A rich aunt has promised you $3,000 one year from today. In addition, each year after that, she has promised you a payment (on the anniversary of the last payment) that is 2% larger than the last payment. She will continue to show this generosity for 20 years, giving a total of 20 payments. If the interest rate is 6%, what is her promise worth today? The present value of the aunt's promise is $. (Round to the nearest dollar)
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- A rich aunt has promised you $2 comma 000 one year from today. In addition, each year after that, she has promised you a payment (on the anniversary of the last payment) that is 3% larger than the last payment. She will continue to show this generosity for 15 years, giving a total of 15 payments. If the interest rate is 5%, what is her promise worth today? The present value of the aunt's promise isA rich aunt has promised you $1,000 one year from today. In addition, each year after that, she has promised you a payment (on the anniversary of the last payment) that is 7% larger than the last payment. She will continue to show this generosity for 25 years, giving a total of 25 payments. If the interest rate is 7%, what is her promise worth today? Your rich aunt's promise is worth $0 today. (Round to the nearest cent.) CA rich relative has bequeathed you a growing perpetuity. The first payment will occur in one year and will be $2,000. Each year after that, you will receive a payment on the anniversary of the last payment that is 3% larger than the last payment. This pattern of payments will go on forever. If the interest rate is 10% per year, a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made? a. What is today's value of the bequest? Today's value of the bequest is $ (Round to the nearest dollar.) b. What is the value of the bequest immediately after the first payment is made? The value of the bequest immediately after the first payment is made is $ (Round to the nearest dollar.)
- A rich aunt has promised you 6000 one year from today. In addition, each year after that, she has promised you a payment (on the anniversary of the last payment) that is 2% larger than the last payment. She will continue to show this generosity for 20 years, giving a total of 20 payments. If the interest rate is 8% , what is her promise worth today?A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $3000 . Each year after that, you will receive a payment on the anniversary of the last payment that is 7% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 9% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made?A friend who owns a perpetuity that promises to pay $1,000 at the end of each year, forever, comes to you and offers to sell you all of the payments to be received after the 25th year for a price of $1,001. At an interest rate of 10%, should you pay the $1,000 today to receive payment numbers 26 and onwards? What does this suggest to you about the value of perpetual payments?
- Arich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $4,000. Each year after that, you will receive a payment on the anniversary of the last payment that is 3% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 15% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made? a. What is today's value of the bequest? Today's value of the bequest is $ (Round to the nearest doliar.)An aunt gifts you with $12,000, but only after you invest it for one year. She givesyou two choices.1. Invest the entire sum at 4.2% compounded monthly.2. Invest $1000 at 7.1% each month in an annuity that pays every month.(a) What is the future value of the money invested with method 1?(b) How much interest is earned with method 1?(c) What is the future value of the money invested with method 2?(d) How much interest is earned with method 2?(e) Which method would you choose?A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $5,000. Each year after that, you will receive a payment on the anniversary of the last payment that is 5% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 9% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made?
- A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $1,000. Each year after that, you will receive a payment on the anniversary of the last payment that is 8% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 11% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made? a. What is today's value of the bequest? Today's value of the bequest is $ (Round to the nearest dollar.)A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $1000. Each year after that, on the anniversary of the last payment you will receive a payment that is 8% larger than the last payment. This pattern of payments will go on forever. If the interest rate is 12% per year: What is today’s value of the bequest? What is the value of the bequest immediately after the first payment is made?A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year andwill be $1,000. Each year after that, you will receive a payment on the anniversary of the last paymentthat is 8% larger than the last payment. This pattern of payments will go on forever. Assume that theinterest rate is 12% per year. What is today's value of the bequest?