The yield to maturity and current yield on a bond are equal

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The yield to maturity is the total return an investor can expect to earn if the bond is held until it matures, taking into account the bond's current market price, its par value, the coupon rate, and the time remaining until maturity. The current yield, on the other hand, is simply the bond's annual coupon payment divided by its current market price. These two yields will be equal only if the bond's coupon rate is equal to the prevailing market interest rate for bonds with similar risk characteristics. When this condition is met, the market price of the bond will be equal to its par value, and its yield to maturity and current yield will be equal.

The Yield to Maturity and Current Yield on a Bond