(Future value of an annuity and annuity payments) You are trying to plan for retirement in 12 years, and currently you have $210,000 in a savings account and $350,000 in stocks. In addition, you plan to deposit $9,000 per year into your savings account at the end of each of the next 6 years, and then $12,000 per year at the end of each year for the final 6 years until you retire. a. Assuming your savings account returns 8 percent compounded annually, and your investment in stocks will return 12 percent compounded annually, how much will you have at the end of 12 years? (Ignore taxes.) b. If you expect to live for 15 years after you retire, and at retirement you deposit all of your savings into a bank account paying 11 percent, how much can you withdraw each year after you retire (making 15 equal withdrawals beginning one year after you retire) so that you end up with a zero-balance at death?
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(Future value of an annuity and annuity payments) You are trying to plan for retirement in 12 years, and currently you have $210,000 in a savings account and $350,000 in stocks. In addition, you plan to deposit $9,000 per year into your savings account at the end of each of the next 6 years, and then $12,000 per year at the end of each year for the final 6 years until you retire. a. Assuming your savings account returns 8 percent compounded annually, and your investment in stocks will return 12 percent compounded annually, how much will you have at the end of 12 years? (Ignore taxes.) b. If you expect to live for 15 years after you retire, and at retirement you deposit all of your savings into a bank account paying 11 percent, how much can you withdraw each year after you retire (making 15 equal withdrawals beginning one year after you retire) so that you end up with a zero-balance at death?
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