Question Tag: Compound Interest

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BMF – Nov 2020 – L1 – SA – Q9 – Basics of Business Finance and Financial Markets

Calculate the present value needed to reach a lump sum in 5 years with compound interest.

Lokoson must pay a lump sum of N960,000 in 5 years. What amount deposited today at 5.8% compounded annually will make up the sum of money?
A. N724,200.36
B. N724,300.37
C. N725,200.36
D. N725,300.37
E. N725,300.37

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BMF – Nov 2020 – L1 – SA – Q8 – Basics of Business Finance and Financial Markets

Calculate the compound interest earned on a deposit over 11 years at 6.50%, compounded quarterly.

What is the amount of interest earned by a deposit of N414,000 for 11 years at 6.50% compounded quarterly?
A. N427,455
B. N427,467
C. N437,455
D. N437,467
E. N447,467

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QTB – Nov 2014 – L1 – SB – Q6 – Mathematics of Business Finance

Calculate the value of an investment with compound interest, the payoff amount for a loan with simple interest, and the additional interest for a loan with monthly payments and reduced interest rates.

a. If N250,000 is invested in an account that earns 4% per year compound interest, what is the:
i. value of the investment after 5 years? (3 Marks)
ii. total interest earned? (2 Marks)

b. When it was apparent that your parents could not afford to finance your university education, you sought and obtained a 4-year loan of N250,000.00 from Education Bank Limited. The bank imposed a simple interest rate of 7½%.
i. How much do you need to pay off the bank now

(4 years after) that you are through with your study?

(7 Marks)
ii. If you decide to be paying N25,000 every month from now and the bank agreed to reduce the interest rate to 1% per month on the unpaid balance at the beginning of the month, how much additional total interest will be paid? (8 Marks)

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QTB – MAY 2017 – L1 – SA – Q1 – Mathematics.

A multiple-choice question calculating future value based on compound interest over 15 years at 8% annually.

How much will N22,500 amount to at 8% interest over 15 years compounded annually?

A. N71,337.81
B. N71,373.81
C. N71,378.81
D. N71,387.81
E. N71,733.81

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QTB – May 2016 – L1 – SB – Q2a – Mathematics

This question requires calculating the compound interest rate using logarithms.

A barber invests N100,000 for 5 years. At the end of the investment period, he receives a cash transfer of N120,600 as final settlement of the investment.

Required:
Use logarithm (to base 10) to determine the compound interest rate on the investment.

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BMF – May 2018 – L1 – SB – Q2b – Basics of Business Finance and Financial Markets

compounded interest for a 10-year savings plan.

Nike Kenny is a student of a state-owned polytechnic in Yobe. She planned to save N5,000 each year out of the emolument she collects from the work-study club of a school. How much will she have at the end of the tenth year if interest on her savings is 6% compounded semi-annually?

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BMF – Nov 2019 – L1 – SA – Q14 – Basics of Business Finance and Financial Markets

Calculating the future value of semi-annual savings with compound interest

Larry wishes to save money towards his new-born daughter’s wedding. He intends to save ₦50,000 on the first day of every 6 months for 18 years, starting immediately. The account pays interest of 6% compounded semi-annually. What will be the balance on the account at the end of 18 years?
A. ₦3,258,748.33
B. ₦4,368,748.34
C. ₦5,278,748.33
D. ₦6,588,748.33
E. ₦6,788,748.33

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BMF – Nov 2019 – L1 – SA – Q13 – Basics of Business Finance and Financial Markets

Calculating the present value of a future amount with compounded interest

What is the present value of N10 million in 8 years, if money could be deposited at 6.5% compounded quarterly?
A. N15.73 million
B. N16.75 million
C. N17.73 million
D. N18.75 million
E. N19.46 million

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BMF – Nov 2019 – L1 – SA – Q12 – Basics of Business Finance and Financial Markets

Calculating the annual compound interest rate from accumulated savings

Suppose Bonde invested N240,000 in a savings account that paid interest twice in a year. After 8 years, the money had accumulated to N380,980. What was the annual compound interest rate?
A. 3.64%
B. 4.75%
C. 5.86%
D. 6.65%
E. 6.76%

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BMF – Nov 2019 – L1 – SA – Q11 -Basics of Business Finance and Financial Markets

Calculating the compound amount for a deposit using compound interest

Suppose N1 million is deposited in a money deposit bank that is paying 7.5% interest per annum compounded annually. What will be the compound amount at the end of the third year?
A. N1,242,300
B. N1,243,400
C. N1,344,500
D. N1,345,600
E. N1,446,700

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BMF – May 2017 – L1 – SA – Q14 – Basics of Business Finance and Financial Markets

Multiple-choice question on calculating the future value of an investment using compound interest.

