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NISM Certifications · NISM-Series-XXI-A: Portfolio Management Services (PMS) Distributors · Investing in Fixed Income Securities (NISM XXI-A)

A 3-year bond of face value ₹100 pays a 9% annual coupon. A portfolio manager buys it at ₹100 and holds it until maturity. If the bond is bought at par, what is the yield to maturity?

The yield to maturity is equal to 9%. When a bond is bought at its face value, the discount rate that makes the present value of coupons and redemption equal to the price is the coupon rate itself.

  1. ALower than 9%
  2. BEqual to 9%Correct
  3. CHigher than 9%
  4. DCannot be determined without reinvestment rate

Explanation

When a bond is purchased at par, the price equals face value, and the discount rate that equates the cash flows to price is the coupon rate. So YTM = 9%. Reinvestment rate is an assumption of the YTM calculation, not an input needed to find it.

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