Interest rate risk

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Mar 14, 2009
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I am having problems with understanding this problem as I had to miss my class due to sickness and do not have a formula to help work my way through this. I am hoping there is someone out there that can help me, it would be greatly appreicated.

Bond J is a 5% coupon bond. Bond K is an 11% coupon bond. Both bonds have 8 years to maturity, make semiannual payments, and have a YTM of 7%. If interest rates suddenly rise by 2% , what is the percentage price change of these bonds? What if the rate suddenly fall by 2% instead? What does this problem tell us aboutthe interest rate risk of lower-coupon bonds?
 
As example, a $1000 5% coupon bond with 8 years to maturity means these cash flows:
$25 every 6 month for 8 years, and $1000 at end of 8th year;
can you calculate its present value using rate of 7% ?
 
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