Question: Please show formulas in excel A five-year bond with a yield of 11% (continuously compounded) pays an 8% coupon at the end of each year.
| Please show formulas in excel A five-year bond with a yield of 11% (continuously compounded) pays an 8% coupon at the end of each year. | ||||||
| Yield-to-maturity of the bond | 11% | |||||
| Time to maturity of contract (years) | 5 | |||||
| Annual coupon rate (%) | 8% | |||||
| Face value of the bond | $1,000 | |||||
| Time (years) | Cash flows ($) | Discount factor | PV of cash flows ($) | Weight | Time x Weight | |
| 1 | $80 | |||||
| 2 | $80 | |||||
| 3 | $80 | |||||
| 4 | $80 | |||||
| 5 | $1,080 | |||||
| Total | $0.00 | 0.000 | 0.000 | |||
| Calculate the discount factor for each year, the present value of each cash flow, the corresponding weight, and the Time x Weight. | ||||||
| What is the bond's price? | ||||||
| What is the bond's duration? | ||||||
| Assume that interest rates in the market change, and the bond's yield decreases by 0.2%. | ||||||
| Change in the bond's yield | -0.2% | |||||
| What is the effect on the bond's price of the decrease in its yield if you use the duration approximation for the change in price? | ||||||
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