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"Fixed Income":Convexity effect
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Questions 1:
The value of a 10-year, 6% coupon, $100 par value bond with semiannual payments, assuming an annual discount rate of 7%, is closest to:
A 、$99.07.
B 、$92.89.
C 、$107.44.
Questions 2:
The option-free bonds of Argus Corporation have a duration of eight years. When interest rates rise by 100 bps, the bond’s price declines by 7.9%. When interest rates fall by 100 bps, however, the price rises by 8.2%. The asymmetrical price change is most likely caused by the:
A 、coupon effect.
B 、maturity effect.
C、 convexity effect.
View answer resolution
【Answer to question 1】B
【analysis】
B is correct. A security with 19 semiannual payments of $3 interest and a 20th payment of $103 (interest plus return of face value) with a semiannual discount rate of 3.5% is computed as:
A is incorrect because it is equal to $106/1.07.
C is incorrect because it reverses the coupon rate and the discount rate.
【Answer to question 2】C
【analysis】
C is correct. A fall in interest rates will result in a higher percentage rise in the bond’s price compared with the percentage fall in the bond’s price when interest rates rise by the same amount.
A is incorrect because the coupon effect relates to the sensitivity of bond price changes to changes in the coupon rate.
B is incorrect because the maturity effect relates to the sensitivity of bond price changes to the time to maturity.
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