Yield to Maturity

The total expected return on a bond if it is held until it matures, assuming all interest payments are made on time and reinvested at the same rate.

Yield to Maturity (YTM) is the total annual return an investor expects to earn on a bond, assuming they purchase it at its current market price, hold it until its maturity date, and receive all scheduled coupon and principal payments on time. It is expressed as an annual percentage rate and is widely considered the most comprehensive measure of a bond's overall return because it accounts for both the interest income and any capital gains or losses realized by maturity. Calculating YTM involves finding the discount rate that equates the present value of all future cash flows from the bond (its periodic coupon payments and its final face value payment) to its current market price. Because this calculation requires solving for an internal rate of return, it is typically performed using financial calculators or spreadsheet software, though investors often use a simplified approximation formula for quick estimates. For investors, YTM is a critical tool for comparing bonds with different coupon rates, maturities, and market prices. If a bond is purchased at a discount (below its face value), its YTM will be higher than its coupon rate because the investor gains capital appreciation at maturity. Conversely, if purchased at a premium (above its face value), its YTM will be lower than its coupon rate. A key limitation of YTM is its assumption that all coupon payments can be reinvested at that exact same YTM rate, which is rarely possible in a fluctuating interest rate environment.

An investor buys a 5-year bond with a face value of $1,000 and a 4% annual coupon rate (paying $40 per year) for a discounted market price of $950. Using the approximation formula: Approximate YTM = (40 + (1000 - 950) / 5) / ((1000 + 950) / 2) = (40 + 10) / 975 = 50 / 975 = 5.13%.