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Explain each of the key factors that the time value of money depends on.

Short Answer

Expert verified

The three key factors of the time value of money are principal, number of period and interest rate.

Step by step solution

01

Definition of the time value of money

The invested cash that earns interest over time is called the time value of money.

02

Key factor

The time value of money depends on three factors

  1. Principal: The principal is the invested or borrowed amount. The amount of principal is invested in a single payment or in annuity form.
  2. Number of periods: The number of periods is the duration of the investment from start to end of the investment. Return on the investment directly depends on the number of periods. If the number of periods is low then the rate of return is low and vice versa.
  3. Interest Rate: Interest is the percentage of the return earned on the interest. The interest rate can be calculated in days, weeks, months, or years. The interest rate is reflected by the number of periods.

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Most popular questions from this chapter

Determining the present value of bonds payable and journalizing using the effective-interest amortization method

Sleep Well, Inc. is authorized to issue 9%, 10-year bonds payable. On January 1, 2018, when the market interest rate is 10%, the company issues $500,000 of the bonds. 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 second payment of the semiannual interest amount and amortization of the bonds on June 30, 2018, and December 31, 2018. Explanations are not required.

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 Companyโ€™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

Companyโ€™s interest expense be for the first year?

What is an annuity?

What is the carrying amount of a bond?

Determining bond prices

Bond prices depend on the market rate of interest, stated rate of interest, and time.

Determine whether the following bonds payable will be issued at face value, at a

premium, or at a discount:

a. The market interest rate is 8%. Idaho issues bonds payable with a stated rate

of 7.75%.

b. Austin issued 9% bonds payable when the market interest rate was 8.25%.

c. Clevelandโ€™s Cars issued 10% bonds when the market interest rate was 10%.

d. Atlantaโ€™s Tourism issued bonds payable that pay the stated interest rate of 8.5%. At

issuance, the market interest rate was 10.25%.

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