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The Signal Ledger Academy · Beginner

Bond Prices and Yields

For fixed promised cash flows, a higher required yield implies a lower present price, and a lower required yield implies a higher price. This inverse relationship is arithmetic; a real bond’s result also depends on credit, timing and contractual features.

By The Signal Ledger · Prepared

Start with the promised payment

Consider a fictional security paying $1,000 exactly one year from now with no other cash flow. At a required yield of 5%, its price is $1,000 ÷ 1.05, about $952.38. At 6%, its price is about $943.40. The promised payment is unchanged, but the discount rate is higher.

A coupon bond has several payments to discount rather than one. The same relationship applies while holding those expected cash flows fixed. If the market also changes its assessment of whether the issuer will pay, the cash-flow and discount-rate effects both matter.

Coupon, current yield and yield to maturity differ

A fictional $1,000 face-value bond pays a $40 annual coupon. Its coupon rate is 4% of face value. At a $900 purchase price, current yield is $40 ÷ $900, about 4.44%. That ratio does not include the timing or potential gain from receiving principal at maturity.

Yield to maturity solves for a discount rate equating the purchase price with the scheduled payments under its assumptions. It is not automatically the return an investor will realize after taxes, changing reinvestment rates, an early sale or a default.

Some bonds respond more than others

Cash flows farther in the future generally have greater price sensitivity to a discount-rate change, other things equal. Duration summarizes one form of that sensitivity, and convexity describes curvature. Embedded options and changing credit conditions can complicate the relationship.

A rough duration-based estimate is a local approximation, not a universal loss limit. A portfolio of bonds with different maturities and credit exposures should not be reduced to the coupon of one security. A bond fund’s changing holdings also differ from holding one bond to its final payment.

A yield change is not an investment return

If a yield rises from 4.0% to 4.2%, it rises by 20 basis points. That does not mean the bondholder earned 0.2%. For a fixed-rate instrument, the associated price movement may be negative, and income must be considered separately.

Read the yield, the instrument and the return window together. A market report can use yields to describe changing financing conditions without claiming those yields are the realized performance of a bond portfolio. Keeping those concepts separate prevents a common interpretation error.

Check your understanding

The promised payment stays fixed while the required yield rises. What happens to its present value?

Show the explanation

It falls. The same future amount is discounted more heavily. Other changing bond risks can add further effects in an actual market.

Sources and editorial notes

Original explanations and hypothetical examples prepared with AI assistance. Primary references checked October 16, 2026. Numerical examples are hypothetical unless explicitly identified otherwise.