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These terms are used in a proof that the forward price of a foreign exchange pair (where the base is USD) at time $t$ is $X_t \cdot e^{(r_s-r_f)(T-t)}$, where $r_s$ is the dollar zero rate and $r_f$ is the foreign zero rate.

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    $\begingroup$ The "zero" refers to "zero-coupon bond". $r_s$ in your case is the continuously compounded risk-free USD interest rate used to value a zero-coupon bond with maturity $T$. $\endgroup$ – LocalVolatility Jan 5 '18 at 8:46
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The dollar zero rate is the interest rate of a zero coupon bond issued in dollars. The foreign zero rate is the interest rate of a zero coupon bond issued in the foreign currency.

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    $\begingroup$ As a reminder the price in USD of a ZCB of maturity $(T-t)$ is $P=e^{-r_s (T-t)}$ and similarly for the foreign ZCB. $\endgroup$ – noob2 Jan 5 '18 at 14:18

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