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When is capital recovery formula used?
-Calculate a payment amount needed
-pay off a loan/original investment
-specified time period
How do you modify the capital recovery formula to use monthly payments?
All i values become i/m
all n values become nxm
When is sinking fund formula used?
-To accumulate a future amount
-In a specified amount of time
How do you modify the sinking fund formula to use monthly payments?
All i values become i/m
all n values become nxm
What do you do if there is a future amount to accumulate but there is already x amount of dollars in an account?
Subtract the x amount of dollars from the value needed before calculations
Capital recovery is doing what with interest?
Paying interest
Sinking fund is doing what with interest?
Earning interest
Many forestry decisions involve what?
Capital management
Forest is owned for?
Many objectives
Funds are spent to?
Maximize their objectives
How to invest funds?
Capital budgeting
-decision needs to be made about which is the best investment choice
Financial Criteria
-Net present value, equivalent annual income, rate of return, benefit to cost ration, land expectation value
Net present value (NPV)
NPV = Present value of revenues - Present value of costs
-NPV is a financial metric that seeks to capture the total value of a potential investment opportunity.
NPV more than 0
Accept because the investment generated profit in present value terms
NPV=0
Accept because the investment generated enough revenues to balance the costs in present value terms
NPV less than 0
Reject because the investment does not generate enough revenue to balance the costs in present value terms
Equivalent Annual Income (EAI)
-Also called AEV (Annual Equivalent Value)
-Used to compare investments with different time periods
EAI is more than 0
Accept because annual discounted revenues are greater than discounted rates
EAI is equal to 0
Accept because annual discounted revenues are equal to discounted costs
EAI is less than 0
Reject because the annual discounted rates are smaller than the discounted costs
Benefit to cost ratio
PVR/PVC
unitless
BC is more than 1
Accept because discounted R are grater than discounted C.
Every $ invested generated more than one dollar in return
BC is equal to 1
Accept because discounted R are equal to discounted C
Every $ invested generated one dollar back
BC is less than 1
Reject because discounted R are less than discounted C
Every dollar invested generates less than one dollar in return
Rate of Return
discount rate when NPV is 0
-also called internal rate of return (IRR) or break even discount rate
If you have more than 2 cash flows and information about MARR and NPV what formula should you use?
The IRR formula
What does Absolute difference between NPV mean?
Take the absolute value
(7+(-5)) or 7+5
ROR is more the MARR
Accept because rate of return on investment is
greater than a minimum acceptable rate of return
(MARR) required by a forest landowner
ROR is equal to MARR
Accept because rate of return on this investment is
equal to a minimum acceptable rate of return
(MARR) required by a forest landowner
ROR is less than MARR
Reject because rate of return on this investment is smaller than a minimum acceptable rate of return (MARR) required by a forest landowner
Land Expectation Value (LEV)
-Also known as Soil Expectation Value (SEV), Willingness to Pay for Bare Land, Maximum bid price, bare land value (BLV)
-Estimate of the value of tract of land for growing timber
-LEV is calculated for an infinite number of rotations
What does LEV represent?
Maximum amount of money that can be paid for bare land at a given minimum acceptable rate of return (MARR) and assuming that timber production on this land will be continued in perpetuity.
LEV assumptions
-All costs and revenues will occur in perpetuity (forever) with the same timing and magnitude
-Land will be used for timber production in perpetuity
Do you use NPV or NFV to calculate LEV?
You can use either one