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20 Cards in this Set

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  • Back
Future value
The value that an amount today will be worth at a certain point in the future.

Apply the interest rate to the principle.

FV = PV x (1 + r). r=interest rate
FV = PV x FV factor
Simple interest
Interest earned only on the original amount invested.
Compound interest
Interest earned on the original amount invested plus previously earned interest.

FV = PV x (1 + r)n. n=number of periods.
Number of interest payment periods is important
FVn = PV x [(1 + (r / m)] n x m
Effective annual interest rate
EAR - The rate of interest that reflects the effect of compounding more than once a year.
Standard interest rate
The quoted annual rate of interest that does not take account of the frequency of compounding.
Present value
The value today of money that will be received in the future.

PV = FVn / (1 + r)n
PV = FVn x PV factor
Discounting
The process of calculating the present value of a future amount.
Discount rate
The interest rate on loans made by Federal Reserve Banks to depository institutions.
Rate of return
PV = FVn / (1 + r)n

To figure ROR (1 + r)n = FVn / PV
Annuity
A series of fixed payments made on specified dates over a set period.
Ordinary annuity
A series of equal periodic payments made at the end of each period.
Future value of an ordinary annuity
Equal to the total of the future values of each of the payments made or received.
Present value of an ordinary annuity
The value today of a series of equal payments to be made or received in the future at the end of each specified period.

PVA = A x PVAF A = payment period PVAF = table value
Annuity due
A series of equal periodic payments made at the beginning of each period.
Future values of an ordinary annuity and an annuity due
FV (Annuity due) = FV (Ordinary annuity) x (1 + r)
Present values of an ordinary annuity and an annuity due
PV (Annuity due) = PV (Ordinary annuity) x (1 + r)
Perpetuity
A series of fixed payments made on specified dates over an indefinite period.

PVP = A / r

A = payment per period r = discount rate
Present value of unequal payments
PV = 1 / (1 + r)n
Net present value
NPV - The present value of all future net cash flows (including salvage value) discounted at the cost of capital, minus the cost of the initial investment, also discounted at the cost of capital.

If the value is positive an investment should be made.

NPV = C0 + (Ct / (1 + r)t)

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