Rivera Inc. is considering the issuance of $500,000 face value, ten-year term bonds. The bonds will pay 10% interest each December 31. The current market rate is 10%; therefore, the bonds will be issued at face value. I need help calculating the issue price of the bonds given interest is paid annually but that the market rate of interest is 8%; the nominal rate is still 10%.

Financial Accounting: The Impact on Decision Makers
10th Edition
ISBN:9781305654174
Author:Gary A. Porter, Curtis L. Norton
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Chapter10: Long-term Liabilities
Section: Chapter Questions
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Rivera Inc. is considering the issuance of $500,000 face value, ten-year term bonds. The bonds will pay 10% interest each December 31. The current market rate is 10%; therefore, the bonds will be issued at face value.

I need help calculating the issue price of the bonds given interest is paid annually but that the market rate of interest is 8%; the nominal rate is still 10%.

Factors that Affect the Bond Issue Price
Rivera Inc. is considering the issuance of $500,000 face value, ten-year term bonds. The bonds will pay 10% interest each December 31.
The current market rate is 10%; therefore, the bonds will be issued at face value.
Required:
1. For each of the following situations, indicate whether you believe the company will receive a premium on the bonds or will issue them
at a discount or at face value.
a. Interest is paid semiannually instead of annually.
Face value v
b. Assume interest is paid annually but that the market rate of interest is 8%; the nominal rate is still 10%.
Premium
2. For each situation in part (1), prove your statement by determining the issue price of the bonds given the changes in (a) and (b). If
>
required, round all calculations to the nearest dollar.
Here are some time value of money factors:
Present value of an annuity, n=10, i=8%, PV=6.71008
Present value of an annuity, n=20, i=5%, PV=12.46221
Present value of a single amount, n=10, i=8%, PV=0.46319
Present value of a single amount, n=20, i=5%, PV=0.37689
Proof: Bond Price
а.
500,000
b.
Transcribed Image Text:Factors that Affect the Bond Issue Price Rivera Inc. is considering the issuance of $500,000 face value, ten-year term bonds. The bonds will pay 10% interest each December 31. The current market rate is 10%; therefore, the bonds will be issued at face value. Required: 1. For each of the following situations, indicate whether you believe the company will receive a premium on the bonds or will issue them at a discount or at face value. a. Interest is paid semiannually instead of annually. Face value v b. Assume interest is paid annually but that the market rate of interest is 8%; the nominal rate is still 10%. Premium 2. For each situation in part (1), prove your statement by determining the issue price of the bonds given the changes in (a) and (b). If > required, round all calculations to the nearest dollar. Here are some time value of money factors: Present value of an annuity, n=10, i=8%, PV=6.71008 Present value of an annuity, n=20, i=5%, PV=12.46221 Present value of a single amount, n=10, i=8%, PV=0.46319 Present value of a single amount, n=20, i=5%, PV=0.37689 Proof: Bond Price а. 500,000 b.
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