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Problem: Suppose you can invest in fund R&R (named after Risk and Return), which manages a portfolio with an expected return of 15% and a standard deviation of 20%. At the same time, the T-bill rate is 8%. Answer questions (a) and (b) and show the calculations that support your answers.
(a) For an investor whose complete portfolio consists of 70% R&R and 30% T-bills, what is the implied risk aversion of this investor?
(b) For an investor with a risk aversion of 5 and allocates her investment budget between R&R and T-bills, what is the proportion ( y ) that she would allocate to R&R that generates the highest expected return while satisfying her risk tolerance?
Assuming that the projects are independent (they do not compete with each other; hence you could accept both of them).
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