Deck 2: Tools for Financial Planning - Applying Time Value Concepts

Question 1

The present value of an annuity can be obtained by discounting the individual cash flows of an annuity and totalling them.

Answer 1

True

Question 2

Time value of money is based on the belief that a dollar that will be received at some future date is worth more than a dollar today.

Answer 2

False

Question 3

The process of obtaining a present value is called discounting.

Answer 3

True

Question 4

To convert the table from ordinary annuity to annuity due is to multiple the annuity payment by (1+ i).

Question 5

The concept of time value of money will not be applied to many types of financial planning problems.

Question 6

PVA = PMT × PVIFA

Question 7

Compound interest is the process used to earn interest on interest.

Question 8

Money accumulates when it is invested and earns interest, because of the time value of money.

Question 9

Dividend is the rent charged for the use of money.

Question 10

Future value is regarded as the value of a future amount at the present time, calculated by the compounded interest.

Question 11

FVA = PMT × FVIFA

Question 12

The higher the interest rate, the lower the present value interest factor, other things being equal.

Question 13

The longer the time period, the lower the present value interest factor, other things being equal.

Question 14

Present value of the first year is determined by the future value divided by (1 + i).

Question 15

You can use either a financial calculator or a future value interest factor table to calculate future value.

Question 16

Ten percent compounded quarterly with 10 years' investment means 40 compounding periods.

Question 17

Ten percent compounded quarterly means 5 percent per compounding period.

Question 18

For a deposit of $1000 to earn 4 percent interest annually, the interest earned is $40 per year.

Question 19

The shorter the time period, the lower the future value interest factor, other things being equal.

Question 20

The higher the interest rate, the higher the future value interest factor, other things being equal.

Question 21

Annual percentage rate (APR)is also called effective interest rate.

Question 22

The best way to understand the time value of money is to use timelines to capture all information.

Question 23

The annual percentage rate (APR)is the nominal interest rate calculated by multiplying the periodic rate by the number of periods in a year.

Question 24

The two types of annuity are ordinary annuity and annuity due.

Question 25

Future value interest factor (FVIF)bases $1.00 to calculate the $1.00 over time with a given interest rate and the number of periods the $1.00 is compounded.

Question 26

The effective interest rate is the stated or quoted interest rate by the financial institutions.

Question 27

Annuity due assumes a series of cash flows happening at the end of a period.

Question 28

Mary deposits $4000 at the beginning of each year and the money will grow to $1 081 170 in 30 years with 12 percent compounded annually.

Question 29

The effective rate of interest and compounding frequency have an inverse relation.

Question 30

John wants to have a $10 000 down payment for his car in three years and he wants to know how much money must be saved today with a given interest rate to achieve this goal. John has to calculate the present value.

Question 31

Mary deposits $4000 at the beginning of each year and the money will grow to $1 081 170 in 30 years with 12 percent compounded quarterly.

Question 32

ABC Bank offers term deposits with 8 percent compounded quarterly, while XYZ Bank offers term deposits with 7.8 percent compounded annually. We know that ABC Bank offers a higher annualized rate of return.

Question 33

A nominal interest rate is also called an annual percentage rate (APR).

Question 34

Your rental payment per month within the contract is an annuity due.

Question 35

To calculate the present value, all you need is the amount of money in the future, the interest rate, and the number of years the money will be compounded.

Question 36

The nominal interest rate is the actual rate of interest you earn or pay.

Question 37

A series of future payments with equal cash flow means future value of annuity.

Question 38

An investment of $2500 grows to $108 945 at 10 percent per annum.

Question 39

Ordinary annuity is a series of equal amounts of cash flow happening at equal intervals at the end of a period.

Question 40

ABC Bank offers term deposits with 8 percent compounded semi-annually, while XYZ Bank offers term deposits with 7.9 percent compounded monthly. We are sure that ABC Bank offers a higher annualized rate of return.

Question 41

Discount refers to the process of earning interest on interest.

Question 42

The future value of $100 will increase with a particular interest rate, but the longer the period of time, the smaller the future value.

Question 43

John recently sold an antique for $29 311; the antique was purchased by John at nine years of age for
$17 800. John's annual rate of return on this antique is 7.2 percent.

Question 44

The higher the interest rate, the higher the present value, other things being equal.

Question 45

Mary wants to have $150 after four years by depositing $100 today and earning six percent interest compounded annually for the next six years. Can Mary attain her financial goal of having $150 lump sum six years later?

A)Yes, future value is more than $150.
B)Yes, present value is more than $150.
C)No, present value is less than $150.
D)No, future value is less than $150.

Question 46

If you borrow money, you will receive interest.

Question 47

An annuity refers to the payment of a series of equal cash flow payments at equal intervals of time.

Question 48

Financial institutions quote rates with different compounding periods. What is the term for the actual interest rate paid or earned?

A)Effective
B)Nominal
C)Real
D)Absolute

Question 49

An antique was originally purchased 50 years ago for $2 and today is worth $600. What is the approximate rate of return realized on the sale of this antique?

A)23 percent
B)12. percent
C)21. percent
D)13 percent

Question 50

If John makes annual year-end payments of $8337.83 on a 20-year loan with an annual interest rate of 7.5 percent., what is the original principal amount for John's loan?

A)$82 000
B)$83 325
C)$85 700
D)$85 000

Question 51

Interest = P × r × t × i

Question 52

The higher the interest rate, the higher the future value, other things being equal.

Question 53

Nick invests $50 000 today and the fund guarantees an annuity of $12 345 for six years. What is the approximate rate of return?

