Question

** Please show work or explain If interest rates fall from 8 percent to 7 percent,...

** Please show work or explain

If interest rates fall from 8 percent to 7 percent, which of the following bonds will have the largest percentage increase in its value? (If you are uncertain, do the examples yourself before answering!)

a. A bond with 10 years to maturity, and a coupon rate of ZERO percent.

b. A bond with 10 years to maturity, and a coupon rate of TEN percent.

c. A bond with 5 years to maturity, and a coupon rate of ZERO percent.

d. A bond with 5 years to maturity, and a coupon rate of TWELVE percent.

e. None of these. If rates fall from 8 percent to 7 percent, the value of existing bonds will decrease in value, not increase.

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Answer #1

Answer is option A according to the working given below:

Since 10 year zero coupon bond has the maximum change hence answer is "A bond with 10 years to maturity, and a coupon rate of ZERO percent."

n PMT r=8% r=7% %change
10 0 ₹ -463.19 ₹ -508.35 9.748799
10 100 ₹ -1,134.20 ₹ -1,210.71 6.745345
5 0 ₹ -680.58 ₹ -712.99 4.761061
5 120 ₹ -1,159.71 ₹ -1,205.01 3.906281
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