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Assume that you can invest in any of the following three securities today. You will hold them for a year, however, there is uncertainty about

Assume that you can invest in any of the following three securities today. You will hold them for a year, however, there is uncertainty about how well your investments will do over the ensuing year. This uncertainty is represented by the three "states of nature" that can potentially occur with probabilities of 1/3,1/3,1/3. The returns for each security in the three states of nature are given in the table below.

a. 45%, 32%

b. 13.2%, 9.7%

c. 15%, 10.67%

d. 19%, 12%

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