Emusk Inc. is evaluating two mutually exclusive projects. The required rate of return on these projects is $8\%.$

a$.)$Calculate the internal rate of return for Project B$.($Enter percentages as decimals and round to $4$ decimals$).$

b$.)$Calculate the incremental IRR $($aka cross$-$over rate$)$ for the two projects. $($Enter percentages as decimals and round to $4$ decimals$).$

c$.)$Calculate the net present value for project A$.($Round to $2$ decimals$)$

d$.)$Calculate the net present value for project B$.($Round to $2$ decimals$)$

e$.)$Calculate the profitability index for project A$.($Round to $3$ decimals$)$

f$.)$Calculate the payback period for project B$.($Round to $3$ decimals$)$

Year Project A Project B

$0-15,000,000-15,000,000$

$12,000,0006,000,000$

$23,000,0006,000,000$

$35,000,0006,000,000$

$45,000,0001,000,000$

$56,000,0001,000,000$