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Reading 66: Introduction to the Measurement of Interest Rate

LOS a: Distinguish between the full valuation approach (the scenario analysis approach) and the duration/convexity approach for measuring interest rate risk and explain the advantage of using the full valuation approach.

Which of the following approaches in measuring interest rate risk is most accurate when properly performed?

A)

Full Valuation approach.

B)

Duration approach.

C)

Duration/convexity approach.




The most accurate approach method for measuring interest rate risk is the so-called full valuation approach. Essentially this boils down to the following four steps: (1) begin with the current market yield and price, (2) estimate hypothetical changes in required yields, (3) recompute bond prices using the new required yields, and (4) compare the resulting price changes. Duration and convexity are summary measures and sacrifice some accuracy.

Holding other factors constant, the interest rate risk of a coupon bond is higher when the bond's:

A)

current yield is higher.

B)

yield to maturity is lower.

C)

coupon rate is higher.




There are three features that determine the magnitude of the bond price volatility:

  1. The lower the coupon, the greater the bond price volatility.
  2. The longer the term to maturity, the greater the price volatility.
  3. The lower the initial yield, the greater the price volatility.

In this case the only determinant that will cause a higher interest rate risk is having a low yield to maturity (initial yield). A higher coupon yield and a higher current yield will cause for lower interest rate risk.

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Which of the following steps is NOT used in the full valuation approach in measuring interest rate risk?

A)

Compare resulting price changes.

B)

Estimate hypothetical changes in required yields.

C)

Calculate the bond's convexity.




The most straightforward approach method for measuring interest rate risk is the so-called full valuation approach. Essentially this boils down to the following four steps: (1) begin with the current market yield and price, (2) estimate hypothetical changes in required yields, (3) recompute bond prices using the new required yields, and (4) compare the resulting price changes.

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