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Answer :
Final answer:
Michelle will have approximately $1,370,436 in her retirement plan at retirement.
Explanation:
To calculate the amount Michelle will have in her retirement plan at retirement, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
- A is the final amount
- P is the principal amount (initial contribution)
- r is the annual interest rate
- n is the number of times interest is compounded per year
- t is the number of years
In this case, Michelle plans to work for 37 years (60 - 23) and the retirement plan averages a return of 8% compounded weekly. Since Michelle contributes $250 at the beginning of each month and her employer matches the contribution, the principal amount for each contribution is $500.
Using the formula, we can calculate the final amount:
A = $500(1 + 0.08/52)^(52*37)
Calculating this expression gives us approximately $1,370,436.
Learn more about calculating retirement savings with employer matching here:
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