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 fırst 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?$
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- You would Ilike to have $59,000 in 5 years for the down payment on a new house following graduation by making deposits at the end of every three months in an annuity that pays 4.25% compounded quarterly. (a) How much should you deposit at the end of every three months? (b) How much of the $59,000 comes from deposits? (c) How much of the $59,000 comes from interest? (Round UP to the nearest dollar. For example, $247) OPensyrooo n 21 l 1e0 (6)' s 6Tei 0hcc doirdW (b)Saaviz wDi 26. 7 1 0 59.000 6 00You would like to have $59,000 in 5 years for the down payment on a new house following graduation by making deposits at the end of every three months in an annuity that pays 4.25% compounded quarterly. (a) How much should you deposit at the end of every three months? (b) How much of the $59,000 comes from deposits? (c) How much of the $59,000 comes from interest? (Round UP to the nearest dollar. For example, $247) () afSuppose a friend tells you about an annuity that pays 6% annual interest, compounded semi-annually. You invest in the annuity contributing $10,000 semiannually for 6 years. What is the value of the annuity after your last investment? Enter your answer rounded to the nearest hundred dollars and omit the dollar sign and comma (For example, $42,570.21should be entered as 42600.)
- 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.)What is the value of a 30-year annuity that pays $2500 a year? The annuity’s first payment will be received on year 11. Also, assume that the annual interest rate is 4 percent for years 1 through 10 and 5 percent hereafter.You would like to have $25,000 in 5 years for the down payment on a new house following college graduation by making deposits at the end of every three months in an annuity that pays 4.25% compounded quarterly. How much should you deposit at the end of every three months? How much of the $25,000 comes from deposits and how much comes from interest?
- You would like to have $37,000 in 5 years for the down payment on a new house following college graduation by making deposits at the end of every three months in an annuity that pays 4.25% compounded quarterly. How much should you deposit at the end of every three months? How much of the $37,000 comes from deposits and how much comes from interest?a. You plan to invest $5,000 in an individual retirement arrangement today at a nominal annual interest rate of 10%, which is expected to apply to all future years. 1. How much you will have in the account at the end of 15 years if interest is compounded (1) annually? (2) Semiannually? (3) Quarterly and (4) daily (assume a 365-day a year)? 2. Compute effective annual rate and explain the relationship exists between compounding frequency and the nominal and effective annual rates ?. 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)
- Compute the present value of a perpetuity that pays $6,744 annually given a required rate of return of 9 percent per annum. Round your answer to 2 decimal places; record your answer without commas and without a dollar sign. Answer Question 4 Assume that you deposit $3,956 each year for the next 15 years into an account that pays 20 percent per annum. The first deposit will occur one year from today (that is, at t = 1) and the last deposit will occur 15 years from today (that is, at t = 15). How much money will be in the account 15 years from today? Round your answer to 2 decimal places; record your answer without commas and without a dollar sign.At the end of each of the past 14 years, Vanessa deposited $450 in an account that earned 8% compounded annually. How much is in the account today? How much would be in the account if the deposits were made at the beginning of each year (PMT Type) than at the end of each year? (Use Future Value of an Annuity) Suppose your opportunity cost (interest rate/year) is 11% compounded annually. How much must you deposit in an account today if you want to pay yourself $230 at the end of each of the next 15 years? How much must you deposit if you want to pay yourself $230 at the beginning of each of the next 15 years? Bruce invested $1,250 (present value - enter as a negative number) 10 years ago. Today, the investment is worth $3,550 (future value). If interest is compounded annually, what annual rate of return did Bruce earn on his investment? (Use Solving for r - Rate of Return- on a Lump Sum) Mario wants to take a trip that costs $4,750 (future value), but currently he only has $2,260…b) Suppose you begin saving for your retirement by depositing $2,000 per year in an IRA. If the interest rate is 7.5%, how much will you have in 40 years if the payments are made: at the end of the year (ordinary annuity)? at the beginning of the year (annuity due)?