In: Finance
Stilley Resources bonds have 20 years left to maturity. Interest
is paid annually, and the bonds have a $1,000 par value and a
coupon rate of 21.5 percent.
Compute If the price of the bond is $1,330, what is the yield to
maturity? (Do not round intermediate calculations. Input
your answer as a percent rounded to 2 decimal places.)
Yield to maturity | % |
Par/Face value | 1000 | |||||||||||||||||||
Annual Coupon rate | 0.215 | |||||||||||||||||||
Annual coupon | 215 | |||||||||||||||||||
Present Value = Future value/ ((1+r)^t) | ||||||||||||||||||||
where r is the interest rate and t is the time period | ||||||||||||||||||||
price of the bond = sum of present values of future cash flows | ||||||||||||||||||||
Price of the bond | 1330 | |||||||||||||||||||
Use excel to find r | ||||||||||||||||||||
r | 0.1595 | |||||||||||||||||||
mt | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
future cash flow | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 215 | 1215 |
present value | 185.4248 | 159.9179 | 137.9197 | 118.9475 | 102.5852 | 88.47365 | 76.30328 | 65.80705 | 56.75468 | 48.94755 | 42.21436 | 36.40738 | 31.39921 | 27.07995 | 23.35485 | 20.14218 | 17.37143 | 14.98183 | 12.92094 | 62.97399 |
sum of present values | 1330 | |||||||||||||||||||
Yield to maturity | 15.95% |