Question Tag: Time value of money

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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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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 – Nov 2015 – L1 – SA – Q18 – Mathematics of Business Finance

This question identifies the term used to describe the process of calculating present value from future value.

The term used to describe the process of working backwards in time to find the present value from the future value of an investment is known as:

A. Discount
B. Discounting
C. Discount Rate
D. Annuity
E. Amortization

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QTB – May 2015 – L1 – SA – Q1 – Mathematics

Calculating how long it takes for N500 to appreciate to N10,000 at 5% continuous interest.

The present value of NA to be paid in t years in the future (assuming 5% continuous interest rate) is P (A, t) = Ae^0.05t. How long will it take N500 to appreciate to N10,000?

A. 5.99 years
B. 26.00 years
C. 52.00 years
D. 59.91 years
E. 599.10 years

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BMF – May 2021 – L1 – SA – Q17 – Investment Decisions

Calculates the present value of N120,000 received two years from now at a time preference rate of 6.5%.

Assuming a 6.5% time preference rate, what is the present value of N120,000 received two years from now?
A. ₦104,799.11
B. ₦105,799.11
C. ₦106,799.11
D. ₦107,799.11
E. ₦108,799.11

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BMF – Nov 2023 – L1 – SA – Q5 – Investment Decisions

Calculate the present value of a future amount discounted at 12%.

Calculate the present value, discounted at 12 percent, of receiving N300,000 at the end of year 6.

A. 151,989.34
B. 162,999.34
C. 173,989.34
D. 184,989.34
E. 195,989.34

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BMF – Nov 2019 – L1 – SA – Q17 – Basics of Business Finance and Financial Markets-

Calculating the present value of a future amount with a given time preference rate

Assuming a 5% time preference rate, what is the present value of ₦12,000 received at the end of 15 years?
A. ₦3,772.00
B. ₦4,772.00
C. ₦5,772.00
D. ₦6,772.00
E. ₦7,772.00

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QT – May 2017 – L1 – Q2b – Mathematics of Business Finance

Determine the present value of future sums and identify the preferred business opportunity.

A model for calculating the amount required, , to achieve a specified sum at some future point in time,  years at a rate of interest r, is given by:

Required:

i) Determine the present value of GH¢7000.00 payable in 4 years.
(7 marks)

ii) Determine the present value of GH¢8000.00 payable in 6 years.
(7 marks)

You are required to discount these future sums using an interest rate of 8%.

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QT – May 2018 – L1 – Q5 – Mathematics of Business Finance

Calculate the size of an investment with varying interest rates, including savings accumulation, withdrawals, and future balances.

a) Kofy Addo invested GH¢4,000 into his bank account at the beginning of every year for four years. The bank paid interest at 8% compounded annually for the first four years. Thereafter, the interest rate changed to 8.35%, but Kofy Addo did not make any more deposits. At the end of the sixth year, he withdrew GH¢5000.

Required:

i) Calculate the size of the investment at the end of the sixth year, before the withdrawal.
ii) Calculate the size of the investment after the withdrawal in the sixth year.
iii) Calculate the balance in the account after the eighth year.

b) Kofy Addo decided to start saving money for his future. At the end of each month, he deposited GH¢500 into an account at Trust Bank, which earned an interest rate of 9% per annum compounded monthly.

Required:

i) Determine the balance of Kofy Addo’s account after 20 years. (4 marks)
ii) Calculate the amount deposited into the account over the 20-year period. (2 marks)
iii) Calculate how much interest he earned over the 20-year period. (2 marks)
iv) Calculate the effective annual rate of interest. (2 marks)

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MA – May 2020 – L2 – Q4b – Discounted cash flow

Explain the elements that determine the time value of money and its importance in investment appraisal.

b) The main reason why discounted cash flow methods of investment appraisal are considered theoretically superior is that they take into account the time value of money.

Required:

Explain THREE (3) elements that determine the time value of money and why it is important to take them into consideration when appraising investment projects. (6 marks)

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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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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 – Nov 2015 – L1 – SA – Q18 – Mathematics of Business Finance

This question identifies the term used to describe the process of calculating present value from future value.

The term used to describe the process of working backwards in time to find the present value from the future value of an investment is known as:

A. Discount
B. Discounting
C. Discount Rate
D. Annuity
E. Amortization

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You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q18 – Mathematics of Business Finance"

QTB – May 2015 – L1 – SA – Q1 – Mathematics

Calculating how long it takes for N500 to appreciate to N10,000 at 5% continuous interest.

The present value of NA to be paid in t years in the future (assuming 5% continuous interest rate) is P (A, t) = Ae^0.05t. How long will it take N500 to appreciate to N10,000?

A. 5.99 years
B. 26.00 years
C. 52.00 years
D. 59.91 years
E. 599.10 years

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BMF – May 2021 – L1 – SA – Q17 – Investment Decisions

Calculates the present value of N120,000 received two years from now at a time preference rate of 6.5%.

Assuming a 6.5% time preference rate, what is the present value of N120,000 received two years from now?
A. ₦104,799.11
B. ₦105,799.11
C. ₦106,799.11
D. ₦107,799.11
E. ₦108,799.11

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BMF – Nov 2023 – L1 – SA – Q5 – Investment Decisions

Calculate the present value of a future amount discounted at 12%.

Calculate the present value, discounted at 12 percent, of receiving N300,000 at the end of year 6.

A. 151,989.34
B. 162,999.34
C. 173,989.34
D. 184,989.34
E. 195,989.34

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BMF – Nov 2019 – L1 – SA – Q17 – Basics of Business Finance and Financial Markets-

Calculating the present value of a future amount with a given time preference rate

Assuming a 5% time preference rate, what is the present value of ₦12,000 received at the end of 15 years?
A. ₦3,772.00
B. ₦4,772.00
C. ₦5,772.00
D. ₦6,772.00
E. ₦7,772.00

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QT – May 2017 – L1 – Q2b – Mathematics of Business Finance

Determine the present value of future sums and identify the preferred business opportunity.

A model for calculating the amount required, , to achieve a specified sum at some future point in time,  years at a rate of interest r, is given by:

Required:

i) Determine the present value of GH¢7000.00 payable in 4 years.
(7 marks)

ii) Determine the present value of GH¢8000.00 payable in 6 years.
(7 marks)

You are required to discount these future sums using an interest rate of 8%.

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QT – May 2018 – L1 – Q5 – Mathematics of Business Finance

Calculate the size of an investment with varying interest rates, including savings accumulation, withdrawals, and future balances.

a) Kofy Addo invested GH¢4,000 into his bank account at the beginning of every year for four years. The bank paid interest at 8% compounded annually for the first four years. Thereafter, the interest rate changed to 8.35%, but Kofy Addo did not make any more deposits. At the end of the sixth year, he withdrew GH¢5000.

Required:

i) Calculate the size of the investment at the end of the sixth year, before the withdrawal.
ii) Calculate the size of the investment after the withdrawal in the sixth year.
iii) Calculate the balance in the account after the eighth year.

b) Kofy Addo decided to start saving money for his future. At the end of each month, he deposited GH¢500 into an account at Trust Bank, which earned an interest rate of 9% per annum compounded monthly.

Required:

i) Determine the balance of Kofy Addo’s account after 20 years. (4 marks)
ii) Calculate the amount deposited into the account over the 20-year period. (2 marks)
iii) Calculate how much interest he earned over the 20-year period. (2 marks)
iv) Calculate the effective annual rate of interest. (2 marks)

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MA – May 2020 – L2 – Q4b – Discounted cash flow

Explain the elements that determine the time value of money and its importance in investment appraisal.

b) The main reason why discounted cash flow methods of investment appraisal are considered theoretically superior is that they take into account the time value of money.

Required:

Explain THREE (3) elements that determine the time value of money and why it is important to take them into consideration when appraising investment projects. (6 marks)

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