# YTM and current yield

Which of the following statements is correct?

a. If a bond’s yield to maturity exceeds its coupon rate, the bond’s current yield must also exceed its coupon rate.

b. If a bond’s yield to maturity exceeds its coupon rate, the bond’s price must be less than its maturity value.

The correct answer is b. I would like to know why option a is incorrect.

If bond price is less than maturity value, then current yield = (annual coupon payment)/(current bond price) > coupon rate. Is there anything wrong with this reasoning?

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Where does that come from? CFA exercises? –  SRKX Mar 28 '13 at 13:06
It comes from the book 'Essentials of Financial Management' –  Ong Junjie Mar 29 '13 at 2:17

(a) is false

Consider a zero coupon bond. Yield to maturity clearly exceeds the coupon rate, but

$$Y_\text{current} = 0 = \text{Coupon}$$