Talmart Corporation bonds have a $1,000 face value and will mature in 4 years. The bonds have a 7% coupon rate. Interest is paid annually, and the required rate of return is 6 percent for these bonds. A 12-year, 8 percent bond with a YTM of 12 percent has a Macaulay duration of 9.5 years. If interest rates decline by 50 basis points, what will be the percent change in price for this bond? +4.48% +4.61% +8.48% +8.96% +17.92%

agrarismoN07

agrarismoN07

Answered question

2022-12-02

Talmart Corporation bonds have a $1,000 face value and will mature in 4 years. The bonds have a 7% coupon rate. Interest is paid annually, and the required rate of return is 6 percent for these bonds. A 12-year, 8 percent bond with a YTM of 12 percent has a Macaulay duration of 9.5 years. If interest rates decline by 50 basis points, what will be the percent change in price for this bond?
a. +4.48%
b. +4.61%
c. +8.48%
d. +8.96%
e. +17.92%

Answer & Explanation

Jimmy Sandoval

Jimmy Sandoval

Beginner2022-12-03Added 9 answers

M o d i f i e d   d u r a t i o n   = D u r a t i o n ( 1 + 47 m ) = 9.5 1.06 = 8.96%
Every 1% change in ytm, price of bond changes by 8.96% in opposite direction
So for 0.5% fall in interest rates, price of bond increases by 8.96 × 0.5 = 4.48%

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