Determining future value

David is entering high school and is determined to save money for college. David feels

he can save $5,000 each year for the next four years from his part-time job. If David is

able to invest at 6%, how much will he have when he starts college?

Short Answer

Expert verified

David will have $21,875 when he starts college.

Step by step solution

01

Definition of future value

The future value is the valuation of the current investment at future date.

02

Calculation of future value

FutureValue=Period  Payments×Futurevalueofordinaryannuityof$1=$5,000×4.375=$21,875

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Most popular questions from this chapter

Analyzing, journalizing, and reporting bond transactions

Danny’s Hamburgers issued 6%, 10-year bonds payable at 90 on December 31, 2018.

At December 31, 2020, Danny reported the bonds payable as follows:

Long-term Liabilities:

Bonds Payable \( 600,000

Less: Discount on Bonds Payable (48,000) \) 552,000

Danny’s pays semiannual interest each June 30 and December 31.

Requirements

1. Answer the following questions about Danny’s bonds payable:

a. What is the maturity value of the bonds?

b. What is the carrying amount of the bonds at December 31, 2020?

c. What is the semiannual cash interest payment on the bonds?

d. How much interest expense should the company record each year?

2. Record the June 30, 2020, semiannual interest payment and amortization of

discount.

Determining the present value of bonds payable and journalizing

using the effective-interest amortization method

Brad Nelson, Inc. issued $600,000 of 7%, six-year bonds payable on January 1, 2018.

The market interest rate at the date of issuance was 6%, and the bonds pay interest

semiannually.

Requirements

1. How much cash did the company receive upon issuance of the bonds payable?(Round to the nearest dollar.)

2. Prepare an amortization table for the bond using the effective-interest method,through the first two interest payments (Round to the nearest dollar.)

3. Journalize the issuance of the bonds on January 1, 2018, and the first and secondpayments of the semiannual interest amount and amortization of the bonds onJune 30, 2018, and December 31, 2018. Explanations are not required.

Analyzing and journalizing bond transactions

On January 1, 2018, Nurses Credit Union (NCU) issued 8%, 20-year bonds payablewith face value of $600,000. The bonds pay interest on June 30 and December 31.

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1. If the market interest rate is 7% when NCU issues its bonds, will the bonds bepriced at face value, at a premium, or at a discount? Explain.

2. If the market interest rate is 9% when NCU issues its bonds, will the bonds bepriced at face value, at a premium, or at a discount? Explain.

3. The issue price of the bonds is 92. Journalize the following bond transactions:

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b. Payment of interest and amortization on June 30, 2018.

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d. Retirement of the bond at maturity on December 31, 2037, assuming the lastinterest payment has already beenrecorded.

Reporting liabilities on the balance sheet and computing debt toequity ratio

The accounting records of Compass Wireless include the following as of December31, 2018:

Accounts Payable \( 74,000 Salaries Payable \) 7,500

Mortgages Payable (long-term) 80,000 Bonds Payable (current portion) 25,000

Interest Payable 21,000 Premium on Bonds Payable 13,000

Bonds Payable (long-term) 63,000 Unearned Revenue (short-term) 2,700

Total Stockholders’ Equity 145,000

Requirements

1. Report these liabilities on the Compass Wireless balance sheet, including headingsand totals for current liabilities and long-term liabilities.

2. Compute Compass Wireless’s debt to equity ratio at December 31, 2018.

Determining the present value of bonds payable and journalizingusing the effective-interest amortization methodBrad Nelson, Inc. issued \(600,000 of 7%, six-year bonds payable on January 1, 2018.

The market interest rate at the date of issuance was 6%, and the bonds pay interestsemiannually.

Learning Objectives 2, 3, 4

3. June 30, 2018, InterestExpense \)25,200

Learning Objectives 2, 3, 4

June 30, 2018, Interest Expense$37,750

C H A P T E R 1 2

Requirements

1. How much cash did the company receive upon issuance of the bonds payable?(Round to the nearest dollar.)

2. Prepare an amortization table for the bond using the effective-interest method,through the first two interest payments (Round to the nearest dollar.)

3. Journalize the issuance of the bonds on January 1, 2018, and the first and secondpayments of the semiannual interest amount and amortization of the bonds onJune 30, 2018, and December 31, 2018. Explanations are not required.

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