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QUESTION

Suppose your 401(K) plan offers two investment options: a fund that invests in the total stock market and a fund that invests in Treasury Bills.

Suppose your 401(K) plan offers two investment options: a fund that invests in the total stock market and a fund that invests in Treasury Bills. In your 401(K) plan, you are not allowed to borrow or short a fund (i.e., you can only take long positions in these two funds). Suppose that your risk aversion is such that you wish to pick a portfolio combination of the total stock market fund and Treasury Bills that comes closest to having the same systematic risk as Fund 1 (based on your CAPM regression results in question 7).

In order to come closest to achieving your desired level of systematic risk, what percentage in your 401(K) plan would you invest in the total stock market fund? Report your answer in percentage points rounded to the nearest percentage point (e.g., 50 or 27). Also, when writing your answer, just write the number and do NOT add a "%" behind it (e.g., just write 50 and NOT 50%).

I just need the calculations, I have an explanation but my numbers aren't working out!

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