men and women. The probability of high consumer demand for the product is 0.6 and low consumer demand is 0.4. The probability of a favorable survey response given high consumer demand is 0.9 and the probability of a favorable survey response given low consumer demand is 0.2.
A children's welfare fundrai'er involves selling one thousand $70 tickets to win a $20,000'grand prize. If the probability of winning is only 0.005, what is the expected payoff?

A) -$40
B) -$50
C) $30
D) $60
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34
Use the below information to answer the following questions). Below is a payoff table with three mortgage options:  Outcame  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline & &{ \text { Outcame } } \\\hline \text { Probability } & { 0.6 } & { 0.3 } & { 0.1 } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-The expected value of sample information EVSI) is equal to the .

A) Expected Monetary Value EMV) without sample information divided by the EMV with sample information
B) EMV without sample information minus the EMV with sample information
C) sum of the EMV with sample information and the EMV without sample information
D) EMV with sample information minus the EMV without sample information
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35
Use the below information to answer the following questions). Below is a payoff table with three mortgage options:  Outcame  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline & &{ \text { Outcame } } \\\hline \text { Probability } & { 0.6 } & { 0.3 } & { 0.1 } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the expected opportunity loss for the 1-year ARM?

A) $ 7,979.60
B) $ 3,959.40
C) $ 6,853.50
D) $ 8,621.40
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36
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Based on the average utility, which of the following is considered the best decision?

A) Bank CD
B) Bond fund
C) Index fund
D) Growth fund
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37
Use the below information to answer the following questions). Below is a payoff table with three mortgage options:  Outcame  Probability 0.60.30.1 Decision  Rates Rise  Rates Stable  Rates Fall  1-year ARM $66,645$43,650$38,560 3-year ARM $62,857$47,698$42,726 30-year fixed $52,276$52,276$52,276\begin{array} { | l | l | c | c | } \hline & &{ \text { Outcame } } \\\hline \text { Probability } & { 0.6 } & { 0.3 } & { 0.1 } \\\hline \text { Decision } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { 1-year ARM } & \$ 66,645 & \$ 43,650 & \$ 38,560 \\\hline \text { 3-year ARM } & \$ 62,857 & \$ 47,698 & \$ 42,726 \\\hline \text { 30-year fixed } & \$ 52,276 & \$ 52,276 & \$ 52,276 \\\hline\end{array}

-What is the expected opportunity loss for the 30-year fixed decision?

A) $ 7,979.60
B) $ 3,959.40
C) $ 6,853.50
D) $ 8,621.40
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38
Use the information below to answer the following questions)
Misty Inc. launches a new range of perfumes for men and women. The probability of high consumer demand for the product is 0.6 and low consumer demand is 0.4. The probability of a favorable survey response given high consumer demand is 0.9 and the probability of a favorable survey response given low consumer demand is 0.2.
If the marketing report is u'favorable, what is the probability of low demand?

A) 84%
B) 90%
C) 87%
D) 80%
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39
Use the information below to answer the following questions). Below is a decision tree for the airline revenue management. <strong>Use the information below to answer the following questions). Below is a decision tree for the airline revenue management.   Create a one-way table and answer the following questions. If the probability of selling the full-fare ticket is 0.80, what is the expected value of the ticket?</strong> A) $ 442.50 B) $ 472.00 C) $ 501.50 D) $ 531.00 Create a one-way table and answer the following questions.
If the probability of selling the full-fare ticket is 0.80, what is the expected value of the ticket?

A) $ 442.50
B) $ 472.00
C) $ 501.50
D) $ 531.00
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40
Use the information below to answer the following questions). Below are four options for an investment decision.  Decision/event  Rates Rise  Rates Stable  Rates Fall  Bank CD 0.800.800.80 Bond fund 0.750.861.50 Index fund 0.000.901.20 Growth fund 0.300.701.40\begin{array} { | l | l | l | l | } \hline \text { Decision/event } & \text { Rates Rise } & \text { Rates Stable } & \text { Rates Fall } \\\hline \text { Bank CD } & \mathbf { 0 . 8 0 } & 0.80 & 0.80 \\\hline \text { Bond fund } & - 0.75 & 0.86 & 1.50 \\\hline \text { Index fund } & 0.00 & 0.90 & 1.20 \\\hline \text { Growth fund } & - 0.30 & 0.70 & 1.40 \\\hline\end{array}

-Identify the average utility for the growth fund decision.

A) 1.05
B) 0.70
C) 0.20
D) 0.60
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41
An outcome over which the decision maker has complete control is called an event node.
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42
What are the three elements required to characterize decisions with uncertain consequences?
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43
Describe the steps involved in the construction of a decision tree.
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44
In a minimin strategy, the decision which minimizes the minimum payoff is chosen.
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45
What are the differences between an aggressive strategy and a conservative strategy?
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46
What is the expected value of sample information?
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47
The average payoff strategy weights the likelihood that the actual outcomes can occur.
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48
What is the expected value of perfect information?
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49
For the average payoff strategy, the decision with the best average payoff is chosen.
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