Question

Your uncle has $500,000 and wants to retire. He expects to live for another 30 years and to earn 6.5% on his invested funds. How much could he withdraw at the end of each of the next 30 years and end up with zero in the account

Answer 1

Answer:

$38, 288.718

Explanation:

The amount to be withdrawn at the end of each year, for  30 years

The amount of $500,000 represents the present value while yearly withdraws the annuities.

We use a revised formula for calculating annuities.

Applicable formula is

P   = PV × r/( 1 − (1+r)−n

P = annual withdrawals

PV  = $500,000

r = 6.5%

n 30

P = 500,000 x( 0.065/ ( 1- (1 + 0.065) -30)}

p = 500,000 x (0.065/ (1-1+.065)-30)

p= 500,000 x (0.065 / 1-0.1511860661)

P =500,000 x (0.065 /0.848814)

P= 500,000 x 0.076577436

Yearly withdrawals  = $38, 288.718