The left half of the right side of the equation is the present value of all the coupon payments, i.e. We can recognize that, because all of the coupon payments are the same, we can rewrite the formula by breaking it down into the present value of an annuity and the present value of the face value of the bond. We must assume that all payments are made on time, and we must assume that the bond is held to maturity. The yield to maturity is the discount rate that equates the present value of all future cashflows of the bond (coupon payments and payment of face value) and the current price of the bond.
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