Calculate the approximate yield to maturity for a bond, along with total coupon payments and capital gain/loss.
Approximate Yield to Maturity (YTM):
5.641
Total Coupon Payments Received:
500
Capital Gain/Loss:
50
Yield to maturity (YTM) is the approximate annual return a bond investor would receive if the bond is held to maturity, accounting for coupon payments and any capital gain or loss.
Key formula (approximate): YTM ≈ (Annual coupon + (Face value − Price) / Years to maturity) / ((Face value + Price) / 2)
YTM ≈ (Annual coupon + (Face value − Price) / Years to maturity) / ((Face value + Price) / 2)
Example values: Face value = $1,000, Market price = $950, Coupon rate = 5% (annual), Years to maturity = 5.
YTM is the bond's internal rate of return if held to maturity, combining coupon income and any capital gain or loss spread over the holding period.
Yes. More frequent coupon payments change the timing of cash flows and therefore the effective yield; adjust calculations to the payment frequency for greater accuracy.
The formula is an approximation that is quick and practical. For an exact YTM use a financial calculator or solve for the internal rate of return numerically.