UF issued a 20-year bond that pays a semi-annual coupon of $32.00, has a par value of $1,000, and a nominal annual yield-to-maturity of 7.639 percent. This bond can be called in 5 years, and the nominal annual yield-to-call is 10.32 percent. Determine the call premium for this bond.

Principles of Accounting Volume 1
19th Edition
ISBN:9781947172685
Author:OpenStax
Publisher:OpenStax
Chapter13: Long-term Liabilities
Section: Chapter Questions
Problem 3EB: Smashing Cantaloupes Inc. issued 5-year bonds with a par value of $35,000 and an 8% semiannual...
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UF issued a 20-year bond that pays a semi-annual coupon of $32.00, has a par value of $1,000, and
a nominal annual yield-to-maturity of 7.639 percent. This bond can be called in 5 years, and the
nominal annual yield-to-call is 10.32 percent. Determine the call premium for this bond.
O $30
O $40
O $70
$60
O $50
Transcribed Image Text:UF issued a 20-year bond that pays a semi-annual coupon of $32.00, has a par value of $1,000, and a nominal annual yield-to-maturity of 7.639 percent. This bond can be called in 5 years, and the nominal annual yield-to-call is 10.32 percent. Determine the call premium for this bond. O $30 O $40 O $70 $60 O $50
Expert Solution
Step 1

Calculation of current price:

Par value = $1000

Semi-annual coupon = $32

Annual YTM = 7.639%

Semi-annual YTM = 7.369 / 2 = 3.8195%

Time to maturity = 20 years

Semi-annual time = 20*2 = 40

Current Price = $32 * PVIFA(3.8195%, 40) + $1,000 * PVIF(3.8195%, 40)

Current Price = 32 * (1-(1.038195)-400.038195+1000(1.038195)40

                   = $874.0201

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