(Calculating the present value of an annuity due) What will be the present value of annuity due of £800 a year for 12 years, discounted back to the present at an annua rate of 5 percent? What will be the present value of this annuity if the discount rate
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- 3. Suppose you make an annual contribution of $2,000 to your savings account at the beginning of each period (annuity due). If your savings account earns 6% interest annually, how much can be withdrawn at the end of five years?9. In how many years will $1,500 yield an interest of 5200 at 2% simple interest?6) Two annuities in perpetuity have the same effective annual interest rate. The first annuity pays $40 every 5 years, starting at the end of the 10th year and has present value $100. The second annuity pays $20 at the end of each 3 months, starting at the beginning of the first three months. Find the present value of the second annuity.
- 7. Consider a cash flow series of 40 payments. The first 20 payments are $1,000 per year and the last 20 payments are $2,000 per year. At 6% interest what is the present value of the cash flow series?2) Two annuity dues in perpetuity have a common present value of $2, 000 and a common effective anmual interest rate i. The first anmuity makes payments of $100 at the beginning of every three years and the second makes payments of X at the beginning of every three months. Find X.1. Mary buys a 20 year annuity immediate for $100,000 subject to 6% effective annual interest rate. The first payment is one year from the time of purchase. Mary reinvests each of the 20 payments, as soon as she received them at the end of each year, into a fund that earns 8% interest on deposits. What is the accumulated amount in Mary's fund right after the 20th annuity payment has been deposited into the fund?
- 5 Question Let Y be the present value of an 11-year term continuous annuity of $1 per year for an insured aged.x. Let х,п Y be the present value of a whole life continuous annuity of $1 per year for an insured aged.x. Given a constant force of interest, 8, show that: ()]))/(b8. What is the future value of a 7%, 5-year ordinary annuity that pays $300 each year?QUESTION 1 Muhammad takes out a loan of $ 2,130, at 8% simple interest, for 8 years. How much will he pay back at the end of year 8? QUESTION 2 Calculate the amount of interest on an investment of AED 103,971 at 8% simple interest for 5 years. QUESTION 3 If you deposit today $7,335 in an account for 6 years and at the end accumulate $10,885, how much compound interest rate (rate of return) you earned on this investment ? QUESTION 4 You will deposit 12,025 at 10% simple interest rate for 9 years, and then move the amount you would receive to an investment account at 12 % compound rate for another 3 years. How much money would you have at the end of the entire period ?
- 13. Find the net present value of the following cash flows, which can be purchased by an initial investment of $7,000. Assume that interest is at 7% compounded semiannually. Year Cash Flow 2 $3,400 4 $3,500a. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded quarterly? b. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded monthly? c. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded daily? d. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded continuously? e. At what compounding period does the effective annual interest rate very closely approximate continuous compounding? (Consider to the nearest 0.0001)Fact 21 Eileen has 2.5% of her earnings deposited into her retirement plan. If $150 per month is deposited in the plan, find ner monthly and yearly earnings. 8. Her monthly earnings are $ (Round to the nearest cent as needed.) Her yearly earnings are $ (Round to the nearest cent as needed.) 09 C.SU7 365 https://xlitemprod.pearsoncmg.com/api/v1/print/math