Exam 5: Time Value of Money 2: Analyzing Annuity Cash Flows

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What is the interest rate of a 4-year, annual $1,000 annuity with present value of $3,500?

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What is the present value of a $500 deposit in year 1 and another $100 deposit at the end of year 4 if interest rates are 5 percent?

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After saving diligently your entire career, you and your spouse are ready to retire with a nest egg of $600,000. You need to invest this money in a mix of stocks and bonds that will allow you to earn $5,000 per month for 30 years. What annual interest rate (APR) do you need to earn?

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A perpetuity pays $50 per year and interest rates are 9 percent. How much would its value change if interest rates decreased to 6 percent?

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Jane has been saving $200 in her retirement account each month for the last 20 years and plans to continue contributing $200 each month for the next 20 years. Her account has been earning an 8 percent annual interest rate and she expects to earn the same rate for the next 20 years. Her twin brother, Hal, has not saved anything for the last 20 years. Due to sibling rivalry, he wants to have as much as Jane is expected to have at the end of 20 years. If Hal expects to earn the same annual interest rate as Jane, how much must Hal save each month to achieve his goal?

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What is the present value of a $1,100 payment made every year forever when interest rates are 4.5 percent?

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What annual interest rate would you need to earn if you wanted a $200 per month contribution to grow to $14,700 in five years?

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