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Hedged Yields

Ex-Ante Hedged Yields Matrix

How to read: Rows = Investor home currency | Columns = Bond market currency

Example: EUR row, USD column = Yield a EUR-based investor receives when buying USD bonds and hedging back to EUR

We calculate the total USD return of a foreign‑currency bond when you hedge the FX risk assuming 1YR rolling hedge. We start with the bond’s local‑currency return and add the FX‑forward return—computed as the one‑year USD forward rate divided by today’s USD spot rate minus 1—which captures the currency gain or cost from the forward hedge. This captures the cross-currency bias that could exist in the FX cross.

Hedged Return  =  Rbondforeign  +  (FFXforwardUSD,1yrSFXUSD,spot1)\mathrm{Hedged\ Return} \;=\; R_{\mathrm{bond}}^{\mathrm{foreign}} \;+\; \biggl( \frac{F_{\mathrm{FX\,forward}}^{\mathrm{USD},\,1\mathrm{yr}}} {S_{\mathrm{FX}}^{\mathrm{USD},\,\mathrm{spot}}} -1 \biggr)