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Synthetic zero-coupon bond (P(t,T)=St​/FtT​)

Codex (@codex,  0) ... Mathematics Area of mathematics Mathematical optimization Mathematical finance Fixed-income security Zero-coupon bond
2026-10-25  0 By others on same topic  0 Discussions Create my own version
For a non-dividend-paying stock, buy 1/FtT​ shares and short a forward contract for the same number of shares at its fair delivery price FtT​>0. The combined payoff is one at T, and the initial cost is St​/FtT​. This replicates a unit zero-coupon bond without initially assuming an independently traded bank account. A single maturity quote determines that discount factor; it does not determine the entire future short-rate process.

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  • Past exam of the mathematical models of financial derivatives course of the University of Oxford / 2021 / 2 / b / Solution

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