Your grandfather would like to share some of his fortune with you. He offers to give

you money under one of the following scenarios (you get to choose):

1. \(8,750 per year at the end of each of the next six years

2. \)49,650 (lump sum) now

3. $100,450 (lump sum) six years from now

C H A P T E R 1 2

Requirements

1. Calculate the present value of each scenario using a 6% discount rate. Which scenario

yields the highest present value? Round to the nearest dollar.

2. Would your preference change if you used a 12% discount rate?

Short Answer

Expert verified

Present value of scenario 1,2 and 3 are $54,336, $49650 and $63,108. Scenario 3 has highest yield among all scenarios.

Step by step solution

01

Definition of present value

The current value calculated by using the specified formula for the amount invested by the investor in future date.

02

calculation of present value

1.Present value:

Present Value= Principal Amount× PV factor i=6%, n= 8=$8,750× 6.20979=$54,336

2.Present Value of this scenario is $49,650

3.Present Value:

Present Value= Principal Amount× PV factor i=6%, n= 8=$100,650×  0.627=$63,108

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Most popular questions from this chapter

What type of account is Premium on Bonds Payable? What is its normal balance? Is it added to or subtracted from the Bonds Payable account to determine the carrying amount?

Bill and Edna had been married two years and had just reached the point where they

had enough savings to start investing. Bill’s uncle Dave told them that he had recently

inherited some very rare railroad bonds from his grandmother’s estate. He wanted

to help Bill and Edna get a start in the world and would sell them 50 of the bonds at

\(100 each. The bonds were dated 1873, beautifully engraved, showing a face value of

\)1,000 each. Uncle Dave pointed out that “United States of America” was printed

prominently at the top and that the U.S. government had established a sinking fund to

retire the old railroad bonds. A sinking fund is a fund established for the purpose of

repaying the debt. It allows the organization (the U.S. government, in this example)

to set aside money over time to retire the bonds. All Bill and Edna needed to do was

hold on to them until the government contacted them, and they would eventually get

the full \(1,000 for each bond. Bill and Edna were overjoyed—until a year later when

they saw the exact same bonds for sale at a coin and stamp shop priced as “collectors’

items” for \)9.95 each!

Requirements

1. If a company goes bankrupt, what happens to the bonds it issued and the investorswho bought the bonds?

2. When investing in bonds, how can you tell whether the bond issue is a legitimatetransaction?

3. Is there a way to determine the relative risk of corporate bonds?

On January 1, 2018, when the market interest rate is 6%, Hawkins Corporation issues \(200,000 of 8%, five-year bonds payable. The bond pay interest semianually. Hawkins Corporation recieved \)217,040 in cash at issuance. Assume interest payment dates are June 30 and December 31. Prepare an effective-intesret amortization method amortization table for the first two semiannual interest periods.

Journalizing bond transactions including retirement at maturity

McQueen Company issued a $100,000, 7.5%, 10-year bond payable. Journalize

the following

transactions for McQueen Company, and include an explanation for each

entry:

a. Issuance of the bond payable at face value on January 1, 2018.

b. Payment of semiannual cash interest on July 1, 2018.

c. Payment of the bond payable at maturity, assuming the last interest

payment had

already been recorded. (Give the date.)

Analyzing and journalizing bond transactions

On January 1, 2018, Educators Credit Union (ECU) issued 8%, 20-year bonds payablewith face value of $1,000,000. These bonds pay interest on June 30 and December 31.The issue price of the bonds is 109.Journalize the following bond transactions:

a. Issuance of the bonds on January 1, 2018.

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

c. Payment of interest and amortization on December 31, 2018.

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

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