help please :)

3) (6 points) You are developing a portfolio of three different investments, A, B and C You have $100,000 to invest and can put as much or as little as you wish into the three different options as long as the total adds up to $100K. Assume, somewhat unrealistically, that the three investments are completely independent. - Investment A is high risk, high return with a mean return of 15% but a standard deviation of 25%. Assume it is normally distributed. - Investment B is medium risk, medium return. The return is equally likely to be any number between 5% and +25%. [Hint: Use =(rand)305)/100 to generate these returns, not = porminul0.] - Investment C is low risk, low return, normally distributed with mean 5% and standard deviation 2%. 1) Starting with a conservative portfolio consisting of $20,000 in A,$20,000 in B and $60,000 in C, simulate what your retum will be several thousand times. Don't be lazy on this one, do 10,000 simulations if your computer can handle it. a. Estimate the average retum (percentage) for this portfolio. b. Estimate the standard deviation of the returns. c. Estimate the probability that this portfolio will lose money, with a negative return. 2) Repeat part 1) but now with a more aggressive portfolio comprised of $40,000 in both A and B and $20,000 in C. 3) Compare the average returns and probabilities of loss for parts 1) and 2). Discuss the tradeoff between risk and reward. 4) Assume you put all your money into investment A. The average retum should of course be 15%, but what is the probability of loss? What is the probability of loss if you put all your money into B or into C ? 5) If you have equal amounts of money in investments A and C (and the rest in B), the average return should be 10%. Which portfolio with A=C (and A+B+C= $100,000 ) has the lowest probability of loss? 6) At first glance, it might seem like the safest thing you can do is to put all your money in C, with 5% return and low probability of loss you determined at the end of part 4). However, compare putting all $100k into C with putting $20,000inB and $80,000 in C. Compare the average rates of return versus the probabilities of loss. This is why, in real life, you need to diversify your portfolio. Try to explain this paradox, noting that it depends on the assumption that the three investments are independent. This assumption isn't quite true and was one of the causes of the subprime mortgage crisis in 2008-2009