Question Tag: Equal Payments

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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 – 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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