In: Economics
You have a chance to buy a BB-rated Grandview, Inc. bond that has a face value of $1,000. The bond has a 7% coupon rate of interest and matures in six years. Interest is paid semi-annually. BB-rated bonds of similar maturity pay an interest rate of 8%. How much should you be willing to pay for the Grandview bond?
The value of a bond today is the sum of the present value of the interest payments (valued as an ordinary annuity) and the present value ( semi annualy) of the face value (discounted as a lump-sum):
Here, Face Value = $ 1000
Coupon Rate = 7%
Market Interest Rate = 8%
Maturity Period = 6 yrs
Thus putting all the values in the above mentioned formula we get
Answer : Bond Value = $ 953.07
Note : A BB rating reflects an opinion that that the issuer has the current capacity to meet its debt obligations but faces more solvency risk than an A-rated issue and less than a BBB-rated issue if business, financial, or economic conditions change measurably.