Question Tag: Effective Interest Rate

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FR – Nov 2022 – L2 – Q4d – Amortisation Schedule for Bond

Prepare amortisation schedule for Lagos State Government Bond and record journal entries on maturity date.

On January 1, 2020, an entity bought Lagos State Government Bond in the capital market for N575,000,000. The principal amount of the bond is
N500,000,000 and it is redeemable at par on December 31, 2025. The bond has a stated interest rate of 15% payable annually and an effective interest rate of 12%. Draft an amortisation schedule to indicate the amortised cost at the end of each year and the journal entries at the end of December 31, 2025

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QTB – Nov 2015 – L1 – SA – Q19 – Mathematics of Business Finance

This question asks which type of loan incurs a higher effective rate if paid off ahead of time.

The borrower who pays off a …………………… ahead of time pays a higher effective rate:

A. Discounted loan
B. Standing loan
C. Amortised loan
D. Ordinary loan
E. Bank loan

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FR – May 2020 – L2 – Q2c – Bond Recognition under IFRS 9

Calculate the amount to be recognized in Asamankese Ltd’s financial statements for a bond purchased at a discount under IFRS 9.

Asamankese Ltd (Asamankese) purchased a 6% GH¢50 million bond on 1 August 2018 at a 10% discount to par value. Expenses of purchase were GH¢500,000. The bond is due for redemption on 31 July 2028 at par. The effective annual interest rate to maturity is 7.3%. Asamankese intends to hold the bond until its maturity date.

Required:
In accordance with IFRS 9: Financial Instruments, how much should be recognized in Asamankese’s financial statements in respect of the above transaction for the year ended 31 July 2019 (to two decimal places)?

 

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FR – May 2020 – L2 – Q2c – Bond Recognition under IFRS 9

Calculate the amount to be recognized in Asamankese Ltd’s financial statements for a bond purchased at a discount under IFRS 9.

Asamankese Ltd (Asamankese) purchased a 6% GH¢50 million bond on 1 August 2018 at a 10% discount to par value. Expenses of purchase were GH¢500,000. The bond is due for redemption on 31 July 2028 at par. The effective annual interest rate to maturity is 7.3%. Asamankese intends to hold the bond until its maturity date.

Required:
In accordance with IFRS 9: Financial Instruments, how much should be recognized in Asamankese’s financial statements in respect of the above transaction for the year ended 31 July 2019 (to two decimal places)?

 

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BMF – Mar July 2020 – L1 – SA – Q9 – Basics of Business Finance and Financial Markets

Calculating the effective interest rate for an account with quarterly compounding.

What will be the effective rate for an account that pays 8% compounded quarterly?
A. 5.21%
B. 6.24%
C. 7.21%
D. 8.24%
E. 9.21%

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CR – Nov 2019 – L3 – Q2c – Financial instruments: Presentation and disclosure 511

Explain the accounting treatment for bonds issued by Kaduna Ltd using the amortised cost method.

c) On 1 January 2018, Kaduna Ltd issued 10,000 bond instruments with a face value of GH¢100 at a market price of GH¢95. Bond brokers charged fees totalling GH¢18,000 in relation to the bond issue. The bonds carry a coupon rate of 5% and are redeemable in 3 years at face value.

Kaduna Ltd wishes to account for the bonds using IFRS 9: Financial Instruments amortised cost method. However, there was some confusion about how the bonds should be accounted for. Currently, the cash received from the bond issue of GH¢950,000 has been recognised as a non-current liability. The broker fees of GH¢18,000 were deducted from the non-current liability carrying amount, the coupon payment of GH¢50,000 has been expensed in arriving at profit before tax, and the effective rate of interest is 7.62%.

Required:
Justify the necessary accounting treatment of the above transaction relating to Kaduna Ltd for the year ended 31 December 2018. (5 marks)

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FINANCIAL MANAGEMENT – MAY 2021 – L2 – Q1B – Discounted cash flow

Compute the effective annual interest rate and withdrawal amount for an investment account, and distinguish between annuity due and ordinary annuity.

Puma Beverages Plc currently operates a single processing plant in Tema. The company plans to install and run processing plants in four other regions in Ghana.

The Finance Manager has presented an investment and financing strategy for this expansion project to the Board of Directors for their study. The proposed investment strategy is that the company sets up the four processing plants in turns. Specifically, the company will install the first plant at the end of the fifth year from now, the second at the end of the sixth year from now, and the rest follow annually in that order.

The proposed financing strategy is that the company finances the expansion project with its retained earnings. To do this, the company should deposit GH¢100 million into an investment account today. The account will earn interest at an annual nominal interest rate of 16%, with monthly compounding through the account’s life. The company will withdraw even amounts from the account at the end of each year starting from the end of year five until the account is closed at the end of year eight (i.e., four withdrawals in all) to finance the installation of each of the four processing plants in line with the investment strategy.

Required:
i) Compute the effective annual interest rate on the investment account. (3 marks)
ii) Compute the even amount that should be withdrawn from the account at the end of each year from the fifth year to the eighth year such that the account balance reduces to zero upon the last withdrawal at the end of the eighth year. (5 marks)
iii) Distinguish between annuity due and ordinary annuity. (2 marks)

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FR – Nov 2022 – L2 – Q4d – Amortisation Schedule for Bond

Prepare amortisation schedule for Lagos State Government Bond and record journal entries on maturity date.

On January 1, 2020, an entity bought Lagos State Government Bond in the capital market for N575,000,000. The principal amount of the bond is
N500,000,000 and it is redeemable at par on December 31, 2025. The bond has a stated interest rate of 15% payable annually and an effective interest rate of 12%. Draft an amortisation schedule to indicate the amortised cost at the end of each year and the journal entries at the end of December 31, 2025

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QTB – Nov 2015 – L1 – SA – Q19 – Mathematics of Business Finance

This question asks which type of loan incurs a higher effective rate if paid off ahead of time.

The borrower who pays off a …………………… ahead of time pays a higher effective rate:

A. Discounted loan
B. Standing loan
C. Amortised loan
D. Ordinary loan
E. Bank loan

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FR – May 2020 – L2 – Q2c – Bond Recognition under IFRS 9

Calculate the amount to be recognized in Asamankese Ltd’s financial statements for a bond purchased at a discount under IFRS 9.

Asamankese Ltd (Asamankese) purchased a 6% GH¢50 million bond on 1 August 2018 at a 10% discount to par value. Expenses of purchase were GH¢500,000. The bond is due for redemption on 31 July 2028 at par. The effective annual interest rate to maturity is 7.3%. Asamankese intends to hold the bond until its maturity date.

Required:
In accordance with IFRS 9: Financial Instruments, how much should be recognized in Asamankese’s financial statements in respect of the above transaction for the year ended 31 July 2019 (to two decimal places)?

 

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FR – May 2020 – L2 – Q2c – Bond Recognition under IFRS 9

Calculate the amount to be recognized in Asamankese Ltd’s financial statements for a bond purchased at a discount under IFRS 9.

Asamankese Ltd (Asamankese) purchased a 6% GH¢50 million bond on 1 August 2018 at a 10% discount to par value. Expenses of purchase were GH¢500,000. The bond is due for redemption on 31 July 2028 at par. The effective annual interest rate to maturity is 7.3%. Asamankese intends to hold the bond until its maturity date.

Required:
In accordance with IFRS 9: Financial Instruments, how much should be recognized in Asamankese’s financial statements in respect of the above transaction for the year ended 31 July 2019 (to two decimal places)?

 

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BMF – Mar July 2020 – L1 – SA – Q9 – Basics of Business Finance and Financial Markets

Calculating the effective interest rate for an account with quarterly compounding.

What will be the effective rate for an account that pays 8% compounded quarterly?
A. 5.21%
B. 6.24%
C. 7.21%
D. 8.24%
E. 9.21%

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CR – Nov 2019 – L3 – Q2c – Financial instruments: Presentation and disclosure 511

Explain the accounting treatment for bonds issued by Kaduna Ltd using the amortised cost method.

c) On 1 January 2018, Kaduna Ltd issued 10,000 bond instruments with a face value of GH¢100 at a market price of GH¢95. Bond brokers charged fees totalling GH¢18,000 in relation to the bond issue. The bonds carry a coupon rate of 5% and are redeemable in 3 years at face value.

Kaduna Ltd wishes to account for the bonds using IFRS 9: Financial Instruments amortised cost method. However, there was some confusion about how the bonds should be accounted for. Currently, the cash received from the bond issue of GH¢950,000 has been recognised as a non-current liability. The broker fees of GH¢18,000 were deducted from the non-current liability carrying amount, the coupon payment of GH¢50,000 has been expensed in arriving at profit before tax, and the effective rate of interest is 7.62%.

Required:
Justify the necessary accounting treatment of the above transaction relating to Kaduna Ltd for the year ended 31 December 2018. (5 marks)

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FINANCIAL MANAGEMENT – MAY 2021 – L2 – Q1B – Discounted cash flow

Compute the effective annual interest rate and withdrawal amount for an investment account, and distinguish between annuity due and ordinary annuity.

Puma Beverages Plc currently operates a single processing plant in Tema. The company plans to install and run processing plants in four other regions in Ghana.

The Finance Manager has presented an investment and financing strategy for this expansion project to the Board of Directors for their study. The proposed investment strategy is that the company sets up the four processing plants in turns. Specifically, the company will install the first plant at the end of the fifth year from now, the second at the end of the sixth year from now, and the rest follow annually in that order.

The proposed financing strategy is that the company finances the expansion project with its retained earnings. To do this, the company should deposit GH¢100 million into an investment account today. The account will earn interest at an annual nominal interest rate of 16%, with monthly compounding through the account’s life. The company will withdraw even amounts from the account at the end of each year starting from the end of year five until the account is closed at the end of year eight (i.e., four withdrawals in all) to finance the installation of each of the four processing plants in line with the investment strategy.

Required:
i) Compute the effective annual interest rate on the investment account. (3 marks)
ii) Compute the even amount that should be withdrawn from the account at the end of each year from the fifth year to the eighth year such that the account balance reduces to zero upon the last withdrawal at the end of the eighth year. (5 marks)
iii) Distinguish between annuity due and ordinary annuity. (2 marks)

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