Question

Tony Robbins’ wealth strategy: save $300 per month from age 20 to age 30 (i.e. 10 years), and then you stop making any monthly deposits, and you leave the account alone until you are 65 years old (i.e. leave it alone for 35 years).

Question Three: At 65 years old, you have saved up a lot of money. Now, you’re retired and want to take out a monthly annuity payment from the account, such that at age 95 the value of the account is zero. If you live to 96, you’ll move in with the kids. If the account still earns 8.000%(A), what is the monthly payment you can withdraw.

Answer in $, to two decimal places i.e. $x,xxx.xx

Answer 1

Question 2:

P = Monthly savings = $300

n1 = 10*12 = 120 months

n2 = 35 * 12 = 420 months

r = monthly interest rate = 8%/12 = 0.66666667%

Account balance at 65 = [P *[(1+r)^n - 1] / r] * (1+r)^n2

= [$300 * [(1+0.66666667%)^120 - 1] / 0.66666667%] * (1+0.66666667%)^420

= $300 * 182.946167 * 16.2925726

= $894,199.113

Therefore, Account balance at 65 is $894,199.11

Question 3:

PV = Account balance at 65 = $894,199.11

n = 30 *12 = 360 months'

r = monthly interest rate = 8%/12 = 0.66666667%

Monthly Amount Withdrawl = [r * PV] / [1 - (1+r)^-n]

= [0.66666667% * $894,199.11] / [1 - (1+0.66666667%)^-360]

= $5,961.3274 / 0.908556737

= $6,561.31551

Therefore, monthly amount to withdraw is $6,561.32