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Consider two value processes W and Y that follow a Random Walk with drift, i.e. WW=1H+1HZ1,Z1N(0,1) and YY=2H+2HZ2,Z2N(0,1) and correlation coefficient . Both have an

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image text in transcribed Consider two value processes W and Y that follow a Random Walk with drift, i.e. WW=1H+1HZ1,Z1N(0,1) and YY=2H+2HZ2,Z2N(0,1) and correlation coefficient . Both have an initial value of 80,1=9% p.a., 2=11% p.a., 1=18% p.a., and 2=22% p.a. Assume that you have a portfolio P with an initial value of 80 , and it contains equal weights of both assets W and Y. For which value of is the 1 -year 1% VaR equal to 24.2885 . Hint: Start with writing down the value process of your portfolio and think about its drift and volatility. Additionally, recall that for two assets: =wTw=w1212+w2222+2w1w212 Definition of Value-at-Risk (VaR) for value process W : Prob[(Wt+HWt)VaR()]= t current time W value process of portfolio H time horizon, measured in days or years confidence level

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