Asked by prathik chukkapalli on Sep 22, 2024

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Sam will contribute $200 to his RRSP at the end of each month for 15 years and then raise his monthly contribution to $500 at the end of each month for the subsequent 20 years. If his investments earn 11.7% compounded monthly, what will be the value of the investments after the last $500 contribution is made 35 years from now?

A) $1,186,877
B) $572,207
C) $1,471,930
D) $521,751
E) $285,054

RRSP

Registered Retirement Savings Plan, a Canadian investment account for holding savings and investment assets, aimed at providing retirement income.

Contributions

Money, time, or resources given to support a cause, organization, or project.

  • Foster the capability to understand and calculate the anticipated future values of investments with ongoing contributions.
  • Grasp the significance of interest rates and compounding frequency in the acceleration of investment growth.
  • Understand and calculate the effects of changing contribution rates and investment periods on the future value of savings.
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MS
Mahesh Silwal2 days ago
Final Answer :
C
Explanation :
The value of Sam's investments after 35 years can be calculated using the future value of a series formula for annuities, considering the change in monthly contributions after 15 years. For the first 15 years, with a monthly contribution of $200 and an annual interest rate of 11.7% compounded monthly, the future value can be calculated. Then, for the next 20 years, with a monthly contribution of $500 and the same interest rate, the future value of this series is calculated, adding the accumulated value from the first period. The correct calculation leads to a total future value of approximately $1,471,930, making option C the correct answer.