Math Problem Statement

58 years old. have1.3 million in retirment s and p 500 funds. will recieve 2000 a month pension when 60 and 2000 a month when 62 how much can I withdraw a month in order for my savings to last until 100 years old

Solution

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Math Problem Analysis

Mathematical Concepts

Time Value of Money
Retirement Planning
Compound Interest
Annuities

Formulas

Future Value of an Investment = P * (1 + r/n)^(nt)
Withdrawal Rate = (Investment Balance * Withdrawal Percentage) / 12
Present Value of Pension = Pension * (1 - (1 / (1 + r)^n)) / r

Theorems

Compound Interest Theorem
Annuity Theorem

Suitable Grade Level

Post-Secondary/Advanced Financial Literacy