In: Finance
A bond has a par value of $1,000, a time to maturity of 10 years, and a coupon rate of 8.70% with interest paid annually. If the current market price is $870, what will be the approximate capital gain of this bond over the next year if its yield to maturity remains unchanged? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
Capital gain | $ |
Nper | Time to maturity in years | 10 | ||||||||
Pmt | Annual coupon payment=1000*8.7% | $87.00 | ||||||||
Pv | Current market price | $870 | ||||||||
Fv | Payment at maturity | $1,000 | ||||||||
RATE | Yield to maturity | 10.90% | (Using RATE function of excel with Nper=10, Pmt=87,Pv=-870, Fv=1000) | |||||||
MARKET PRICE AFTER ONE YEAR | ||||||||||
Market Price =Present Value of future cash flows discounted at yield Rate | ||||||||||
Nper | Time to maturity in years | 9 | ||||||||
Pmt | Annual coupon payment=1000*8.7% | $87.00 | ||||||||
Rate | Yield to maturity | 10.90% | ||||||||
Fv | Payment at maturity | $1,000 | ||||||||
Pv | Market Price after one year | $877.81 | (Using Pv function of excel withRate=10.90%, Nper=9, Pmt=-87, Fv=-1000) | |||||||
Capital Gain | $7.81 | (877.81-870) | ||||||||