medium · Certified Financial Planner General Principles

The Varela family is looking for an investment to perfectly immunize a $2,000,000 liability due in exactly 8 years. They are considering a zero-coupon bond with a 10-year maturity and a zero-coupon bond with an 8-year maturity.

Which bond is the better instrument for immunization, and why?

  1. The 8-year zero-coupon bond, because its effective duration is linear while the 10-year bond's duration is curved. under the facts given in the stem
  2. Neither, because immunization requires a portfolio of coupon-bearing bonds to ensure cash flow for reinvestment.
  3. The 10-year zero-coupon bond, because its higher convexity provides a 'cushion' against interest rate drops.
  4. The 8-year zero-coupon bond, because its Macaulay Duration is exactly equal to its maturity, providing a precise match for the liability.

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