A)13.5 percent
B)11.6 percent
C)12.5 percent
D)Insufficient information to calculate

Question 54

Approximately what is the present value needed to receive $200 ten years from today, with an annual interest rate of ten percent?

A)$65
B)$77
C)$87
D)$97

Question 55

What is the term for the interest rate financial institutions quote?

A)Nominal
B)Effective
C)Annual
D)Absolute

Question 56

The present value interest factor is

A)always less than 1.0.
B)always more than 1.0.
C)always equal to 1.0.
D)always between 1.0 to 2.0.

Question 57

What is the future value of $200 received today and deposited at eight percent compounded annually for three years ?

A)$252
B)$250
C)$248
D)$249

Question 58

The present value of $100 will decrease with a particular discount rate, but the longer the period of time, the smaller the present value.

Question 59

What is the highest effective rate attainable with a 12 percent nominal rate?

A)12.85 percent
B)12.75 percent
C)12.65 percent
D)12.55 percent

Question 60

If you have an investment that will receive $100 at the end of year one, $200 at the end of year two, and $300 at the end of year three, what is the market value of this investment today if the discount rate is 13 percent annually?

A)$553
B)$453
C)$753
D)$653

Question 61

The amount to be invested today at a given interest rate over a specified period in order to equal a future amount is called

A)present value interest factor.
B)future value.
C)present value.
D)future value interest factor.

Question 62

If you want to have $10 000 for a down payment on a new car in three years, assuming an interest rate of 4.5 percent compounded annually, how much money do you need to deposit as a lump sum today?

A)$8412
B)$8712
C)$8112
D)$8763

Question 63

What is the present value of $1000 to be received ten years from today, assuming an interest rate of nine percent per annum?

A)$402.
B)$488.
C)$470.
D)$422.

Question 64

Julian wants to figure out how more it will cost monthly to pay off his student loans if he borrows an extra $4000 a year for four years. This will allow him to rent a nicer place and take a holiday each year. Assume that no interest accrues until he completes his education and begins paying off the loan. The interest rate for the loan amount will be seven percent per year compounded monthly and he will pay it off over five years. What would his additional monthly payment be?

A)$374
B)$267
C)$271
D)$317

Question 65

Betty wants to accumulate $1 million by the end of 20 years by making equal annual year-end deposits over the next 20 years. Assuming Betty can earn 10 percent over this period, how much must she deposit at the end of each year?

A)$18 560
B)$22 000
C)$14 760
D)$17 460

Question 66

The future value of $810 received today and deposited at 7.71 percent compounded annually for four years is closest to

A)$1620.
B)$1090.
C)$1051.
D)$21 435.

Question 67

If you want to save $40 000 for a down payment on a home in five years, assuming an interest rate of 4.5 percent compounded annually, how much money do you need to save each month?

A)$666
B)$697
C)$662
D)$597

Question 68

Hazel needs to plan how large a mortgage she can afford. How much would she need to pay monthly on a mortgage of $200 000 at six percent interest, calculated semi-annually and amortized over 30 years?

A)$555
B)$1111
C)$1199
D)$1190

Question 69

The future value interest factor is

A)always equal to 1.0.
B)always less than 1.0.
C)always greater than 1.0.
D)always uncertain.

Question 70

If the interest rate is zero, the future value interest factor equals

A)0)0.
B)-1.0.
C)1)0.
D)Undefined

Question 71

How long will it take Ivy's money to triple in value at 12 percent compounded quarterly?

A)9)2 years
B)9)7 years
C)9)3 years
D)It depends on the amount

Question 72

In a recessionary economy, interest rate on deposits can be 0 percent. However, Raymond has an investment of $25 000 now, and in three years it will mature and pay Raymond $32 000. What is the approximate rate of return on his investment?

A)8)3 percent
B)8)6 percent
C)8)9 percent
D)Insufficient information to calculate this question

Question 73

Raymond wants to save the college tuition fees he will need in ten years by starting with a deposit of $6500 today and depositing another $500 at the end of each year. How much will Raymond have in ten years if he gets a rate of return of four percent?

A)$15 625
B)$11 960
C)$15 865
D)$17 023

Question 74

What is the present value of an ordinary annuity of $1550 each year for 15 years, with an interest rate of 6.6 percent per annum?

A)$17 589
B)$16 500
C)$14 481
D)$10 500

Question 75

The future value of today's $200 to be received 10 years later with an interest rate of 10 percent per annum is

A)$424.
B)$484.
C)$542.
D)$519.

Question 76

Rebeccah is 65 and planing to retire next month. She can select a pension of $1745 monthly guaranteed for the rest of her life, but not indexed for inflation, or take a lump sum of $312 000. Assume she can invest the lump sum at five percent annually and draw the same income as the pension. How long does she need to live in order for the monthly pension to be the better choice?

A)89
B)90
C)92
D)93

Question 77

Danny invests $124 090 in a fund and expects to receive $10 000 per year for the next 30 years. What is the approximate rate of return?

A)8 percent
B)6 percent
C)9 percent
D)7 percent

Question 78

The future value of $676 received today and deposited at 5.85 percent compounded annually for five years is closest to

A)$693.
B)$962.
C)$907.
D)$898.

Question 79

Aleem needs to figure out how much interest he would save if he paid off his mortgage over 15 years instead of 30 years? His mortgage is $100 000 at six percent interest calculated semi-annually.

A)$44 111
B)$107 069
C)$58 297
D)$62 959.

Question 80

If you borrow $20 000 as a five-year loan from the bank and the bank requires you to make end-of-year payments of $4878.05, what is the annual interest rate on this loan?

A)8 percent
B)6 percent
C)7 percent
D)9 percent