Term
future value (FV) or compound value |
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Definition
the value of a sum after investing over one or more periods |
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Net Present Value of Investment (NPV) |
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the process of leaving the money in the financial market and lending it for another year |
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Future Value of an Investment |
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the process of calculating the present value of a future cash flow/opposite of compounding |
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factor used to calculate the present value for a future cash flow |
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Present Value of an Investment |
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NPV of a T-period project |
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Definition
NPV = -C0 + ∑Ti=0 Ci/(1+r)i |
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stated annual interest rate |
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Definition
annual interest rate without consideration of compounding. Also called annual percentage rate (APR) |
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Future Value with Compounding |
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compound every infinitesimal instant
C0 x ert
C0 = initial investment
r = stated annual interest rate
T = number of years
e = 2.718 |
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Definition
constant stream of cash flows without end
C
r |
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cash flow stream that continually rises
PV = C
r - g
r= appropriate discount rate
g = rate of growth per period
C = cash flow to be received one period hence |
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Three important points concerning the growing perpetuity formula |
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Definition
- The numerator
- The discount rate and the growth rate
- The timing assumption
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level stream of regular payments that lasts for a fixed number of periods. One of the most common kinds of financial instruments (pensions, leases, mortgages) |
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Formula for Present Value of Annuity |
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Definition
PV = C[ 1 - __1__ ]
___(1 + r)T
r |
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