Jane just turns 30 years old and wants to start a savings plan, where she contributes $X every month to a savings account, starting one month from now until she reaches 65 years old. From her 65th birthday, she wishes to withdraw $1500 per month for 12 months at the beginning of each month, with the first withdrawal happening on the 65th birthday. Over the next 20 years, her monthly withdrawal will increase by 3% in comparison to previous year (i.e., withdraw $1500 x 1.03 per month in the 2nd year, $1500 x 1.032 per month in the 3rd year, etc). Her last withdrawal will occur 1 month before her 85th birthday. Given that the savings account has 12% annual nominal interest rate, compounded monthly, what is X?
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- Tariq Ahmed is 25 years old and is saving for her retirement. He is planning on making 40 contributions to her retirement account at the beginning of each of the next 40 years. The first contribution will be made today and the final contribution will be made 40 years from today. The retirement account will earn a return of 12 percent a year. If each contribution he makes is $5,000, how much will be in the retirement account 40 years from now?arrow_forwardA woman is planning for retirement in 30 years and decides she can deposit $6,000 each year on December 31 into a retirement savings plan that she expects will pay 6% interest. In 20 years she also expects to receive a small inheritance of $12,000 that she can also put into her retirement fund. The woman anticipates that her retirement fund will need to last 20 years; she estimates that she will need $60,000 at the end of each year in retirement to cover her living expenses. Her plan is flawed. How much extra does she need to save every year (rounded to dollars and cents) to achieve her goals? (Do not round interim calculations)arrow_forwardAdele is planning for retirement. She would like to have $75,000 in her hand at the beginning of her first year of retirement at age 65 to live on for the year. She estimates that the amount will have to grow by 6% every year to keep up with inflation. What APR (nominal rate per year) should her retirement account earn if it is compounded continuously? She plans to deposit $21,000 on her 40th birthday and plans to keep increasing the deposits by 6% every year and till her 64th birthday. She estimates her life expectancy to be 85, meaning she would like to have the last retirement payment on her 85th birthday.arrow_forward
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