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.
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.
Chapter3: Income Sources
Section: Chapter Questions
Problem 39P
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Paola purchases a 10 year
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