S12A-13 Determining present value

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

No, the preference cannot be changed because in 12% present value is not high as compare to 6%.

Step by step solution

01

Definition of present value

Present value is basic tool of the finance that state that the amount invested in present have the more value than the amount invested in future.

02

calculation of present value

  1. Present value:

Present Value= Principal Amount× PV factor i=12%, n= 8=$8,750×  4.96764=$43,4667

2. Present Value is $49,650

3. Present Value:

Present Value= Principal Amount× PV factor i=12%, n= 8=$100,650×  0.40388=$40,651

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Most popular questions from this chapter

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.

Determining bond prices and interest expense

Jones Company is planning to issue $490,000 of 9%, five-year bonds payable to

borrow for a major expansion. The owner, Shane Jones, asks your advice on some

related matters.

Requirements

1. Answer the following questions:

a. At what type of bond price Jones Company will have total interest expense

equal to the cash interest payments?

b. Under which type of bond price will Jones Company’s total interest expense be

greater than the cash interest payments?

c. If the market interest rate is 12%, what type of bond price can Jones Company

expect for the bonds?

2. Compute the price of the bonds if the bonds are issued at 89.

3. How much will Jones Company pay in interest each year? How much will Jones

Company’s interest expense be for the first year?

Journalizing liability transactions and reporting them on the balance

sheet

The following transactions of Johnson Pharmacies occurred during 2018 and 2019:

2018

Mar. 1 Borrowed \(450,000 from Coconut Creek Bank. The 15-year, 5% note requires

payments due annually, on March 1. Each payment consists of \)30,000 principal

plus one year’s interest.

Dec. 1 Mortgaged the warehouse for \(250,000 cash with Saputo Bank. The mortgage

requires monthly payments of \)8,000. The interest rate on the note is 12% and

accrues monthly. The first payment is due on January 1, 2019.

31 Recorded interest accrued on the Saputo Bank note.

31 Recorded interest accrued on the Coconut Creek Bank note.

2019

Jan. 1 Paid Saputo Bank monthly mortgage payment.

Feb. 1 Paid Saputo Bank monthly mortgage payment.

Mar. 1 Paid Saputo Bank monthly mortgage payment.

1 Paid first installment on note due to Coconut Creek Bank.

Requirements

1. Journalize the transactions in the Johnson Pharmacies general journal. Round to

the nearest dollar. Explanations are not required.

2. Prepare the liabilities section of the balance sheet for Johnson Pharmacies on

March 1, 2019 after all the journal entries are recorded.

What is an annuity?

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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