Problem:
Tyler Trucks stock has an annual return mean and standard deviation of 10 percent and 39 percent, respectively. Michael Moped Manufacturing stock has an annual return mean and standard deviation of 11.6 percent and 45 percent, respectively. Your portfolio allocates equal funds to Tyler Trucks stock and Michael Moped Manufacturing stock. The return correlation between Tyler Trucks and Michael Moped Manufacturing is .5.
Required:
Question: What is the smallest expected loss for your portfolio in the coming month with a probability of 2.5 percent?
Note: Provide support for rationale.