In: Finance
A firm issues $1000 face value bonds, with an 8.5% annual coupon. The bonds have 20 years to maturity and are currently selling with a 7% YTM. The firm is in the 34% tax bracket. What is the price of the bond.
1158.91
845.50
Need more information
1000
Value of a Bond : | Present Value of all future receipts . | ||||||
Presuming Bond income is Tax Free | |||||||
Face Value of Bond | $1,000 | ||||||
Period | 20 Years | ||||||
Coupon Rate | 8.50% | ||||||
Interest | $85 | ||||||
Discount Rate (YTM) | 7% | ||||||
To Calculate the Present Value we need to discount all the future receipts at discount rate of 7% i.e YTM | |||||||
Present Value of Interest: | Sum of {( $85 / (1+.07)^1 + $85 / (1+.07)^2 …………….+ $85 / (1+.07)^20)} = | ||||||
Value | $900.49 | ||||||
Present Value of Maturity Amount | $1000 /(1 + 0.07) ^ 20 = $258.42 | ||||||
Total Present Value of all Future Receipts | $900.49 + $258.42 = $1158.91 | ||||||
So the price of Bond will be $1158.91 |