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777dan777 [17]
3 years ago
5

A company issues a​ ten-year bond at par with a coupon rate of 6.4​% paid​ semi-annually. The YTM at the beginning of the third

year of the bond​ (8 years left to​ maturity) is 9.1​%. What is the new price of the​ bond?
Business
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

\mathbf{current  \ price \  of \  the \ bond=  \$848.78}

Explanation:

The current price of the bond can be calculated by using the formula:

current  \ price \  of \  the \ bond= ( coupon \times  \dfrac{ (1- \dfrac{1}{(1+YTM)^{no \ of \ period }})}{YTM} + \dfrac{Face \ Value }{(1+YTM ) ^{no \ of \ period}}

current  \ price \  of \  the \ bond= ( \dfrac{0.064 \times \$1000}{2} \times  \dfrac{ (1- \dfrac{1}{(1+ \dfrac{0.091}{2})^{8 \times 2}})}{\dfrac{0.091}{2}} + \dfrac{\$1000 }{(1+\dfrac{0.091}{2} ) ^{8 \times 2}})

current  \ price \  of \  the \ bond=  \$32 \times $11.19 + \$490.70

current  \ price \  of \  the \ bond=  \$358.08+ \$490.70

\mathbf{current  \ price \  of \  the \ bond=  \$848.78}

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