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Bond J has a coupon rate of 4.6 percent. Bond S has a coupon rate of 14.6 percen

ID: 2740255 • Letter: B

Question

Bond J has a coupon rate of 4.6 percent. Bond S has a coupon rate of 14.6 percent. Both bonds have nine years to maturity, make semiannual payments, and have a YTM of 10.2 percent.

If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places (e.g., 32.16).)

Bond J:

Bond S:

If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).)

Bond J:

Bond S:

Requirement 1:

If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places (e.g., 32.16).)

Bond J:

Bond S:

Requirement 2:

If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).)

Bond J:

Bond S:

Explanation / Answer

Requirement 1:

Bond J:

Value of the bond J is $675/-

If interest rate increased by 2%, percentage change in the value of the bond is

Value of the bond is $ 791

Changes in the bond is $116 ($791 -$675)

Percentage change = $116 / $791 *100 = 14.66%

Bond S:

Value of the bond J is $1255/-

If interest rate increased by 2%, percentage change in the value of the bond is

Value of the bond is $ 1,371

Changes in the bond is $116 ($1,371 -$1,255)

Percentage change = $116 / $1,371 *100 = 8.46%

Requirement 2:

Bond J:

Value of the bond J is $675/-

If interest rate decreased by 2%, percentage change in the value of the bond is

Value of the bond is $ 559

Changes in the bond is $116 ($559 -$675)

Percentage change = -$116 / $559 *100 = -20.75%

Bond S:

Value of the bond J is $1255/-

If interest rate decreased by 2%, percentage change in the value of the bond is

Value of the bond is $ 1,139

Changes in the bond is -$116 ($1,139 -$1,255)

Percentage change = -$116 / $1,139 *100 = -10.18%