Cornerstone

Fixed Income

CFA® Level I, published weight 11–14%. Pricing, yield measures, duration, convexity, credit spreads.

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Sample questions

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Question 1

A bond with a modified duration of 7.2 is held when yields rise by 40 basis points. Using duration alone, the estimated percentage price change is closest to:

ModDur = 7.2 · Δy = +0.40%

A. −2.88%
B. −0.29%
C. +2.88%
D. −7.20%

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A. −ModDur × Δy = −7.2 × 0.0040 = −2.88%. The sign is negative because yields rose; convexity would make the true loss slightly smaller.

Reading: Fixed Income — Yield-Based Bond Duration Measures, LOS 11.c

Question 2

A bond pays a 6% annual coupon while the market yield on comparable bonds is 4.5%. The bond most likely trades at:

A. A discount to par
B. Par value
C. A premium to par
D. A price that cannot be determined

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C. When the coupon rate exceeds the required yield, the cash flows are richer than the market demands, so the price is bid above par.

Reading: Fixed Income — Bond Valuation: Prices and Yields, LOS 6.b

Question 3

Compared with a duration-only estimate, adding a positive convexity adjustment for a large yield increase will:

A. Lower the estimated price
B. Raise the estimated price
C. Leave the estimate unchanged
D. Reverse the sign of the estimate

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B. Positive convexity means the true price–yield curve lies above the tangent line, so the convexity term is additive for moves in either direction.

Reading: Fixed Income — Yield-Based Bond Convexity, LOS 12.b

Question 4

Spread duration measures the sensitivity of a corporate bond’s price to a change in:

A. The benchmark government yield
B. The credit spread only
C. Both the benchmark and the spread
D. The realised default frequency

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B. Spread duration isolates the credit spread component, holding the benchmark curve fixed. Effective duration captures the benchmark move.

Reading: Fixed Income — Credit Risk, LOS 14.b

Question 5

Which statement about Macaulay and modified duration is correct?

A. Modified duration always exceeds Macaulay duration
B. They are always equal
C. Macaulay duration divided by (1 + periodic yield) gives modified duration
D. Macaulay duration is measured in percent

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C. ModDur = MacDur / (1 + periodic yield), so modified duration is always slightly smaller. Macaulay duration is expressed in years.

Reading: Fixed Income — Yield-Based Bond Duration Measures, LOS 11.a

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