Question

In: Finance

A firm issues $1000 face value bonds, with an 8.5% annual coupon. The bonds have 20...

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

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Expert Solution

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

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