Layla bought a 10% coupon bond for $1000. The current yield on her bond is 10% as well and the interest rate is 10%. The bond matures in 4 years time . Layla sells the bond after holding it for 2 years at the end of the 2nd year. The interest rate in the 4th year increases to 25% and remains until maturity. What is the price that Layla sold the coupon bond at?
Price of the bond at year 2 = PV of coupon received at year 3 + PV of coupon received at year 4 + PV of the face value received at year 4
PV at time 0 = Cash flow received at time n / ((1+r)^n)
We need to discount all the cash flows to year 2.
We will use different interest rates to discount the cash flows at year 3 and year 4.
Years | Discounting period | Cash Flows | Discounting rate | PV |
3 | 1 | 100 | 10% | 90.90909 |
4 | 2 | 1100 | 25% | 704 |
Price of the bond | 794.9091 |
Layla sold the coupon bond at $794.9091
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