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Define NPV
PV of cash flows - initial investment
when do you accept NPV, and how do you rank it
when NPV > 0 ; NPV is ranked by highest for mutually exclusive projects
define IRR
Discount rate where NPV = 0
when do you accept IRR
Accept if IRR > cost of capital
If used correctly, IRR should match…
NPV.
you ___ rank mutually exclusive projects reliably
cannot
define PI (profitability index)
NPV / initial investment
When do you accept PI
Accept if PI > 0, rank highest PI under capital rationing
PI is useful for…
capital rationing ; same accept-reject as NPV
define Payback Period
time until cash flows = initial investment
when do you accept Payback Period
Accept if < cutoff
Payback period ignores…
cash flows after cutoff and discounting ; biased vs. long-term projects
define Discounted Payback
Time until PV of cash flows >= initial investment
when do you accept Discounted Payback
accept if < cutoff
Discounted payback never accepts ___ NPV
negative ; still ignores post-cutoff cash flows
what is the equation for EAA (equivalent annual annuity)
EAA = present value of costs / annuity factor
what is the equation for annuity factor
AF = (1-(1+r)^-n ) / r
what is EAA used for
to compare assets/machines of different lifespans. pick lowest EAA
define investment timing
choose project start date that maximizes NPV today. wait if expected gain from delay > cost of capital
define replacement problem
compare old machine annual cost vs. EAA of new machine (EAA (new) < cost(old)
what are the quick decision rules of NPV
always reliable; pick project with highest NPV
what are the quick decision rules of IRR
useful if no project interactions ; beware of multiple IRRS
what are the quick decision rules of PI
good for ranking under capital rationing
what are the quick decision rules of payback
rough guide; ignore post-cutoff cash flows
what are the quick decision rules of discounted payback
better than simple payback ; still ignores long-term cash flows
what are the quick decision rules of EAA
used to compare projects with different lives
a project’s opportunity cost of capital is…
the return that shareholders could expect to earn by investing in the financial markets
why would an investor select a project with lower NPV but higher profitability than a project with high NPV but lower profitability
capital rationing
define capital rationing
occurs when a company has limited funds to invest and cannot take all positive-NPV projects.
if a project’s NPV is calculated to be negative what should a project manager do
reject the project
if discount rate is greater than IRR, NPV is…
negative
if discount rate is less than IRR, NPV is…
positive
without capital rationing to choose between two mutually exclusive investments, what must be used
the NPV method.