Expected Return

You are considering a security with the following possible rates of return:

Probability

Return $(\%)$

$0\mathrm{.}15$

$9\mathrm{.}5$

$0\mathrm{.}25$

$13\mathrm{.}6$

$0\mathrm{.}50$

$14\mathrm{.}9$

$0\mathrm{.}10$

$25\mathrm{.}3$

Assume that you expect to hold a $$20,000$ investment for one year. It is forecasted to have a year$-$end value of $$21,000$ with a $30\%$ probability; a year end value of $$24,000$ with a $45\%$ probability; and a year$-$end value of $$30,000$ with a $25\%$ probability. Calculate the Standard Deviation of the investment. $$\_\_\_\_\_\_\_(2$ decimals; no comma$)$

Assume that you expect to hold a $$20,000$ investment for one year. It is forecasted to have a year$-$end value of $$21,000$ with a $30\%$ probability; a year end value of $$24,000$ with a $45\%$ probability; and a year$-$end value of $$30,000$ with a $25\%$ probability. Calculate the Standard Deviation of the investment. $$\_\_\_\_\_\_\_(2$ decimals; no comma$)$