A bond trader purchased each of the following bonds at a yield to maturity of $8\%.$ Immediately after she purchased the bonds, interest rates fell to $7\%.$ The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

Open spreadsheet

Interest Rate Sensitivity

Original yield to maturity at issue $8\mathrm{.}00\%$

Changed yield to maturity immediately after purchase $7\mathrm{.}00\%$

$10-$year, $10\%$ annual coupon bond $10-$year zero coupon bond

Maturity term, N $10$ Maturity term, N $10$

Coupon rate $10\mathrm{.}00\%$ Coupon rate $0\mathrm{.}00\%$

Par value, FV $$1,000\mathrm{.}00$ Par value, FV $$1,000\mathrm{.}00$

PMT PMT $$0\mathrm{.}00$

Original price at issue Original price at issue

Price with changed yield to maturity Price with changed yield to maturity

Percentage change Percentage change

Formulas Formulas

PMT #N$/$A

Original price at issue #N$/$A Original price at issue #N$/$A

Price with changed yield to maturity #N$/$A Price with changed yield to maturity #N$/$A

Percentage change #N$/$A Percentage change #N$/$A

$5-$year zero coupon bond $30-$year zero coupon bond

Maturity term, N $5$ Maturity term, N $30$

Coupon rate $0\mathrm{.}00\%$ Coupon rate $0\mathrm{.}00\%$

Par value, FV $$1,000\mathrm{.}00$ Par value, FV $$1,000\mathrm{.}00$

PMT $$0\mathrm{.}00$ PMT $$0\mathrm{.}00$

What is the percentage change in the price of each bond after the decline in interest rates? Assume annual coupons and annual compounding. Fill in the following table. Do not round intermediate calculations. Round your answers to two decimal places.

Price @ $8\%$ Price @ $7\%$ Percentage Change

$10-$year, $10\%$ annual coupon $ fill in the blank $2$ $ fill in the blank $3$ fill in the blank $4\%$

$10-$year zero fill in the blank $5$ fill in the blank $6$ fill in the blank $7\%$

$5-$year zero fill in the blank $8$ fill in the blank $9$ fill in the blank $10\%$

$30-$year zero fill in the blank $11$ fill in the blank $12$ fill in the blank $13\%$

$$100$ perpetuity fill in the blank $14$