I have a conceptual question that needs help. Does anyone know whether the short rate model generate discount rate or forward rate?

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    $\begingroup$ From a short rate model, you can bond price and then you can compute the forward rate. $\endgroup$ – Gordon Mar 14 '16 at 14:42

Which is the paper/book you are reading? It should be noted there. But basically in a short-rate model you have

  1. a model for the short rate $r_t$
  2. you can calculate zero-coupon bond prices from it by $P_T = E[\exp(-\int_{0}^T r_u du)]$
  3. from these prices you can calculate the yield-to-maturity $Y_T$ which fulfills $$ P_T =\exp( - Y_T T) $$ thus $Y_T = - \log(P_T)/T$.

From the yield-to-maturity of a zero bond you get the spot term structure and then by the usual calculations forward rates.

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  • $\begingroup$ @Quant2015 if you like the answer and if it helped you then you could accept it by clicking on the respective button ... $\endgroup$ – Ric Mar 16 '16 at 7:49
  • $\begingroup$ so short rate is basically a forecasted discount rate in the short term? $\endgroup$ – Quant2015 Jul 11 '16 at 17:30

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