Answer:
$1072.99
Explanation:
We have the
Risk Free Rate to be = 4%
Also, the Default Premium on AA Rated Bonds is = 3%
We calculate the YTM on AA Rated Bond as 4% + 3% = 7%
Maturity years = 5
Face Value, fv is given as = $1000
Price of Bond without option = 0 + fv / (1 + YTM)^Years to Maturity
= 1000 / (1 + 0.07)⁵ = $712.99
Next we calculate the Value of Conversion Option:
The Number of Shares that can be converted into is 20
Price of conversion= Fv / No. of Shares
= 1000 / 20 = $50
We have that a call option with 5 years to maturity with a strike price of $50 has its worth to be $18, so the conversion option is also going to be $18.
Value of Conversion Option = 20 x 18 = $360
Next we get the Fair Value of Convertible Bond:
= 712.99 + 360 = $1072.99
Therefore the Fair Value of Convertible Bond would be $1072.99