You recently won ₦50 million from the popular NTA show “Who wants to be a billionaire?” A financial expert counselled that you invest the money in a bank at 6% interest rate per annum. How much will you have at the end of ten years?

A. N88,550,000
B. N89,550,000
C. N90,550,000
D. N91,550,000
E. N92,550,000

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BMF – Mar July 2020 – L1 – SA – Q11 – Basics of Business Finance and Financial Markets

Calculating the future value of annual savings of ₦300,000 invested at 6.5% over 9 years.

A savings scheme involves investing ₦300,000 per annum on the last day of the year. If the interest rate is 6.5%, what is the sum to be received at the end of 9 years?
A. ₦3,419,591.31
B. ₦3,519,692.31
C. ₦3,619,793.31
D. ₦3,659,894.31
E. ₦3,719,894.31

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BMF – Mar July 2020 – L1 – SA – Q10 – Basics of Business Finance and Financial Markets

Calculating the fixed annual savings required to replace a machine in 7 years.

Fattie Limited wishes to make some savings to replace an existing machine with a better model at a cost of ₦10,000,000 in 7 years’ time. Assuming that the current rate of interest is 9% per annum, what fixed annual amount must the company set aside at the end of each year to achieve its target?
A. ₦1,053,926.50
B. ₦1,064,956.50
C. ₦1,075,926.52
D. ₦1,086,956.52
E. ₦1,093,926.50

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BMF – Mar July 2020 – L1 – SA – Q9 – Basics of Business Finance and Financial Markets

Calculating the effective interest rate for an account with quarterly compounding.

What will be the effective rate for an account that pays 8% compounded quarterly?
A. 5.21%
B. 6.24%
C. 7.21%
D. 8.24%
E. 9.21%

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BMF – Mar July 2020 – L1 – SA – Q8 – Basics of Business Finance and Financial Markets

Calculating interest earned on a deposit with compound interest.

What is the amount of interest earned on a deposit of N245,000 for 8.5 years at 5.50% compounded semi-annually?
A. N123,570
B. N133,680
C. N143,570
D. N153,680
E. N155,680

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QT – May 2016 – L1 – Q7 – Mathematics of Business Finance

Construct an amortization schedule for a loan of GH¢3,000 over 12 years with an annual interest rate of 2%.

A loan of GH¢3,000 at an effective annual interest rate of i = 12% is amortized by means of 12 annual payments, beginning a year after the loan is taken.

Hint: The schedule should have the following columns: Payment, Interest Due, Principal Repaid, and Outstanding Balance.

Required:
Construct an amortization schedule.

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QT – Nov 2017 – L1 – Q7b – Mathematics of Business Finance

Calculate the future value of a depreciated vehicle and the amount required in a sinking fund to replace it.

Alpha Transport Company buys a vehicle for GH¢265,000. The value of the vehicle depreciates on a reducing balance basis at 17% per annum. The company plans to replace this vehicle in 5 years’ time, and they expect the price of a new vehicle to increase annually by 12%.

Required:
i) Calculate the book value of the vehicle in five years’ time. (3 marks)
ii) Determine the amount of money needed in the sinking fund for the company to be able to afford a new vehicle in five years’ time. (3 marks)
iii) Calculate the required monthly deposits if the sinking fund earns an interest rate of 11% per annum compounded monthly. (3 marks)

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QT – Nov 2017 – L1 – Q7a – Mathematics of Business Finance

Determine the timeline for savings and calculate the time required to reach a target amount with compound interest.

Every Monday, Kwei puts GH¢30 into a savings account at the Ring Bank, which accrues interest of 6.92% per annum compounded weekly.

Required:
i) Draw a cash flow timeline showing the payments, the interest rate, and the present values for the first four payments. (3 marks)
ii) Determine how long it will take Kwei’s account to reach a balance of GH¢4,397.53. Convert your answer into the number of years and days to the nearest integer. (6 marks)
iii) Determine how much interest Kwei will receive from the bank during the period of his investment.

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QT – Nov 2017 – L1 – Q1d – Mathematics of Business Finance

Calculate and compare the annual percentage rates for two loan repayment options.

The Asogli Company Ltd has been offered the following alternative terms for a one-year loan to be repayable plus the interest in full at the end of the year:
i) 2.5% per month compounded monthly
ii) 10% per six months compounded six-monthly.

Required:
Calculate, for each alternative, the annual percentage rate of interest. Recommend one of the alternatives and explain why.

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QT – May 2017 – L1 – Q2a – Mathematics of Business Finance

Calculate the accumulated amount of an investment using compound interest.

Calculate the accumulated amount if GH¢2500.00 were invested at 18% compound interest for a period of six years.

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