Problem $2$

You are asked to evaluate the following statements about capital budget criteria. Please state

whether each statement below is true or false and briefly explain your answer. A statement is

considered true when it is unambiguously correct; otherwise, the statement is false. For all

statements, assume that the company is profitable, that the tax rate is greater than zero, and that the

discount rate is greater than zero. You can also assume that all the discount rates and cash flows

have been accurately estimated for each project. A typical investment project is a project that

requires a cash outflow at time zero and provides positive cash inflows for the rest of its life. If it is

indicated that a company is not capital$-$constrained $($part e$),$ it means that the firm has enough

money to implement any combination of its projects $($all of them, some, or none at all$).$

a$)$ For all investment projects, increasing the discount rate will reduce the NPV$.$

b$)$ For typical investment projects, increasing the discount rate will shorten the discounted payback

period.

${?}^1$ Please do not round the number of periods to an integer; retain two digits after the decimal point.

c$)$ If a company has to select one project from three mutually exclusive typical investment projects,

it will create the most value for the shareholders by choosing the project with the highest

profitability index.

d$)$ One advantage of the IRR is that it can be used to rank typical investment projects according to

their investment attractiveness without knowing their discount rates.

e$)$ If a company is not capital$-$constrained and has several typical independent projects with known

discount rates and known IRRs but with a different scale $($different size of the initial investment$),$

the IRR criterion will yield the same accept$/$reject decision for each project as the NPV$.$

f$)$ Since depreciation is a non$-$cash expense, the choice of depreciation method $($straight$-$line vs$.$

MACRS$)$ for both accounting and tax purposes does not affect the value of the profitability index

for a typical investment project.