For all problems, your answers should provide $($a$)$ Timeline, $($b$)$ Financial equation, $($c$)$

Algebraic equation, and $($d$)$ Answer in $9$ decimal places in sequence.

Consider the following two mutually exclusive projects:

t$=0$ t$=1$ t$=2$ t$=3$ t$=4$

Project S $-1,000,000900,000240,00010,00010,000$

Project $-1,000,0000250,000400,000790,000$

The required rate of return is $10$ percent.

$1.$ Calculate the payback period for each project. Using the payback decision

rule, which project should be accepted?

$2.$ Calculate the discounted payback period for each project. Using the

discounted payback decision rule, which project should be accepted?

$3.$ Calculate the internal rate of return for each project. Using the IRR decision

rule, which project should be accepted?

$4.$ Calculate the net present value for each project. Using the NPV decision rule,

which project should be accepted?

$5.$ Among four decision rules, which one should be followed?