Exchange rate in Moroccan economy has been considered a critical push-forward force for domestic inflation which leads to the depreciation of currency value. Exchange rate is the price for which the currency of a country can be exchanged for another country's currency in the foreign exchange market. This article seeks to adopt two stochastic models for estimation of exchange rate EURO/MAD. Firstly, it aims at the investigation of stochastic models (two models) to show the variation of exchange rate, and, secondly, try to draw a comparison between these models in terms of error estimation performances and, as a result, to recommend a stochastic model for exchange rate EURO/MAD. The present paper is an extension of our precedent work entitled and referenced: “Elaboration of two stochastic models of EURO/MAD exchange rate and measure of their forecast accuracy,” International Journal of Innovation and Applied Studies, vol. 17, no. 3, pp. 1029–1036, August 2016.. In addition to our precedent results (for reasons of clarity we repeat our previous work here), we produced a prediction intervals for each future value of exchange rate EURO/MAD. In this paper, the geometric Brownian motion (stochastic process without mean reversion propriety) and Vasicek process (stochastic process with mean reversion speed), are used to model the exchange rate EURO / MAD, then they are compared in terms of average estimation error. In order to calculate models parameters daily close price of the Euro/MAD from 01/12/2008 to 01/03/2016 (2242 values) can be taken from Casablanca stock exchange and ,hence, two stochastic models for exchange rate is to be derived, and compared. According to simulation results, we can finally recommend one of the two models.

Exchange rate in Moroccan economy has been considered a critical push-forward force for domestic inflation which leads to the depreciation of currency value. Exchange rate is the price for which the currency of a country can be exchanged for another country's currency in the foreign exchange market. This article seeks to adopt two stochastic models for estimation of exchange rate EURO/MAD. Firstly, it aims at the investigation of stochastic models (two models) to show the variation of exchange rate, and, secondly, try to draw a comparison between these models in terms of error estimation performances and, as a result, to recommend a stochastic model for exchange rate EURO/MAD. In this paper, the geometric Brownian motion (stochastic process without mean reversion propriety) and Vasicek process (stochastic process with mean reversion speed), are used to model the exchange rate EURO / MAD, then they are compared in terms of average estimation error. In order to calculate models parameters daily close price of the Euro/MAD from 01/12/2008 to 01/03/2016 (2242 values) can be taken from Casablanca stock exchange and ,hence, two stochastic models for exchange rate is to be derived, and compared. According to simulation results, we can finally recommend one of the two models.