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Rates & BondsIntermediate

Zero-Coupon Bond

Zero Coupon BondZeroSTRIPS

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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Formula

Price = Face Value / (1 + YTM)^n

A zero-coupon bond makes no periodic interest payments. Instead it is issued (or trades) at a deep discount to its face value, and the investor's entire return is the difference between the discounted purchase price and the par value received at maturity. T-Bills are short-dated zeros; longer-dated Treasury STRIPS are created by separating a coupon bond's interest and principal into individually tradable zeros.

Because all cash flow arrives at a single point — maturity — a zero's duration equals its maturity exactly, giving it the highest interest-rate sensitivity of any bond at that tenor. A 30-year zero is the single most rate-sensitive Treasury instrument available; small yield moves swing its price violently.

The practical edge: zeros let investors lock in a known compound return and precisely match a future liability (a pension payout, a tuition bill). The trade-off is U.S. taxable holders owe tax on the imputed "phantom" interest each year even though no cash is received — so zeros are usually held in tax-deferred accounts.

Example

You buy a 10-year zero-coupon bond for $675 per $1,000 of face value. You receive no coupons. At maturity you collect $1,000 — a $325 gain that works out to about a 4.0% annually compounded yield.

#fixed-income#bond-mechanics#duration

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