Question: How did they get this answer What is the equal annual amount of money you have to save to guarantee yourself an annual income to

How did they get this answer  How did they get this answer What is the equal annual
amount of money you have to save to guarantee yourself an annual

What is the equal annual amount of money you have to save to guarantee yourself an annual income to perpetuity of $55,000 starting in 42 years from now? You make the first payment in two years from now and the last payment in 42 years (i.e., you make payments at t 2, 3,4,.42; and you will receive the first payment of the perpetuity at t 42). Assume an interest rate of 7% (EAR). The present value of the perpetuity: $55,000 1 !(14 4T]- 1.0741 = $49,037.66 0.07 The present value of the perpetuity must be equal to the present value of your contributions to your bank account. You make 41 payments starting in year 2. $49,037.66 0.07 11- C = $3,917.41 (1 + 0.07)41-107

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