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Simple Interest
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Compound Interest
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Accumulation Function
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The accumulated value of the fund at time t of an initial investment.
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Sum of a Geometric Progession
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Effective Rate of Interest
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Regular i. Tells us how fast a fund is growing based on the amount in the fund at the beginning of the year.
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Effective Rate of Discount
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Regular d. Tells us how fast a fund is growing based on the amount in the fund at the end of the year.
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Present Value
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Amount at time 0. How much should we invest today in order to have a given amount at the end of t years?
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Discount to Interest Relationship
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Nominal Rate of Interest
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Cannot be directly used to calculate. "compounded" & "convertible". First we convert according to the number of compounding periods.
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Nominal Rate of Discount
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Cannot be directly used to calculate, we need to convert to an effective rate.
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Force of Interest
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Rate of growth at any time**U-substitution**variable means integrate from a to b**=
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Constant Force of Interest
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Time Value of Money
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Always use a common comparison date
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Equation of Value
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?
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Inflation
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