Question
You are confronted with the opportunity to participate in a project with the following known distribution of returns: State Prob Project ROR 1 1/4 20%
You are confronted with the opportunity to participate in a project with the following known distribution of returns:
State | Prob | Project ROR |
1 | 1/4 | 20% |
2 | 1/2 | 15% |
3 | 1/4 | -4% |
A bank will allow you to borrow -- at 8% -- up to the amount of your own money that you commit to the project (i.e., if you invest, say $10 of your own money, you can borrow another $10 to do the same).
a.) What will be the standard deviation of the ROR you will earn if you borrow the maximum amount?
b.) You decide to invest $100 of your own funds and invest another $100 more of borrowed funds. What will be your wealth position at the project's close if state 3 occurs?
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