Question Tag: Sinking Fund

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QTB – Nov 2014 – L1 – SA – Q19 – Mathematics of Business Finance

Determines the interest rate condition for a sinking fund to have a lower periodic cost than amortization

If the interest rate received on a sinking fund is ……………….., the periodic cost for the sinking fund is lower than that for amortization.
A. Lower than that charged on the debt
B. Equal to that charged on the debt
C. Higher than that charged on the debt
D. Equal to zero
E. Equal to one

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BMF – Nov 2022 – L1 – SA – Q18 – Basics of Business Finance and Financial Markets

This question tests understanding of the purpose of a sinking fund.

A fixed sum of money set aside by an organization at regular intervals to achieve a specific sum at some future point in time is called:
A. Savings
B. Sinking fund
C. Investment
D. Strategic management
E. Loan notes

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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 – May 2019 – L1 – Q7b – Mathematics of Business Finance

Explain the concept of a sinking fund and calculate equal annual payments needed to accumulate a replacement fund.

i) Any entity that issues a bond to raise capital would need to pay off the bond when it matures. Paying the debt early via a sinking fund saves a company interest expense and prevents the company from being put in financial difficulties in the future if economic or financial conditions worsen.

Required:
What is a sinking fund? (3 marks)

ii) The owner of a Business Centre purchased a robust photocopier for serving the UG University Students Community. The photocopier is expected to be replaced after 10 years. He therefore decided to set up a sinking fund and pay an equal annual amount to realize GH¢50,000, being the replacement cost.

Required:
Compute the equal annual amount he should invest if the interest rate per annum is 10%. (4 marks)

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QT – Nov 2016 – L1 – Q4c – Mathematics of Business Finance

Calculate the semi-annual sinking fund deposit required to repay a loan after 5 years.

Maame TorTor borrows GH¢3,000.00 and agrees to pay interest quarterly at an annual rate of 8%. At the same time, she sets up a sinking fund in order to repay the loan at the end of 5 years. The sinking fund earns interest at the rate of 6% compounded semi-annually.

Required:
Determine the size of each semi-annual sinking fund deposit. (5 marks)

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QT – Nov 2016 – L1 – Q4a – Mathematics of Business Finance

Explain the terms annuities, sinking fund, and amortization related to loan repayment.

One of the most important applications of annuities is the repayment of interest-bearing debts. These debts can be paid by making periodic deposits into a sinking fund, which is used at a future date to pay the principal of the debt, or by making periodic payments that cover the outstanding interest and the principal. This second method is called amortization.

Required:
i) Explain the term annuities as used in the statement above. (2 marks)
ii) What is a sinking fund? (2 marks)
iii) When is a loan with a fixed rate of interest said to be amortized? (1 mark)

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PSAF – May 2018 – L2 – Q2a – The context of public financial management

Define a Covered Entity, Public Funds, and identify sources for the Sinking Fund under the PFM Act 2016.

The Public Financial Management (PFM) Act 2016, Act 921 applies to a covered entity and a public officer responsible for receiving, using, or managing public funds. The PFM Act, Act 921 provides for the creation of a sinking fund by the Minister to be used to redeem specific debt obligations of the Government.

Required:
i) What is “a Covered Entity” as defined by the PFM Act 2016, Act 921? (3 marks)

ii) What is “Public Funds” as defined by the PFM Act 2016, Act 921? (2 marks)

iii) Identify FIVE sources of money for the sinking fund. (5 marks)

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FM – Nov 2023 – L2 – Q3 – Introduction to Investment Appraisal

Evaluate the best pay-out option for a life insurance policy, compute the annual deposit for a sinking fund, and calculate the outcome of a money market hedge.

a) Eleven years ago, Mr. and Mrs. Akolgo signed onto a joint life insurance policy, which pays out benefits to the surviving spouse when one of them dies. Mrs. Akolgo died a couple of months ago, and Mr. Akolgo has applied for the payment of benefits due him.
He has been presented with three pay-out options to choose from:
Option A: A lump sum payment of GH¢400,000 now.
Option B: A payment of GH¢100,000 now plus quarterly payments of GH¢22,000 at the end of each quarter over the next ten years.
Option C: A monthly payment of GH¢10,000 for life.
The average interest rate in the economy is 25 % per annum.

