In: Finance
The Pioneer Petroleum Corporation has a bond outstanding with an
$90 annual interest payment, a market price of $910, and a maturity
date in five years. Assume the par value of the bond is
$1,000.
Find the following: (Use the approximation formula to
compute the approximate yield to maturity and use the calculator
method to compute the exact yield to maturity. Do not round
intermediate calculations. Input your answers as a percent rounded
to 2 decimal places.)
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a.
Coupon rate = Annual interest / Face value
Coupon rate = $90 / $1000
Coupon rate = 9.00%.
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b.
Current yield = Annual interest / Current Price
Current yield = $90/ $910
Current yield = 9.89%.
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c.
Approximate YTM=(Annual interest+((Face value - current price)/No. years)/(Face value + Current price)/No. years
Approximate YTM = (90+((1000-910)/5) / ((1000+910)/5)
Approximate YTM =(90 +18) /955
Approximate YTM = 11.31%.
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d.
Calculate the Exact YTM as follows:
Therefore, the exact YTM is 11.46%.