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Rates & BondsIntermediate

Yield to Maturity

YTM

The total annualized return an investor earns if they hold a bond to maturity — accounting for coupon payments, price paid, and time remaining.

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Formula

Price = Σ [C / (1+YTM)^t] + Face Value / (1+YTM)^n  (solve for YTM)

Yield to Maturity (YTM) is the most complete measure of a bond's return. It is the single discount rate that equates the present value of all future cash flows (coupons + face value) to the current market price.

YTM assumes: (1) the investor holds the bond to maturity, (2) all coupon payments are reinvested at the same YTM rate. In practice, reinvestment rates vary — but YTM is still the standard measure for comparing bonds with different coupons, maturities, and prices.

When traders say a 10-year Treasury "yields 4.50%", they mean YTM is 4.50%. The entire yield curve is plotted using YTM.

#fixed-income#yield#valuation

Related Terms

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Accrued Interest

The coupon interest earned on a bond since the last payment date, owed by the buyer to the seller when a bond is purchased between coupon dates.

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A debt instrument in which the issuer borrows money from the buyer and promises to pay periodic interest plus return the principal at maturity.

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Bond Yield

The return an investor earns by holding a bond — driven by its price, coupon, and time to maturity. Moves inversely with price.

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Callable Bond

A bond the issuer can redeem early at a set call price, usually after rates fall — capping the holder's upside and adding reinvestment risk.

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Coupon

The fixed annual interest payment made by a bond issuer to the bondholder, expressed as a percentage of face value.

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Current Yield

A bond's annual coupon payment divided by its current market price — a simple but incomplete measure of yield that ignores capital gain or loss.

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Duration

A measure of a bond's sensitivity to interest rate changes — the approximate percentage price change for a 1% move in yield.

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Maturity

The date on which a bond's principal must be fully repaid to the bondholder, ending the life of the debt instrument.

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Nominal Yield

A bond's stated yield without adjusting for inflation — the face-value return before accounting for the erosion of purchasing power.

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The fundamental bond market law: when yields rise, bond prices fall; when yields fall, bond prices rise — always and mechanically.

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Yield to Worst (YTW)

The lowest yield a bond can deliver across all its possible redemption scenarios — the conservative return assumption for callable bonds.

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Zero-Coupon Bond

A bond that pays no periodic coupon, sold at a discount to face value; the entire return is the gap between purchase price and par at maturity.

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