Required:
Using relevant computations, recommend to Mr. Akolgo the best pay-out option. (6 marks)

b) Gaazie Mining Company (Gaazie) borrows GH¢5 million at a compound interest rate of 28% per annum for five years. Per the terms of the loan agreement, Gaazie will pay interest on the loan monthly over the life of the loan and then make a bullet payment for the principal of the loan at the end of five years.
The managers of the company have decided to deposit equal annual amounts in an interest-bearing savings account to raise money to pay off the loan principal in five years’ time. Interest on the deposits will be paid at a compound rate of 15% per annum.

Required:
Compute the annual deposit Gaazie needs to pay into the savings account. (4 marks)

c) Tofiakwa Ltd is expecting the following in six months’ time:
Receipt: US$700,000
Payment: US$1,200,000
The spot exchange rate between the Ghanaian cedi and the U.S. dollar is currently GH¢11.1255(buy) – GH¢11.5581(sell) to US$1. The cedi-dollar exchange rate has been volatile in recent times, hence the managers of the company have decided to manage the company’s U.S. dollar exposure using a money market hedge.

The following data has been gathered from the Ghanaian and the U.S. money markets:

6-month interest rates Borrowing Investing
U.S. dollar 10.00% 8.00%
Ghanaian cedi 25.00% 18.00%

Required:
i) Set up or construct the money market hedge for the currency exposure. (3 marks)
ii) Calculate the net outcome of the hedge. (7 marks)

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FM – July 2023 – L2 – Q3 – Discounted cash flow | Simple interest and compound interest

Compute the maturity value of a loan, determine the size of quarterly sinking fund deposits, and compare annuity due with ordinary annuity.

a) Osiadan Contractors Ltd plans to construct housing units in the Kpone-Katamanso District of Ghana for sale to young professionals. It has obtained a US$4 million loan facility from the International Finance Corporation (IFC). The total principal granted will be released in two equal tranches: the first tranche to be released now and the second tranche at the beginning of the fourth year. Interest will be charged on the loan at 12% per annum with semi-annual compounding. The total principal granted plus the total interest is to be paid at the end of the duration of the loan in six years’ time.

To raise money toward the settlement of the maturity value of the loan, Osiadan Contractors Ltd plans to establish a sinking fund by which it will deposit equal amounts of U.S. dollars at the beginning of every quarter starting from the third year until the end of the loan duration. The dollar deposits will be invested at 8% per annum with quarterly compounding.

Required:
i) Compute the maturity value of the loan at the end of six years. (3 marks)
ii) Compute the size of the quarterly deposits to be invested in the sinking fund to raise the amount needed to settle the maturity value of the loan. (4 marks)
iii) Compare and contrast annuity due and ordinary annuity. (3 marks)

b) Klessy Beverages Inc (Klessy), an American malt drink producer, imports barley from Australia and pays for the import in Australian dollars. It has bought a consignment of barley with an invoice value of AUD2.5 million, and payment is due next month. The exchange rate between the United States dollar (USD) and the Australian dollar (AUD) is currently trading at USD0.7265/AUD. The Managers of Klessy fear that the Australian dollar may strengthen against the US dollar. The Treasury Manager has recommended using currency options to address the potential currency risk.

Below are the CME Group’s quotations for weekly options on the Australian dollar:

Contract Specification Call Put
Contract size AUD100,000 AUD100,000
Premium (US$) 0.0131 0.0031
Strike price (US$) 0.7275 0.7275
Expiration Week 4 Week 4

Required:
i) Justify which option Klessy should buy considering its underlying currency exposure. (3 marks)
ii) Compute the intrinsic value of your selected option and interpret the results. (4 marks)
iii) Distinguish between option premium and option strike (or exercise) price. (3 marks)

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FM – AUG 2022 – L2 – Q3 – Foreign exchange risk and currency risk management

Calculate interest rates, required sinking fund contributions, and identifies currency risk exposure with recommended hedging strategies.

a) Jeanne Cosmetics Ltd is located in Taifa and is now considered as the leader of organic and natural cosmetic products in the municipality. Per the cash management policy of Jeanne Cosmetics Ltd, any excess cash that is idle for more than three months should be invested. Three months ago, the company invested GH¢100,000 of idle cash in a 3-month fixed deposit account. The investment matures today, and the company will receive a maturity value of GH¢105,000.

