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References in periodicals archive ?
Therefore, the simple formula for the present value of an n-period annuity due is just the simple formula for the present value of an n-period ordinary annuity (equation PV7) multiplied by (1 + r), or:
The future value calculation of an ordinary annuity can be derived directly from the formula for the present value of an ordinary annuity by substituting the present value of a lump sum formula for PV into the present value of the formula for an ordinary annuity and solving for FV.
Using Valuation Tables--The future value of a level ordinary annuity due can also be calculated using the tables for the future value of an ordinary annuity contained in Appendix F.
Analogous to the derivation of the present value of an annuity due formula, the future value of an annuity due formula is just the future value of an ordinary annuity formula multiplied by (1 + r):
The future value of an inflation-adjusted annuity due can be determined by simply multiplying the future value of the ordinary annuity by (1 + r):
Equation Pmtl' shows the formula for computing the initial payment amount for an inflation-adjusted ordinary annuity based upon a given present value:
The formula to determine the present before-tax value one needs to invest in a tax-deductible, tax-deferred plan to generate after-tax ordinary annuity payments is:
The present after-tax value one needs to invest in a nondeductible, tax-deferred investment to generate a series of periodic level after-tax ordinary annuity payments cannot be simplified to a single reduced-form equation similar to the future after-tax value formula.