Paola purchases a 10 year annuity immediate with an annual effective rate of interest of 7.0718% and annual payments of 10x. Kurt purchases a 10 year decreasing annuity immediate with annual payments and an effective rate of interest of 7.0718%. His first payment is $50 and subsequent payments are reduced by an amount equal to X. Both annuities have the same present value. Calculate X.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Paola purchases a 10 year annuity immediate with an annual effective rate of interest of 7.0718% and annual payments of 10x. Kurt purchases a 10 year decreasing annuity immediate with annual payments and an effective rate of interest of 7.0718%. His first payment is $50 and subsequent payments are reduced by an amount equal to X. Both annuities have the same present value. Calculate X.

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