LECTURE 3 Flashcards
(48 cards)
3 limitations to NPV
- Sensitive to choice of ROR
- Cash flows predicted
- Unstable environments decrease power of rule
If ROR is wrongly estimated, how does this affect NPV rule?
Overestimated = reject good projects Underestimated = accept bad projects
3 benefits of NPV
- Uses cash flows, not earnings
- Uses ALL cash flows
- Discount cash flows = incorporates time value of money
Difference between cash flows and accounting flow/earnings
cash flows = considers money when it actually comes into your account
Accounting flow = also considers sales made even if the money hasn’t been received yet.
How to calculate internal rate of return
IRR = the discount rate that makes NPV=0
IRR rule
Accept if IRR > r which is the opportunity cost of capital
How do YTM and IRR relate?
They’re mathematically equivalent
4 limitations of IRR
- Doesn’t differentiate between borrowing & lending to finance a project
- Some projects have -VE cash flows at end = double IRR
- Misleading if mutually exclusive projects with different cash flow & initial investment
- If > 1 opp cost in different years - which to use?
What kind of relationship between IRR and NPV is not acceptable?
A +VE one - they should be inversely related.
Payback period =
the number of years required to compensate the initial cost of the investment by accumulating cash inflow of the project or savings.
Payback rule
Accept project is payback period <= cutoff period (time limit for reimbursement).
Payback rule in formulas
Sum Ci >= I0 after t years (cut-off) = accept
5 limitations of payback rule
- Does not use all cash flows
- Doesn’t consider time value of money
- Doesn’t consider project’s life
- Cannot use if multi period investments
- Doesn’t account for shareholders’ expected ROR
4 steps to book ROR/average account return rule
- Average net income - sum over project’s life divided by number of years.
- Average investment - initial investment + account for depreciation
- AAR = average net income / average investment
- AAR >= target return = accept
1 benefit of AAR
simple return based measure that accounts for expected ROR of shareholders.
3 limitations to AAR
- Does not use cash flows
- Does not discount - no time value of money
- Arbitrary target ROR
Profitability index
reformatted version of NPV
NPV/cost = PV/cost > 1
Net cash flow =
Cash flow from capital investment and disposal
+ operating cash flow
+ cash flow from changes in working capitals
how do we calculate operating cash flow?
Revenue - expenses - taxes
or after-tax profit + depreciation
Working capital ratio =
current assets / current liabilities
Working capital measures…
the SR liquid assets a firm has to pay for unexpected expenses or even planned SR obligations.
Problem if working capital ratio < 1
Current assets < Current liabilities - may run into trouble
Why is a persistently high working capital ratio also bad?
Suggests CFO doesn’t know how to use assets to create more value for shareholders
NPV must estimate cash flow on an…basis
What does this mean?
INCREMENTAL basis - consider additional cash flows after project accepted and anything that impacts cash flow.