Your rich aunt has promised to give your $5200 in 4 years. How much should you be willing to receive today (in lieu of the $5200 in 4 years) if you can earn 12% per annum, compounded semi-annually? (Round to nearest penny, e.g. 1234.56)
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Your rich aunt has promised to give your $5200 in 4 years. How much should you be willing to receive today (in lieu of the $5200 in 4 years) if you can earn 12% per annum, compounded semi-annually? (Round to nearest penny, e.g. 1234.56)
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- To save for a down payment on a home, suppose you decide to invest in an annuity that pays 7.0% annual interest, compounded annually. If you contribute $8,000 every year for 5 years, how much interest would you earn during the 5years? Enter your answer, rounded to the nearest cent, without the dollar sign or comma ($21,678.1235 should be entered as 21678.12.)1. What is the amount you would have to deposit today to be able to take out $2070 a year for 2 years from an account earning 14 percent. 2. If you desire to have $38300 for a down payment for a house in 11 years, what amount would you need to deposit today? Assume that your money will earn 4 percent.Suppose you invest in an annuity that pays 6% interest, compounded annually. You contribute $4,500 each year for 10 years, what is the value of the annuity at the end of 10 years? Enter your answer rounded to the nearest hundred dollars. Omit the dollar sign and comma ($42,570.21 should be entered as 42600.)
- 1) What is the maximum that you would be willing to loan your brother for a $100 IOU if he promises to pay you back at the end of the year? You want to earn an annual rate of return of 12%. A) $82.00 B) $89.29 C) $92.73 D) $88.00An 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?Your uncle is trying to figure out how much he has to have set aside today to pay for his son's undergraduate education. The first payment is due tomorrow. Tuition is $15,000 per year for the next four years, with payment due always at the beginning of each academic year. a, what's the EAIR if a 6% rate compounded semi-annually? % (2 decimals) b, what's the present value of annuity excluding the first payment?$ (2 decimals) c, how much should your uncle have set aside today in order to pay for four years of tuition assuming he can invest his money at a 6% rate compounded semi-annually?$
- Your uncle is about to retire, and he wants to buy an annuity that will provide him with $97,000 of income a year for 20 years, with the first payment coming immediately. The going rate on such annuities is 5.45%. How much would it cost him to buy the annuity today? a. $1,192,059.14 b. $1,164,011.03 c. $1,195,837.87 d. $1,261,011.03 e. $1,227,449.632. 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 the25th year for a price of $1,000. At an interest rate of 10%, should you pay the $1,000today to receive payment numbers 26 and onwards? What does this suggest to youabout the value of perpetual payments?You are scheduled to receive $19,000 in two years. When you receive it, you will invest it for six more years at 9.5 percent per year. How much will you have in eight years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Account value
- 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?. An investor requires an annual (year-end) income of $15,000 in perpetuity. Assuming a fixed rate of interest of 4% each year, and ignoring administrative charges, what is the sum required now to purchase the annuity? Give your answer to the nearest $. 2. A saver invests $1,500 now and at the end of each of the next 4 years. If the interest rate is 6%, what is the present value (to 2 decimal places) of this investment? (Use tables)(e) You borrow an amount and agree to pay it off with one lump sum payment of $40,000 in 6 years at 10%. How much will you borrow?