Required:
i) Compute the interest rate earned on the account over the investment holding period. (2 marks)
ii) Suppose the interest rate on the account remains the same, and the company rolls over the principal, compute the annual simple interest rate on the investment. (2 marks)
iii) Suppose the interest rate on the account remains the same and the company rolls over both the principal and interests, compute the annual compound interest rate on the investment. (2 marks)

b) Apphia Fabrics Ltd plans to replace its existing manufacturing plant with a newer version in three years’ time. The replacement cost of the existing plant is GH¢10 million currently. However, experts forecast that the cost of the newer version of the plant will be GH¢12 million in three years’ time.

On the advice of the Finance Manager, the company will start saving from now to raise the required amount to buy the plant in three years’ time. Consequently, the company has signed an investment agreement with DT Financial Services Ltd. Per the agreement, the company will deposit equal amounts into an interest-bearing account at the beginning of each of the next three years. The annual nominal interest rate on the account is 16%, but interest will be compounded monthly.

Required:
Compute the equal annual deposit required to raise the required amount in three years’ time. (4 marks)

c) Aduro Pharmaceuticals Plc is a Ghana-based multinational company with a production facility in India and marketing subsidiaries in some West African countries. The Treasury Department of the company is considering strategies for managing its foreign exchange risk exposures. In particular, the Treasury Department is concerned about the following two cases of foreign exchange risk exposures:

Case 1:
The exchange rate between the Ghanaian cedi (GH¢) and the British pound sterling (GBP) is currently GH¢8.1125/GBP1. The company recently borrowed GBP500,000 from an offshore bank to buy active chemicals for the production of paracetamol syrup. The loan is to be paid in six months’ time. Market pundits project that the Ghanaian cedi would depreciate against the pound sterling over the next six months.

Case 2:
The exchange rate between the Ghanaian cedi (GH¢) and the Indian rupee (INR) is currently GH¢0.0799/INR1. The company’s production subsidiary in India presents its financial statements in the Indian rupee. The net worth of this production subsidiary in India is INR20 million. The company would be preparing its consolidated financial statements in a few months’ time. Market pundits project that the Ghanaian cedi will appreciate against the Indian rupee.

Required:
i) For each case, identify the type of currency risk exposure the company is facing. (2 marks)
ii) In respect of Case 1, recommend TWO (2) internal strategies and TWO (2) external hedging strategies the Treasury Department can use to manage the foreign exchange risk exposure. (8 marks)

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QTB – Nov 2014 – L1 – SA – Q19 – Mathematics of Business Finance

Determines the interest rate condition for a sinking fund to have a lower periodic cost than amortization

If the interest rate received on a sinking fund is ……………….., the periodic cost for the sinking fund is lower than that for amortization.
A. Lower than that charged on the debt
B. Equal to that charged on the debt
C. Higher than that charged on the debt
D. Equal to zero
E. Equal to one

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BMF – Nov 2022 – L1 – SA – Q18 – Basics of Business Finance and Financial Markets

This question tests understanding of the purpose of a sinking fund.

A fixed sum of money set aside by an organization at regular intervals to achieve a specific sum at some future point in time is called:
A. Savings
B. Sinking fund
C. Investment
D. Strategic management
E. Loan notes

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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 – May 2019 – L1 – Q7b – Mathematics of Business Finance

Explain the concept of a sinking fund and calculate equal annual payments needed to accumulate a replacement fund.

i) Any entity that issues a bond to raise capital would need to pay off the bond when it matures. Paying the debt early via a sinking fund saves a company interest expense and prevents the company from being put in financial difficulties in the future if economic or financial conditions worsen.

Required:
What is a sinking fund? (3 marks)

ii) The owner of a Business Centre purchased a robust photocopier for serving the UG University Students Community. The photocopier is expected to be replaced after 10 years. He therefore decided to set up a sinking fund and pay an equal annual amount to realize GH¢50,000, being the replacement cost.

Required:
Compute the equal annual amount he should invest if the interest rate per annum is 10%. (4 marks)

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QT – Nov 2016 – L1 – Q4c – Mathematics of Business Finance

Calculate the semi-annual sinking fund deposit required to repay a loan after 5 years.

Maame TorTor borrows GH¢3,000.00 and agrees to pay interest quarterly at an annual rate of 8%. At the same time, she sets up a sinking fund in order to repay the loan at the end of 5 years. The sinking fund earns interest at the rate of 6% compounded semi-annually.

Required:
Determine the size of each semi-annual sinking fund deposit. (5 marks)

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QT – Nov 2016 – L1 – Q4a – Mathematics of Business Finance

Explain the terms annuities, sinking fund, and amortization related to loan repayment.

