The following questions are from past CFA examinations.

a. A 6% coupon bond paying interest annually has a modified duration of 10 years, sells for $800, and is priced at a yield to maturity of 8%. If the YTM increases to 9%, the predicted change in price, using the duration concept, decreases by:

i. $76.56.

ii. $76.92.

iii. $77.67.

iv. $80.00.

b. A6% coupon bond with semiannual coupons has a convexity (in years) of 120, sells for 80% of par, and is priced at a yield to maturity of 8%. If the YTM increases to 9.5%, the predicted contribution to the percentage change in price, due to convexity, would be:

i. 1.08%.

ii. 1.35%.

iii. 2.48%.

iv. 7.35%.

c. Which statement is true for the Macaulay duration of a zero-coupon bond? The Macaulay duration of a zero-coupon bond:

i. Is equal to the bond's maturity in years.

ii. Is equal to one-half the bond's maturity in years.

iii. Is equal to the bond's maturity in years divided by its yield to maturity.

iv. Cannot be calculated because of the lack of coupons.

d. A bond with annual coupon payments has a coupon rate of 8%, yield to maturity of 10%, and Macaulay duration of 9. The bond's modified duration is:

i. 8.18.

ii. 8.33.

iii. 9.78.

iv. 10.00.

e. The interest rate risk of a bond normally is:

i. Greater for shorter maturities.

ii. Lower for longer duration.

iii. Lower for higher coupons.

iv. None of the above.

f. When interest rates decline, the duration of a 30-year bond selling at a premium:

i. Increases.

ii. Decreases.

iii. Remains the same.

iv. Increases at first, then declines.

g. If a bond manager swaps a bond for one that is identical in terms of coupon rate, maturity, and credit quality but offers a higher yield to maturity, the swap is:

i. A substitution swap.

ii. An interest rate anticipation swap.

iii. A tax swap.

iv. An intermarket spread swap.

h. Which bond has the longest duration?

i. 8-year maturity, 6% coupon.

ii. 8-year maturity, 11% coupon.

iii. 15-year maturity, 6% coupon.

iv. 15-year maturity, 11% coupon.