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The duration of a twenty year, 6 percent coupon bond when the interest rate is 7.80...

The duration of a twenty year, 6 percent coupon bond when the interest rate is 7.80 years. What happens to the price of the bond if the interest rates rises to 8%?

it rises 15.6%

it rises 14.7%

it falls 15.6%

it falls 14.7%

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Answer #1

% change in Price = -Duration x % change in yield

a). % change in Price = -7.80 x 8% = -62.40%

b). % change in Price = -7.80 x 15.6% = -121.68%

c). % change in Price = -7.80 x 14.7% = -114.66%

d). % change in Price = -7.80 x (-15.6%) = 121.68%

e). % change in Price = -7.80 x (-14.7%) = 114.66%

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