Question Tag: Interest calculation

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  • 20 Marks

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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  • 10 Marks

PT – Aug 2022 – L2 – Q1c – Income Tax Liabilities

Calculate interest for underestimation of tax for Vito Ltd for the 2019 year of assessment.

The estimated chargeable income for Vito Ltd for the 2019 year of assessment was GH¢50,000,000, but its actual chargeable income declared at the end of the year was GH¢80,000,000. The company prepares accounts to 31 December each year. The company submitted its returns on 30 April, 2020. The BOG prevailing discount rate is 25%.

Required:
Calculate the interest for underestimation of tax.

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  • 10 Marks

AFM – May 2017 – L3 – Q5a – Hedging against financial risk: Non-derivative techniques

Calculation of settlement value, loan amount, interest on loan, and effective interest rate under a Forward Rate Agreement.

The Board of Directors of Aduana Enterprise has approved an expansion project which will require a cash inflow of GH¢10 million. The investment duration will be 6 months, and management is considering taking a fixed interest rate loan from its bankers. The loan will be required in three months from the date of board’s approval.

Management of Aduana is considering hedging its risk exposure using a Forward Rate Agreement (FRA). The 3-9 months’ FRA rate at the transaction date was 5%.

Required:
If the spot rate at the settlement date is 8%, calculate the following:
i) Settlement value (3 marks)
ii) Loan amount required (2 marks)
iii) Interest on the loan (2 marks)
iv) Effective interest rate (3 marks)

 

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  • 10 Marks

FM – May 2020 – L2 – Q3a – Simple interest and compound interest

Calculate the quarterly loan installment and prepare an amortization schedule for a loan with compound interest and equal quarterly payments.

Odapagyan Foods Ltd is borrowing GH¢500,000 to finance a project involving an expansion of its existing factory. It has obtained an offer from Sika Bank. The terms of the loan facility are as follows:

  • Annual interest rate: 22%
  • Duration: 2 years
  • Interest method: compound interest with quarterly compounding
  • Payment plan: equal installments at the end of each quarter

Required:

i) Compute the quarterly installment.
(3 marks)

ii) Prepare a loan amortization schedule to show the periodic interest charges, installment payments, principal payments, and balance of the loan at the end of each quarter.
(7 marks)

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  • 20 Marks

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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  • 10 Marks

PT – Aug 2022 – L2 – Q1c – Income Tax Liabilities

Calculate interest for underestimation of tax for Vito Ltd for the 2019 year of assessment.

The estimated chargeable income for Vito Ltd for the 2019 year of assessment was GH¢50,000,000, but its actual chargeable income declared at the end of the year was GH¢80,000,000. The company prepares accounts to 31 December each year. The company submitted its returns on 30 April, 2020. The BOG prevailing discount rate is 25%.

Required:
Calculate the interest for underestimation of tax.

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  • 10 Marks

AFM – May 2017 – L3 – Q5a – Hedging against financial risk: Non-derivative techniques

Calculation of settlement value, loan amount, interest on loan, and effective interest rate under a Forward Rate Agreement.

The Board of Directors of Aduana Enterprise has approved an expansion project which will require a cash inflow of GH¢10 million. The investment duration will be 6 months, and management is considering taking a fixed interest rate loan from its bankers. The loan will be required in three months from the date of board’s approval.

Management of Aduana is considering hedging its risk exposure using a Forward Rate Agreement (FRA). The 3-9 months’ FRA rate at the transaction date was 5%.

Required:
If the spot rate at the settlement date is 8%, calculate the following:
i) Settlement value (3 marks)
ii) Loan amount required (2 marks)
iii) Interest on the loan (2 marks)
iv) Effective interest rate (3 marks)

 

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  • 10 Marks

FM – May 2020 – L2 – Q3a – Simple interest and compound interest

Calculate the quarterly loan installment and prepare an amortization schedule for a loan with compound interest and equal quarterly payments.

Odapagyan Foods Ltd is borrowing GH¢500,000 to finance a project involving an expansion of its existing factory. It has obtained an offer from Sika Bank. The terms of the loan facility are as follows:

  • Annual interest rate: 22%
  • Duration: 2 years
  • Interest method: compound interest with quarterly compounding
  • Payment plan: equal installments at the end of each quarter

Required:

i) Compute the quarterly installment.
(3 marks)

ii) Prepare a loan amortization schedule to show the periodic interest charges, installment payments, principal payments, and balance of the loan at the end of each quarter.
(7 marks)

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