14. Consider an investor who wants to make a one-year investment in Stock A and is asking for your advice on how much to invest. Let R be a random variable representing the one-year return of Stock A (for example, R=0.1 means that its stock price after a year is 10% higher than the current price). This investor believes that R is normally distributed with mean and standard deviation . As of today, he has w0 dollars in his bank account that pays him a fixed interest rate r(r0 (this model reflects that the additional happiness that he gets from having one more dollar is diminishing as his wealth grows). What is the value of x that maximizes the investor's expected happiness, in terms of r,,,,w0 ? If the investor is wiling to invest in the other stocks, what would you like to suggest? 14. Consider an investor who wants to make a one-year investment in Stock A and is asking for your advice on how much to invest. Let R be a random variable representing the one-year return of Stock A (for example, R=0.1 means that its stock price after a year is 10% higher than the current price). This investor believes that R is normally distributed with mean and standard deviation . As of today, he has w0 dollars in his bank account that pays him a fixed interest rate r(r0 (this model reflects that the additional happiness that he gets from having one more dollar is diminishing as his wealth grows). What is the value of x that maximizes the investor's expected happiness, in terms of r,,,,w0 ? If the investor is wiling to invest in the other stocks, what would you like to suggest