One of the most important applications of annuities is the repayment of interest-bearing debts. These debts can be paid by making periodic deposits into a sinking fund, which is used at a future date to pay the principal of the debt, or by making periodic payments that cover the outstanding interest and the principal. This second method is called amortization.

Required:
i) Explain the term annuities as used in the statement above. (2 marks)
ii) What is a sinking fund? (2 marks)
iii) When is a loan with a fixed rate of interest said to be amortized? (1 mark)

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PSAF – May 2018 – L2 – Q2a – The context of public financial management

Define a Covered Entity, Public Funds, and identify sources for the Sinking Fund under the PFM Act 2016.

The Public Financial Management (PFM) Act 2016, Act 921 applies to a covered entity and a public officer responsible for receiving, using, or managing public funds. The PFM Act, Act 921 provides for the creation of a sinking fund by the Minister to be used to redeem specific debt obligations of the Government.

Required:
i) What is “a Covered Entity” as defined by the PFM Act 2016, Act 921? (3 marks)

ii) What is “Public Funds” as defined by the PFM Act 2016, Act 921? (2 marks)

iii) Identify FIVE sources of money for the sinking fund. (5 marks)

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FM – Nov 2023 – L2 – Q3 – Introduction to Investment Appraisal

Evaluate the best pay-out option for a life insurance policy, compute the annual deposit for a sinking fund, and calculate the outcome of a money market hedge.

a) Eleven years ago, Mr. and Mrs. Akolgo signed onto a joint life insurance policy, which pays out benefits to the surviving spouse when one of them dies. Mrs. Akolgo died a couple of months ago, and Mr. Akolgo has applied for the payment of benefits due him.
He has been presented with three pay-out options to choose from:
Option A: A lump sum payment of GH¢400,000 now.
Option B: A payment of GH¢100,000 now plus quarterly payments of GH¢22,000 at the end of each quarter over the next ten years.
Option C: A monthly payment of GH¢10,000 for life.
The average interest rate in the economy is 25 % per annum.

Required:
Using relevant computations, recommend to Mr. Akolgo the best pay-out option. (6 marks)

b) Gaazie Mining Company (Gaazie) borrows GH¢5 million at a compound interest rate of 28% per annum for five years. Per the terms of the loan agreement, Gaazie will pay interest on the loan monthly over the life of the loan and then make a bullet payment for the principal of the loan at the end of five years.
The managers of the company have decided to deposit equal annual amounts in an interest-bearing savings account to raise money to pay off the loan principal in five years’ time. Interest on the deposits will be paid at a compound rate of 15% per annum.

Required:
Compute the annual deposit Gaazie needs to pay into the savings account. (4 marks)

c) Tofiakwa Ltd is expecting the following in six months’ time:
Receipt: US$700,000
Payment: US$1,200,000
The spot exchange rate between the Ghanaian cedi and the U.S. dollar is currently GH¢11.1255(buy) – GH¢11.5581(sell) to US$1. The cedi-dollar exchange rate has been volatile in recent times, hence the managers of the company have decided to manage the company’s U.S. dollar exposure using a money market hedge.

The following data has been gathered from the Ghanaian and the U.S. money markets:

6-month interest rates Borrowing Investing
U.S. dollar 10.00% 8.00%
Ghanaian cedi 25.00% 18.00%

Required:
i) Set up or construct the money market hedge for the currency exposure. (3 marks)
ii) Calculate the net outcome of the hedge. (7 marks)

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FM – July 2023 – L2 – Q3 – Discounted cash flow | Simple interest and compound interest

Compute the maturity value of a loan, determine the size of quarterly sinking fund deposits, and compare annuity due with ordinary annuity.

a) Osiadan Contractors Ltd plans to construct housing units in the Kpone-Katamanso District of Ghana for sale to young professionals. It has obtained a US$4 million loan facility from the International Finance Corporation (IFC). The total principal granted will be released in two equal tranches: the first tranche to be released now and the second tranche at the beginning of the fourth year. Interest will be charged on the loan at 12% per annum with semi-annual compounding. The total principal granted plus the total interest is to be paid at the end of the duration of the loan in six years’ time.

To raise money toward the settlement of the maturity value of the loan, Osiadan Contractors Ltd plans to establish a sinking fund by which it will deposit equal amounts of U.S. dollars at the beginning of every quarter starting from the third year until the end of the loan duration. The dollar deposits will be invested at 8% per annum with quarterly compounding.

