Your team is evaluating two mutually exclusive projects. The initial cost of each investment is $$50,000.$ The probability of the annual cash flows is shown below $($note these cash flows and probabilities are the same each year$).$ If the project will have a $5-$year life and the appropriate cost of capital is $9\%$ calculate the following:

Probability CF$($A$)$ CF$($B$)$

$10\%(34,000)(13,500)$

$25\%(8,500)2,125$

$30\%17,00019,000$

$25\%42,50031,875$

$10\%68,00046,750$

a$)$ Expected cash flow per year

b$)$ Standard deviation

c$)$ NPV

d$)$ IRR

e$)$ MIRR