1. Jackson Corporation's bonds have 5 years remaining to maturity. Interest is paid annually, the bonds have a $1,000 par value, and the coupon interest rate is 9.5%. The bonds have a yield to maturity of 10%. What is the current market price of these bonds? Round your answer to the nearest cent.
2. Heath Food Corporation’s bonds have 22 years remaining to maturity. The bonds have a face value of $1,000 and a yield to maturity of 7%. They pay interest annually and have a 8% coupon rate. What is their current yield? Round your answer to two decimal places.
Bond Valuation: The value of bond is the present value of the expected cashflows from the bond,discounted at Yield to Maturity(YTM).
Question 1
Year | Cash flow ($) | PVF @10% | Present Value(Cash flow*PVF) |
1 | 95 | 0.909 | 86.36 |
2 | 95 | 0.826 | 78.47 |
3 | 95 | 0.751 | 71.35 |
4 | 95 | 0.683 | 64.89 |
5 | 1095 | 0.621 | 680.00 |
Current Market Price of Bonds = $981.07 (86.36+78.47+71.35+64.89+680)
Question 2
Step 1: Calculation of Current market price
Year | Cash flow ($) | PVF/PVAF @7% | Present Value(Cash flow*PVF/PVAF) |
1-22 | 80 | 11.0612 | 884.90 |
22 | 1000 | 0.2257 | 225.70 |
Current Market Price of Bonds = $1110.60 (884.90+225.70)
Step 2: Calculation of Current Yield
Current Yield can be calculated as
(Interest / Current market price) *100
(80 / 1110.60) *100
7.20 %
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