Question Tag: Interest Rate

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PSAF – Nov 2015 – L2 – Q2 – Pension Accounting in the Public Sector

Analysis of pension misappropriation under the Pension Reform Act, detailing offences, penalties, and competent jurisdictions.

Mr. Betta Tomoro is a staff of Goodlife Local Government Council of Welfare State. He has been in the local government council’s employment for twenty-five (25) years. Recently, he attained the age of fifty-two (52) years. He had risen to the post of an Assistant Director on grade level 15, step 2. Mr. Betta Tomoro and his employer had contributed the sum of N8.5 million under the old Pension Scheme and Pension Reform Act 2014. Monthly contributions are sent to his Pension Fund Administrator (PFA), Diversity Pension Managers Limited.

It is the practice of the Pension Fund Administrator to send to Mr. Betta Tomoro the records of his pension on a monthly basis. However, in April 2015, no further record was received by Mr. Betta Tomoro concerning his pension fund. This resulted in his visit to the Pension Fund Administrator’s office to inquire about the sudden stoppage of his pension fund.

During cross-examination at the Court of Competent Jurisdiction to hear pension-related offences, it was found that five staff members of Diversity Pension Managers Limited had bought mansions in Victoria Garden City and other houses in London valued at N380 million. They jointly floated a company, Owo-mugun Limited, with all operational infrastructure in place, all valued at N175 million. They also had N18 million in various local and international bank accounts.

After two hearings on the allegations of criminal misappropriation of clients’ pension monies filed against these staff, judgment was reserved by the court for December 15, 2015.

Required:

a. In line with the Pension Reform Act 2014, identify TWO acts that constitute criminal offences.
(4 Marks)

b. If by December 15, 2015, the five staff are found guilty of misappropriation of clients’ pension fund, state THREE penalties provided to be imposed on them as per the Pension Reform Act 2014.
(6 Marks)

c. Identify THREE Courts of Competent Jurisdiction that can hear pension-related cases as provided in the Act.
(3 Marks)

d. If Mr. Betta Tomoro preferred to withdraw his service voluntarily from Goodlife Local Government Council at the age of forty-five (45) years, what provisions would be available to him concerning his pension contribution?
(3 Marks)

e. Assuming the prevailing interest rate is 21.5%, compute the total amount payable by the convicts (including interest) if the entire amount misappropriated is ordered to be refunded by the court.
(4 Marks)

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BMF – Nov 2020 – L1 – SA – Q7 – Basics of Business Finance and Financial Markets

Calculate the simple interest rate for a 3-month loan.

Ronny wants to borrow N160,000 from his friend. He is willing to pay back N174,400 in 3 months. What simple interest rate will be applicable?
A. 34%
B. 35.5%
C. 36%
D. 36.5%
E. 37%

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QTB – May 2017 – L1 – SB – Q3a – Mathematics

Determine the annual savings required to accumulate a future sum under annuity terms.

A lawyer plans to save a certain amount of money Nx per annum for 5 years on the first day of the year. If the interest rate is 8%, for him to receive N696,910.50, determine x. (10 Marks)

 

 

 

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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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QTB – May 2015 – L1 – SB – Q3b – Mathematics

This question involves expressing the interest rate in terms of future value and principal investment for a 3-year investment.

Mr. Taiwo invested a certain amount of money P, at an annual interest rate r, for a period
of 3 years. The future value of this investment is given by

Express r in terms of S and P

 

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PSAF – Nov 2018 – L2 – Q3 – Government Expenditure

Calculate loans granted to civil servants, interest on loans, and discuss conditions and requirements for correspondence advances.

In order to ameliorate the transportation challenges being encountered by civil servants, Welfare State of Nigeria gave motor vehicle, tri-cycle, and motorcycle loans and advances for its workers. The workers were granted loans and advances equivalent to their annual basic salary. The total fund available for the loan was N1 billion. The officers that applied for the loans and their grade levels are as follows:

  • 250 officers – GL 01 – 05 at an average annual basic salary of N258,000;
  • 100 officers – GL 06 – 07 at an average annual basic salary of N450,000;
  • 50 officers – GL 08 and above at an average annual basic salary of N650,000.

