Assume that you are 30 years old today, and that you are planning on retirement at age 65. Your current salary is $40,000 and you expect your salary to increase at a rate of 4% per year as long as you work. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 9% of this year's salary. Likewise, you expect to deposit 9% of your salary each year until you reach age 65. Assume that the rate of interest is 7%. a. Compute the future value at retirement (age 65) of your savings. b. At retirement (age 65) you will begin withdrawing equal annual payments to pay for your living expenses during retirement with the first withdrawal on your 65th birthday. If you expect to die one day before your 101st birthday (Your last withdraw will be on your 100th birthday), then how much money will you have to spend in each of your golden years of retirement?
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