In: Finance
Uriah Heep celebrated his 18th birthday by opening a savings account at the Thames River Bank and depositing
$1,700.
He continued to deposit the same amount on every subsequent birthday until he was
31
years old. After depositing
$1,700
on his
31st
birthday Uriah decided to abandon his savings plan. He never saved again, but he left the accumulated savings in the bank account. The bank paid an interest rate of
10.5%.
When Uriah turned 65, he withdrew the money from the bank. What was the amount of his withdrawal?
What was the amount of Uriah's withdrawal when he turned 65?
Solution:-
Time (n) = 31st Birthday - 17th Birthday = 14 years
First we need to calculate total Amount Abandon to his saving plan-
Amount on his 31st Birthday =
Amount on his 31st Birthday =
Amount on his 31st Birthday =
Amount on his 31st Birthday =
Amount on his 31st Birthday = $1,700 * 29.01361
Amount on his 31st Birthday = $49,323.13
Total Amount Abandon to his saving plan as on 31st Birthday is $49,323.13
To Calculate the amount of Uriah's withdrawal when he turned 65 -
Time (n) = 65th Birthday - 31st Birthday = 34 years
Withdarwal Amount = Amount on his 31st Birthday * (1 + r )n
Withdarwal Amount = $49,323.13 * (1 + 0.105 )34
Withdarwal Amount = $49,323.13 * 29.8069
Withdarwal Amount = $14,70,171.78
The amount of Uriah's withdrawal when he turned 65 is amounting to $14,70,171.78.
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