Question 1

An investment of $4300.00 earns interest at 9.96% p.a. compounded monthly for four years. At that time the interest rate is changed to 9% compounded semi-annually. How much will the accumulated value be two and a half years after the change?

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Question 2

Find the compound interest earned by $500 invested at 3% compounded semi-annually for ten years.

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Question 3

Alternative Savings offers five-year term deposits at 10% compounded annually while your credit union offers such deposits at 9.6% compounded quarterly. If you have $1000 to invest, what is the maturity value of your deposit
a) at Alternative Savings?
b) at your credit union?

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Question 4

Six years after Ellen deposited $4500 in a savings account that earned interest at 4.68% compounded monthly, the rate of interest was changed to 6.4% compounded semi-annually. How much was in the account thirteen years after the deposit was made?

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Question 5

You borrowed $1700.00 at 12.36% p.a. compounded monthly, and repaid $800.00 after three years and $950.00 after five years. How much do you owe at the end of the nine years?

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Question 6

Two years after Sean deposited $5000 in a savings account that earned interest at 6% compounded monthly, the rate of interest was changed to 6.4% compounded semi-annually. How much was in the account fifteen years after the deposit was made?

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Question 7

Accumulated $1720.00 at 8.4% p.a. compounded monthly from March 1, 2011, to July 1, 2013, and thereafter at 8.88% p.a. compounded quarterly. What is the amount on April 1, 2015?

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Question 8

Fahira invested $5000.00 at 4.8% compounded quarterly on January 1, 2012. On July 1, 2013 the rate changed to 5.6% p.a. compounded semi-annually. Calculate the amount Fahira will have on January 1, 2005.

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Question 9

A variable rate demand loan showed an initial balance of $20 000.00, payments of $5000.00 after six months, $10000.00 after one year, and a final payment after two years. Interest was 6% compounded semi-annually for the first year and 12% compounded monthly for the remaining time. How much was the size of the final payment?

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Question 10

An investment of $5000.00 earns interest at 6% p.a. compounded monthly for two years. At that time the interest rate is changed to 8% compounded semi-annually. How much will the accumulated value be three and a half years after the change?

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Question 11

Allison started an RRSP on March 1, 2011, with a deposit of $2470.00. She added $1900.00 on December 1, 2012, and $1850.00 on September 1, 2013. What is the accumulated value of her account on December 1, 2015, if interest is 7.24% compounded quarterly?

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Question 12

An investment of $2500.00 accumulates interest at 9.25% compounded quarterly. After 18 months the rate changed to 9.75% compounded semi-annually. Calculate the accumulated value three years after the initial investment.

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Question 13

Find the compound interest earned by $1910 invested at 7.5% compounded semi-annually for seven years.

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Question 14

The Rob U Blind Bank advertises capital savings at 7.128% compounded semi-annually while Take Your Money Trust offers premium savings at 7.1% compounded monthly. Suppose you have $4400.00 to invest for two years.
a) Which deposit will earn more interest?
b) What is the difference in the amount of interest?

Accepted Answer

The answer of The Rob U Blind Bank advertises capital...

Question 15

Betty deposited $17 150.00 in an RRSP on March 1, 2010, at 6.4% compounded quarterly. Subsequently the interest rate was changed to 6.6% compounded monthly on September 1, 2012, and to 6.8% compounded semi-annually on June 1, 2014. What was the value of the RRSP deposit on December 1, 2016, if no further changes in interest were made?

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Question 16

You have a line of credit loan with the Bank of Hong Kong. The initial loan balance was $7000.00. Payments of $3000.00 and $2500.00 were made after four months and ten months respectively. At the end of one year, you borrowed an additional $4250.00. Seven months later, the line of credit loan was converted into a collateral mortgage loan. What was the amount of the mortgage if the line of credit interest was 8.52% compounded monthly?

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Question 17

Six years after Mr. Robertson deposited $7110.00 in a savings account that earned interest at 6.8% p.a., compounded semi-annually, the interest was changed to 7.2% p.a., compounded quarterly. How much was in the account ten years after the deposit was made?

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Question 18

What is the present value of $7800.00 payable in six years if the current interest rate is 7.6% p.a., compounded quarterly?

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Question 19

Sean started an RRSP on March 1, 2007, with a deposit of $2000.00. He added $1500.00 on March 1, 2008. What is the accumulated value of his account on December 1, 2008, if interest is 6% compounded quarterly?

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Question 20

The Get What You Pay For Bank advertises capital savings at 12% compounded monthly while Give Me Your Money Trust offers premium savings at 12.36% compounded yearly. Suppose you have $500.00 to invest for two years.
a) Which deposit will earn more interest?
b) What is the difference in the amount of interest?

Accepted Answer

The answer of The Get What You Pay For Bank...

Quiz 9: Compound Interest - Future Value and Present Value