Finding Dollar Duration

What is the (dollar) price change for a 1% increase in yield (in $) of a $100 bond that pays 10% coupon rate for 5 years, with a constant yield curve of 6%?


The answer is 4.55.

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2 solutions

Yanal Halawa
Apr 16, 2019

At 6% = $116.84 At 7% = $112.30

116.84 - 112.30 = $4.54

You simply find the value of the bond using the discount rate of 6%, Annual Payment of $10, Fair value of $100 and N of 5 Years. Then calculate again with same numbers but change the 6% to 7%.

Oh, I didn't understand the term constant yield curve. Now i followed it is a discount rate.

Winod DHAMNEKAR - 2 years, 1 month ago

Solution is correct, but answer key is not (I.e 4.67 somehow)

Dmitry Pochekuev - 1 year, 10 months ago

I obtained 4.54

Sam V - 1 year, 8 months ago

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Me too (4.55 if rounded to the second decimal position). I guess they have used some less accurate calculations.

Félix Pérez Haoñie - 1 year, 8 months ago

Thanks. I have updated the answer to 4.55.

Calvin Lin Staff - 1 year, 8 months ago

From the Wiki "Yield to Maturity":

Thanks. I have updated the answer to 4.55.

Calvin Lin Staff - 1 year, 8 months ago

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