Required:
i) Compute the maturity value of the loan at the end of six years. (3 marks)
ii) Compute the size of the quarterly deposits to be invested in the sinking fund to raise the amount needed to settle the maturity value of the loan. (4 marks)
iii) Compare and contrast annuity due and ordinary annuity. (3 marks)

b) Klessy Beverages Inc (Klessy), an American malt drink producer, imports barley from Australia and pays for the import in Australian dollars. It has bought a consignment of barley with an invoice value of AUD2.5 million, and payment is due next month. The exchange rate between the United States dollar (USD) and the Australian dollar (AUD) is currently trading at USD0.7265/AUD. The Managers of Klessy fear that the Australian dollar may strengthen against the US dollar. The Treasury Manager has recommended using currency options to address the potential currency risk.

Below are the CME Group’s quotations for weekly options on the Australian dollar:

Contract Specification Call Put
Contract size AUD100,000 AUD100,000
Premium (US$) 0.0131 0.0031
Strike price (US$) 0.7275 0.7275
Expiration Week 4 Week 4

Required:
i) Justify which option Klessy should buy considering its underlying currency exposure. (3 marks)
ii) Compute the intrinsic value of your selected option and interpret the results. (4 marks)
iii) Distinguish between option premium and option strike (or exercise) price. (3 marks)

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FM – AUG 2022 – L2 – Q3 – Foreign exchange risk and currency risk management

Calculate interest rates, required sinking fund contributions, and identifies currency risk exposure with recommended hedging strategies.

a) Jeanne Cosmetics Ltd is located in Taifa and is now considered as the leader of organic and natural cosmetic products in the municipality. Per the cash management policy of Jeanne Cosmetics Ltd, any excess cash that is idle for more than three months should be invested. Three months ago, the company invested GH¢100,000 of idle cash in a 3-month fixed deposit account. The investment matures today, and the company will receive a maturity value of GH¢105,000.

Required:
i) Compute the interest rate earned on the account over the investment holding period. (2 marks)
ii) Suppose the interest rate on the account remains the same, and the company rolls over the principal, compute the annual simple interest rate on the investment. (2 marks)
iii) Suppose the interest rate on the account remains the same and the company rolls over both the principal and interests, compute the annual compound interest rate on the investment. (2 marks)

b) Apphia Fabrics Ltd plans to replace its existing manufacturing plant with a newer version in three years’ time. The replacement cost of the existing plant is GH¢10 million currently. However, experts forecast that the cost of the newer version of the plant will be GH¢12 million in three years’ time.

On the advice of the Finance Manager, the company will start saving from now to raise the required amount to buy the plant in three years’ time. Consequently, the company has signed an investment agreement with DT Financial Services Ltd. Per the agreement, the company will deposit equal amounts into an interest-bearing account at the beginning of each of the next three years. The annual nominal interest rate on the account is 16%, but interest will be compounded monthly.

Required:
Compute the equal annual deposit required to raise the required amount in three years’ time. (4 marks)

c) Aduro Pharmaceuticals Plc is a Ghana-based multinational company with a production facility in India and marketing subsidiaries in some West African countries. The Treasury Department of the company is considering strategies for managing its foreign exchange risk exposures. In particular, the Treasury Department is concerned about the following two cases of foreign exchange risk exposures:

Case 1:
The exchange rate between the Ghanaian cedi (GH¢) and the British pound sterling (GBP) is currently GH¢8.1125/GBP1. The company recently borrowed GBP500,000 from an offshore bank to buy active chemicals for the production of paracetamol syrup. The loan is to be paid in six months’ time. Market pundits project that the Ghanaian cedi would depreciate against the pound sterling over the next six months.

Case 2:
The exchange rate between the Ghanaian cedi (GH¢) and the Indian rupee (INR) is currently GH¢0.0799/INR1. The company’s production subsidiary in India presents its financial statements in the Indian rupee. The net worth of this production subsidiary in India is INR20 million. The company would be preparing its consolidated financial statements in a few months’ time. Market pundits project that the Ghanaian cedi will appreciate against the Indian rupee.

Required:
i) For each case, identify the type of currency risk exposure the company is facing. (2 marks)
ii) In respect of Case 1, recommend TWO (2) internal strategies and TWO (2) external hedging strategies the Treasury Department can use to manage the foreign exchange risk exposure. (8 marks)

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