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junior1391
04.08.2020 •
Business
Yan Yan Corp. has a $5,000 par value bond outstanding with a coupon rate of 4.6 percent paid semiannually and 21 years to maturity. The yield to maturity on this bond is 4.1 percent. What is the price of the bond?
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Ответ:
Price of the bond = $4,122.36
Explanation:
The value of the bond is the present value(PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV).
Value of Bond = PV of interest + PV of RV
The value of bond for Yan Yan Corp. be worked out as follows:
Step 1
PV of interest payments
Semi annul interest payment
= 4.6% × 5,000 × 1/2 = 115
Semi-annual yield = 4.1%/2 = 2.05 % per six months
Total period to maturity (in months) = (2 × 21) = 41 periods
PV of interest =
115 × (1- (1+0.0205)^(-21)/0.0205)=1,946.47
Step 2
PV of Redemption Value
= 5000 × (1.0205^(-41) = 2,175.89
Step 3:Price of the bond
Total present Value = 1,946.47 + 2,175.89 = 4,122.36
Price of the bond = $4,122.36
Ответ:
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Explanation: