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Amortization Schedule
a record of your loan payments that shows the principle amounts and the interest included in each (equal) payment until the end of the loan term
Capital Recovery
recovering initial funds put into an investment through returns from that investment, making it a break-even measure
Caveat Emptor (Buyer Beware)
the principle that the buyer alone is responsible for checking the quality and suitability of goods before a purchase is made
In Present Worth Analysis, we resolved alternatives into: (3)
Net Present Worth
Present Worth Cost
Present Worth Benefit
In Annual Cash Flow Analysis, we compare alternatives based on (3)
Equivalent Uniform Annual Benefit (EUAB)
Equivalent Uniform Annual Cost (EUAC)
Equivalent Uniform Annual Worth (EUAW)
what is the relationship between EUAW, EUAC, and EUAB?
EUAW = EUAB - EUAC
What does "A" represent
end of period costs/ benefits
Definition of sunk cost and how they affect decision making
= expenditures that have occurred in the past
they do not affect decision making for the future since they can not be changed
What are the two borrowed money viewpoints and their definitions?
1. Financing = obtaining money at an interest rate, borrowed from a bank or firm
2. Investment = spending money considering lifecycle costs and benefits
Standard assumption is that the money needed will be ____ with ____
borrowed (from a bank or firm) with interest rate "i"
What does "S" represent?
salvage value
EUAC = (3)
P(A/P, i, n) - S(A/F, i, n)
(P-S)(A/F, i, n) + P(i)
(P-S)(A/P, i, n) + S(i)
if Situation is: neither input or output fixed (typical situation),
then Criterion is: _____
Maximize EUAW using EUAW = EUAB - EUAC
if Situation is: fixed input,
then Criterion is: _____
Maximize EUAB
if Situation is: fixed output,
then Criterion is: _____
Minimize EUAC
Types of Annual Cash Flow and Analysis Periods (5)
1. Analysis period equal to alternative lives
2. Analysis period is a common multiple of alternative lives
3. Analysis period for a continuing requirement
4. Infinite analysis period
5. Some other analysis period
Analysis period equal to alternative lives meaning
Economic study is based on the analysis period
Analysis period is a common multiple of alternative lives meaning
under assumption of identical replacement, economic study is based on the alternatives' own lives
you can assume that all costs and benefits will remain unchanged throughout the life of the porject
Analysis period for a continuing requirement meaning
Under the assumption of identical replacement, economic study is based on the alternatives' own lives
Infinite analysis period meaning
under the assumption of identical replacement, economic study is based on the alternatives' own lives
Some other analysis period meaning
need to estimate the terminal values for all alternatives at the end of the analysis period
Excel function to find the loan balance given i, n, and A
PV(i, n, -A)
Excel function to find payment per period (A) given i, n, P
PMT(i, n, -P)
Excel function to find the interest portion in the xth payment
IPMT(i, x, n, -P)
Excel function to find the principal portion in the xth payment
PPMT (i, x, n, -P)
Excel function to find remaining periods to payoff the loan
NPER (i, -A, P)
What is the most frequently used measure in the industry?
Rate of Return
Calculating the Rate of Return is (dependent/independent) from the MARR
independent
Internal Rate of Return (3)
interest rate where PW = EUAW = 0
on a loan, it is the interest rate on unpaid balance so balance = 0 after final payment
on an investment, it is the interest rate earned on the un-recovered investment so un-recovered investment = 0 after last cash-flow
Two perspectives of IRR and their definitions
1. Borrowing = interest rate paid on the unpaid balance of a loan, such that the payment schedule makes the unpaid loan balance equal to 0 after the final payment is made
2. Investment = the interest rate earned on the unrecovered investment, such that the payment schedule makes the unrecovered investment equal to 0 at the end of the investment life
When graphing NPW vs i, where on the graph is the IRR?
The x intercept
a NPW vs i graph from the borrowing perspective will trend (up/down)
up
a NPW vs i graph from the investment/lending perspective will trend (up/down)
down
Two forms of interest rates and their definitions
1. Nominal = does not take into account the compounding period
2. Effective = does take into account the compounding period and thus is a more accurate measure of interest charges
Discount Rate definition
the interest rate used to calculate the present value of future cash flow from a project/investment
What rate do many companies use when budgeting for a new project?
Discount Rate
Incremental Analysis looks at ___
the ΔIRR, the difference between two courses of action
Incremental Cash Flow =
(higher initial - cost alternative) - (lower initial - cost alternative)
how to calculate ΔRoR (B-A)
(Net income for Alternative B - Net income for Alternative A)/ (Initial cost for B - Initial cost for A)
If ΔIRR ≥ MARR, choose the (higher/lower)-cost alternative
If ΔIRR < MARR, choose the (higher/lower)-cost alternative
higher
lower
Why do businesses use Incremental Analysis?
To decide whether to accept additional business, make or buy products, sell or process products further, eliminate a product or service, and decide how to allocate resources
Mutually Exclusive Alternatives definition (2)
only one alternative may be implemented
all alternatives serve the same purpose
Definition of Monotonically Increasing/Decreasing
if its graph is only increasing

Process to compare multiple alternatives
1. Compute i for each alternative individually and discard those with i , MARR
2. rearrange the alternatives in order of increasing cost
3. Calculate the IRR of the least expensive alternative to see if it's better than the "do nothing" alternative of the given MARR
4. Calculate the ΔIRR (challenger - defender) of the next alternative vs whichever was best in 3
5. Keep doing this until you are left with which one is the best
ROR analysis (does/does not) require a MARR
Present Worth or Annual Cash Flow Analysis (does/does not) require a MARR
does not
does
When comparing mutually exclusive alternatives and calculating the EUAC, which is the best option?
The one with the lowest EUAC
When comparing mutually exclusive alternatives and calculating the EUAW, which is the best option?
The one with the highest EUAW