Future Value Of An Annuity
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Definition of 'Future Value Of An Annuity'
The value of a group of payments at a specified date in the future. These payments are known as an annuity, or set of cash flows. The future value of an annuity measures how much you would have in the future given a specified rate of return or discount rate. The future cash flows of the annuity grow at the discount rate, and the higher the discount rate, the higher the future value of the annuity.
This calculation is useful for determining the actual cost of an annuity to the issuer:
C = Cash flow per period
i = Interest rate
n = Number of payments
This calculates the future value of an ordinary annuity. To calculate the future value of an annuity due, multiply the result by (1+i). (Payments start immediately instead of one period into the future.)
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Investopedia explains 'Future Value Of An Annuity'
The basis is that providing a lump sum of $5,000 today costs more than providing a cash flow of $1,000 per year for five years. This is because if you provide the lump sum today, you could have invested it and received an additional return.
Using this example, and assuming a discount rate of 6%, the future value of an annuity that pays $1,000 per year for five years is $4,212 (1,000*[(1+0.06)5-1/0.06]=5,637). This means that if you could get a return on your invested funds of 6% per year, providing an annuity of $1,000 per year would be worth $637 ($5,637-$5,000) more to the issuer than giving a lump sum.
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Search results for 'Future Value Of An Annuity'
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http://www.investopedia.com/articles/03/101503.asp
... The future value of annuity formula would then read: Therefore, ... Check out
our Future Value Annuity Due Calculator to save some time. ...
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http://www.investopedia.com/exam-guide/cfa-level-1/quantitative-methods/time-value-money-calculations.asp
... Effective, Modified, and Macaulay Duration; 14.49 Convexity; 14.50 Price Value of
a ... 15.5 Forward Contracts; 15.6 Future Contracts; 15.7 Options: Calls and Puts; ...
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http://www.investopedia.com/articles/retirement/10/rules-converting-ira-annuity-to-roth.asp
... the contract is valued at the fair market value of a comparable current contract
with the same future payout schedule, assuming that the annuity carrier offers ...
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http://www.investopedia.com/articles/pf/06/annuities.asp
... Exploring Types Of Fixed Annuities, Personal Pensions: Repackaging The Annuity and
Anything But Ordinary: Calculating The Present And Future Value Of Annuities ...
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http://stocks.investopedia.com/stock-analysis/2009/The-Annuity-Gorilla-In-The-Room-MFC-HIG-PRU-LNC-AIG0629.aspx
... in taking money from annuity buyers, investing it in stocks, and hoping that the
future value of that stock portfolio would exceed the annuity liabilities in ...
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http://www.investopedia.com/exam-guide/cfa-level-1/quantitative-methods/time-value-money-applications-calculations.asp
... Effective, Modified, and Macaulay Duration; 14.49 Convexity; 14.50 Price Value of
a ... 15.5 Forward Contracts; 15.6 Future Contracts; 15.7 Options: Calls and Puts; ...
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http://www.investopedia.com/university/advancedbond/advancedbond2.asp
... the need to add all the present values of the future coupon. The following diagram
illustrates how present value is calculated for an ordinary annuity: ...
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http://www.investopedia.com/exam-guide/series-7/getting-started/time-value-of-money.asp
... 6.13 Valuing a Variable Annuity Contract; 6.14 Real Estate Investment Trusts (REITS). ...
the present value by the factor to find the future value, you divide future ...
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http://www.investopedia.com/articles/pf/06/variableannuity.asp
... receive the higher of your account's value or the ... a minimum payment when the annuity
is annuitized ... The guaranteed future payment is calculated by compounding ...
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http://www.investopedia.com/articles/retirement/07/annuity-benefits-fine-print.asp
... However, in most cases, annuity withdrawals in the early ... 50 to 75 basis points of
contract value, a GMIB ... This establishes a "floor" of future retirement income ...
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