A firm with a $13\%$ WACC is evaluating two projects for this year's capital budget. After$-$tax cash flows, including depreciation, are as follows:A firm with a $13\%$ WACC is evaluating two projects for this year's capital budget. After$-$tax cash flows, including depreciation, are as follows:

a$.$ Calculate NPV for each project. Do not round intermediate calculations. Round your answers to the nearest cent.

Project $M$:$

Project N: $

Calculate IRR for each project. Do not round intermediate calculations. Round your answers to two decimal places.

Calculate MIRR for each project. Do not round intermediate calculations. Round your answers to two decimal places.

Project M:

$\%$

Project N:

$\%$

Calculate payback for each project. Do not round intermediate calculations. Round your answers to two decimal places.

Project M:

years

Project N:

years

Calculate discounted payback for each project. Do not round intermediate calculations. Round your answers to two decimal places.

Project M:

years

Project $N$ :

years

b$.$ Assuming the projects are independent, which one$($s$)$ would you recommend?

$-S$

c$.$ If the projects are mutually exclusive, which would you recommend?

$-$Select$-$

d$.$ Notice that the projects have the same cash flow timing pattern. Why is there a conflict between NPV and IRR?