In: Finance
YIELD TO MATURITY
A firm's bonds have a maturity of 10 years with a $1,000 face value, have an 8% semiannual coupon, are callable in 5 years at $1,052, and currently sell at a price of $1,099.77.
a
| K = Nx2 |
| Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k] + Par value/(1 + YTM/2)^Nx2 |
| k=1 |
| K =10x2 |
| 1099.77 =∑ [(8*1000/200)/(1 + YTM/200)^k] + 1000/(1 + YTM/200)^10x2 |
| k=1 |
| YTM% = 6.62 |
| b |
| K = Time to callx2 |
| Bond Price =∑ [(Semi Annual Coupon)/(1 + YTC/2)^k] + Call Price/(1 + YTC/2)^Time to callx2 |
| k=1 |
| K =5x2 |
| 1099.77 =∑ [(8*1000/200)/(1 + YTC/200)^k] + 1052/(1 + YTC/200)^5x2 |
| k=1 |
| YTC% = 6.53 |