The interest rate payable on the loans and advances is 12.5% p.a. to take care of the time value of money.

Required:
(a) You are required to calculate:
i. The total loans and advances that were given to the workers, showing the balance of the fund not yet accessed.
(10 Marks)
ii. The aggregate interest paid on the loans and advances.
(2 Marks)

(b) Discuss:
i. Four conditions which have to be fulfilled for the grant of correspondence advance.
(4 Marks)
ii. Two requirements for granting and repaying correspondence advance.
(4 Marks)

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BMF – May 2021 – L1 – SA – Q15 – Basics of Business Finance and Financial Markets

Calculates the simple interest rate Blake will pay when borrowing N120,000 from Jerry and repaying N127,000 in 3 months.

Blake wants to borrow N120,000 from Jerry. Blake is willing to pay back N127,000 in 3 months, what simple interest rate will he pay?
A. 21.33%
B. 22.33%
C. 23.33%
D. 24.33%
E. 25.33%

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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 2018 – L1 – Q3b – Mathematics of Business Finance

Calculate the maximum loan Kasuli can borrow at 15% interest with monthly payments of GH¢1,400 over 20 years.

Kasuli, a Marketing Executive who could not recover any amount out of his investment, decided to take a mortgage at an interest rate of 15% over a 20-year term. If his income is enough to enable him to pay GH¢1,400 per month, what is the maximum amount he can borrow? (10 marks)

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QT – Nov 2015 – L1 – Q5b – Mathematics of Business Finance

Determine how long it will take for an investment to grow at a given interest rate and calculate the interest rate required for tripling the investment.

KuKu invested GHS 2000.00 into a Deluxe Equity Fund.

Required:
(i) Determine how long it will take for the GHS 2000.00 investment to accumulate GHS 800.00 interest at 10% compounded quarterly, if the interest is allowed for the fractional part of a conversion period (1 month = 30 days).

(ii) Determine how long it will take the GHS 2000.00 investment to triple in value if it doubled in value in 6 years at a certain rate of interest compounded monthly (1 month = 30 days).
(iii) Determine the interest rate in (ii).

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PSAF – Nov 2015 – L2 – Q2 – Pension Accounting in the Public Sector

Analysis of pension misappropriation under the Pension Reform Act, detailing offences, penalties, and competent jurisdictions.

Mr. Betta Tomoro is a staff of Goodlife Local Government Council of Welfare State. He has been in the local government council’s employment for twenty-five (25) years. Recently, he attained the age of fifty-two (52) years. He had risen to the post of an Assistant Director on grade level 15, step 2. Mr. Betta Tomoro and his employer had contributed the sum of N8.5 million under the old Pension Scheme and Pension Reform Act 2014. Monthly contributions are sent to his Pension Fund Administrator (PFA), Diversity Pension Managers Limited.

It is the practice of the Pension Fund Administrator to send to Mr. Betta Tomoro the records of his pension on a monthly basis. However, in April 2015, no further record was received by Mr. Betta Tomoro concerning his pension fund. This resulted in his visit to the Pension Fund Administrator’s office to inquire about the sudden stoppage of his pension fund.

During cross-examination at the Court of Competent Jurisdiction to hear pension-related offences, it was found that five staff members of Diversity Pension Managers Limited had bought mansions in Victoria Garden City and other houses in London valued at N380 million. They jointly floated a company, Owo-mugun Limited, with all operational infrastructure in place, all valued at N175 million. They also had N18 million in various local and international bank accounts.

After two hearings on the allegations of criminal misappropriation of clients’ pension monies filed against these staff, judgment was reserved by the court for December 15, 2015.

Required:

a. In line with the Pension Reform Act 2014, identify TWO acts that constitute criminal offences.
(4 Marks)

b. If by December 15, 2015, the five staff are found guilty of misappropriation of clients’ pension fund, state THREE penalties provided to be imposed on them as per the Pension Reform Act 2014.
(6 Marks)

c. Identify THREE Courts of Competent Jurisdiction that can hear pension-related cases as provided in the Act.
(3 Marks)

d. If Mr. Betta Tomoro preferred to withdraw his service voluntarily from Goodlife Local Government Council at the age of forty-five (45) years, what provisions would be available to him concerning his pension contribution?
(3 Marks)

e. Assuming the prevailing interest rate is 21.5%, compute the total amount payable by the convicts (including interest) if the entire amount misappropriated is ordered to be refunded by the court.
(4 Marks)

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BMF – Nov 2020 – L1 – SA – Q7 – Basics of Business Finance and Financial Markets

Calculate the simple interest rate for a 3-month loan.

