Question

Both Bond Sam and Bond Dave have 8 percent coupons, make semiannual payments, and are priced at par value. Bond Sam has 3 years to maturity, whereas Bond Dave has 18 years to maturity. If interest rates suddenly rise by 5 percent, what is the percentage change in the price of Bond Sam

Answer 1

Answer: -12.1%

Explanation:

Bond Sam was priced at Par which means it could have been priced at $1,000 and its yield was the same as the coupon rate of 8%.

If interest rates rise by 5%, the yield becomes:

= 8% + 5%

= 13%

Price of bond is attached:

Yield = 13% /2 = 6.5% per semiannual period

Coupon = 8% * 1,000 * 0.5 = $40 per semi annual period

Period till maturity = 3 * 2 = 6 semiannual periods

Price = $878.97

Percentage change in price:

= (878.97 - 1,000) / 1,000 * 100%

= -12.1%