Bond Yields and Roll-Down

Bond yield and roll-down concepts for interpreting Treasury benchmarks, negative yields, curve aging, and holding-period return assumptions.

Bond yield and roll-down analysis connects today’s price with future cash flows and a specified holding-period scenario. It separates a quoted yield from the return an investor might realize as coupons are paid, time passes, and yield or spread curves change.

Treasury Yield explains individual-security, auction, bill, real-yield, and Constant Maturity Treasury conventions. Negative Bond Yield explains how price and scheduled cash flows can imply a yield below zero without guaranteeing every buyer a realized loss.

Roll-Down Return estimates the price effect of a bond aging to a shorter curve point. It should be reported with the holding period, curve, spread, coupon, pull-to-par, financing, and transaction-cost assumptions.

Return Framework

1Coupon and principal cash received
2+ price change from time and pull to par
3+ price change from benchmark and spread roll
4+ price change from actual market moves
5- financing and transaction costs
6= holding-period profit or loss before taxes and currency effects

The components can overlap if definitions are not controlled. Start with actual cash flows and price, state the yield convention, and separate unchanged-curve scenario results from realized market performance.

What To Verify

Check the curve date and type, quotation source, clean or dirty price, settlement date, coupon frequency, maturity, calls, principal schedule, spread, currency, and horizon. A yield or roll estimate is decision-useful only when its assumptions match the security and the intended holding period.

In this section

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Negative Bond Yield

A negative bond yield means the security's price and scheduled cash flows imply a nominal yield below zero under a stated convention and holding assumption.

Roll-Down Return

Roll-down return estimates the bond price effect of aging to a shorter curve point under an unchanged-curve assumption.

Treasury Yield

Treasury yield is the market-implied return on a U.S. Treasury security or a standardized point on the Treasury yield curve under a stated convention.

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