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The Time Value of Money

The concept of the time value of money revolves around understanding how the value of money changes over time due to interest rates and payment patterns. To solve these problems, it'

The Time Value of Money

The Time Value of Money

Special Considerations in Time Value Analysis

Patterns of Payment
Time value of money problems may evolve around a number of different payment or receipt patterns

The factor for i

Is then determined by dividing the quoted annual interest rate by the number of compounding periods

To determine n

Multiply the number of years by the number of compounding periods during the year

Determining the Yield on an Investment

Present Value of an Annuity
Same type of approximated or interpolated yield that applied to a single amount can also be applied

PVIFA=PVA/A

Presenr Value of a Single Amount
The determination of PVIF does not give us the final answer, but it scales down the problem so we may ascertain the answer

PVIF=PV/FV

Present Value

Each individual payment is discounted back to the present and then all of the discounted payments are added up

P[(1-(1+i)^-1/i)]

Formula derived from the original formula for future value

FV[I/(1+i)^n]

Future Value

Annuity
Series of consecutive payments or receipts of equal amount

FVA = P * ([1 + I]^N - 1 )/I

Single Amount
Measure the value of an amount that is allowed to grow at a given interest rate over a period of time

FV = PV(1 + i)^n