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Your 40-year clients, who have a 12-year old child, plan to retire at the age of 62. Assume 360-day year and 30-day month in your
Your 40-year clients, who have a 12-year old child, plan to retire at the age of 62. Assume 360-day year and 30-day month in your calculations. | ||||||||
They have a current salary at an annual rate of ($11,000*last digit of your 8-digit UMID + $100,000), being paid equally at the end of each month. | ||||||||
They expect a 3% raise in their salary every year until they retire. | ||||||||
They deposit 12% of their monthly salary to their 401(k) account that generates an annual rate of return of 10%, compounded daily. | ||||||||
In addition, their employer matches their contribution with 5% of their salary to the same 401(k) account. | ||||||||
Q1 | Determine the cash flows pattern of the total monthly contributions to the 401(k) | |||||||
account within each year; and calculate and explain precisely your choice of interest rate, i.e., EAR/EPR/PER, | ||||||||
used in your analysis. And calculate the year-end value of the 401(k) contributions for each year. | ||||||||
Q2 | Determine the pattern of the year-end values of the 401(k) contributions across years; | |||||||
and calculate and explain precisely your choice of interest rate, i.e., EAR/EPR/PER, used in your analysis. And calculate their 401(k) account balance upon their retirement. |
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