Even though most corporate bonds in the United States make coupon payments semia

Question

Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. Suppose a German company issues a bond with a par value of 1,000, 25 years to maturity, and a coupon rate of 7.9 percent paid annually. If the yield to maturity is 9.0 percent, what is the current price of the bond? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16)) Current price The Lo Sun Corporation offers a 6.3 percent bond with a current market price of $767.50. The yield to maturity is 8.49 percent. The face value is $1,000. Interest is paid semiannually. How many years is it until this bond matures? You purchase a bond with an invoice price of $1042. The bond has a coupon rate of 6.0 percent, and there are four months to the next semiannual coupon date. What is the clean price of the bond? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16)) Clean price $ A Japanese company has a bond outstanding that sells for 86 percent of its 100,000 par value. The bond has a coupon rate of 4.50 percent paid annually and matures in 16 years. What is the yield to maturity of this bond? (Round your answer to 2 decimal places. (e.g., 32.16)) Yield to maturity 5.87 %

Explanation / Answer

Hi,

Please find the detailed answer as follows:

Part 1:

Nper = 25 (indicates the period)

PV = ? (indicates the price)

FV = 1000 (indicates the face value)

Rate =7.9% (indicates YTM)

PMT = 1000*9% = 90 (indicates the amount of interest payment)

Current Price of the Bond = PV(Rate,Nper,PMT,FV) = PV(7.9%,25,90,1000) = $1118.43

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Part B:

Nper = ? (indicates the period)

PV = 767.50 (indicates the price)

FV = 1000 (indicates the face value)

Rate = 8.49%/2 (indicates semi-annual YTM)

PMT = 1000*6.30%*1/2 = 31.50 (indicates the amount of interest payment)

Period = Nper(Rate,PMT,PV,FV)/2 = Nper(8.49%/2,31.50,-767.50,1000)/2 = 27.85 Years

Thanks.

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