Ronny wants to borrow N160,000 from his friend. He is willing to pay back N174,400 in 3 months. What simple interest rate will be applicable?
A. 34%
B. 35.5%
C. 36%
D. 36.5%
E. 37%

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QTB – May 2017 – L1 – SB – Q3a – Mathematics

Determine the annual savings required to accumulate a future sum under annuity terms.

A lawyer plans to save a certain amount of money Nx per annum for 5 years on the first day of the year. If the interest rate is 8%, for him to receive N696,910.50, determine x. (10 Marks)

 

 

 

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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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QTB – May 2015 – L1 – SB – Q3b – Mathematics

This question involves expressing the interest rate in terms of future value and principal investment for a 3-year investment.

Mr. Taiwo invested a certain amount of money P, at an annual interest rate r, for a period
of 3 years. The future value of this investment is given by

Express r in terms of S and P

 

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PSAF – Nov 2018 – L2 – Q3 – Government Expenditure

Calculate loans granted to civil servants, interest on loans, and discuss conditions and requirements for correspondence advances.

In order to ameliorate the transportation challenges being encountered by civil servants, Welfare State of Nigeria gave motor vehicle, tri-cycle, and motorcycle loans and advances for its workers. The workers were granted loans and advances equivalent to their annual basic salary. The total fund available for the loan was N1 billion. The officers that applied for the loans and their grade levels are as follows:

  • 250 officers – GL 01 – 05 at an average annual basic salary of N258,000;
  • 100 officers – GL 06 – 07 at an average annual basic salary of N450,000;
  • 50 officers – GL 08 and above at an average annual basic salary of N650,000.

The interest rate payable on the loans and advances is 12.5% p.a. to take care of the time value of money.

Required:
(a) You are required to calculate:
i. The total loans and advances that were given to the workers, showing the balance of the fund not yet accessed.
(10 Marks)
ii. The aggregate interest paid on the loans and advances.
(2 Marks)

(b) Discuss:
i. Four conditions which have to be fulfilled for the grant of correspondence advance.
(4 Marks)
ii. Two requirements for granting and repaying correspondence advance.
(4 Marks)

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BMF – May 2021 – L1 – SA – Q15 – Basics of Business Finance and Financial Markets

Calculates the simple interest rate Blake will pay when borrowing N120,000 from Jerry and repaying N127,000 in 3 months.

Blake wants to borrow N120,000 from Jerry. Blake is willing to pay back N127,000 in 3 months, what simple interest rate will he pay?
A. 21.33%
B. 22.33%
C. 23.33%
D. 24.33%
E. 25.33%

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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 2018 – L1 – Q3b – Mathematics of Business Finance

Calculate the maximum loan Kasuli can borrow at 15% interest with monthly payments of GH¢1,400 over 20 years.

Kasuli, a Marketing Executive who could not recover any amount out of his investment, decided to take a mortgage at an interest rate of 15% over a 20-year term. If his income is enough to enable him to pay GH¢1,400 per month, what is the maximum amount he can borrow? (10 marks)

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QT – Nov 2015 – L1 – Q5b – Mathematics of Business Finance

Determine how long it will take for an investment to grow at a given interest rate and calculate the interest rate required for tripling the investment.

KuKu invested GHS 2000.00 into a Deluxe Equity Fund.

Required:
(i) Determine how long it will take for the GHS 2000.00 investment to accumulate GHS 800.00 interest at 10% compounded quarterly, if the interest is allowed for the fractional part of a conversion period (1 month = 30 days).

(ii) Determine how long it will take the GHS 2000.00 investment to triple in value if it doubled in value in 6 years at a certain rate of interest compounded monthly (1 month = 30 days).
(iii) Determine the interest rate in (ii).

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