P100 is received at the end of one year, P500 at the end of two years, and P1000 at the end of three years. What is the aggregate present value of these receipts, assuming a discount rate of (i) 4 percent?
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- What is the present value of payments that are: year 0: 5000, year1: 10000, year2: 12500, year3: 15000? Discount factor 11%.1. Assume that $1,000 is to be received 30 years from today. Compare the present values obtained using 0.05 and ó.20 as rates of discount.If the present value of $444 to be paid at the end of one year is $400, what is the one-year discount factor?
- (Present value) What is the present value of the following future amounts? a. $900 to be received 10 years from now discounted back to the present at 11 percent. b. $300 to be received 6 years from now discounted back to the present at 8 percent. c. $1,150 to be received 11 years from now discounted back to the present at 5 percent. d. $1,100 to be received 4 years from now discounted back to the present at 19 percent. a. What is the present value of $900 to be received 10 years from now discounted back to the present at 11 percent? $nothing (Round to the nearest cent.)If the principal is 124,860 and the future value is 182,568 what is the value of the single payment present worth factor?What is the present value of $2,100 to be received 14 years from now assuming a discount rate of 3.7% during the first 4 years, and a discount rate of 5.8% for the remainder of the period?
- What is the present value of the following cash flows if the discount rate is at 5%? You receive 100 today, 200 in each of next 3 years (Year 1,2,3) and 150 in each of the next following 2 years (Year 4,5)? Enter your answer in absolute number with 2 decimal places.You are comparing two annuities. Annuity A pays $115 at the end of each year for 5 years. Annuity B pays $105 at the beginning of each year for 5 years. The rate of return on both annuities is 12 percent. Which one of the following statements is correct given this information? Annuity B has both a higher present value and a higher future value than Annuity A. O Annuity A has both a higher present value and a higher future value than Annuity B. O Annuity A has the same present value and future value as Annuity B.The appropriate discount rate for the following cash flows is 7.83 percent per year. Year Cash Flow 1 $ 2,570 2 0 3 4,010 4 2,260 What is the present value of the cash flows? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)
- Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Annual Payment Rate $4,700 6.0 % 8.0 % 7,700 6,700 10.0 % Show Transcribed Text 1. 2. 3. Annuity Annual Payment Rate Interest Compounded Quarterly Annually Semiannually $ 5,700 Interest Compounded 8.0 % Quarterly 10,700 11.0% Annually 4,700 10.0 % Semiannually Period Invested 5 years 6 years 9 years Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) $ Period Invested 2 years 5 years 3 years Future Value of Annuity 172,892.28 Present Value of AnnuityCalculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) Annuity Payment Annual Rate Interest Compounded Period Invested Future Value of Annuity 1. $3,100 8.0 % Semiannually 9 years $79,500.77 2. 6,100 10.0 % Quarterly 5 years 3. 5,100 12.0 % Annually 6 years2. The following are exercises in present values: a. $100 at the end of three years is worth how much today, assuming a discount rate of (i) 100 percent? (ii) 10 percent? (iii) 0 percent? b. What is the aggregate present value of $500 received at the end of each of the next three years, assuming a discount rate of (i) 4 percent? (ii) 25 percent? C. $100 is received at the end of one year, $500 at the end of two years, and $1,000 at the end of three years. What is the aggregate present value of these receipts, assuming a discount rate of (i) 4 percent? (ii) 25 percent? d. $1,000 is to be received at the end of one year, $500 at the end of two years, and $100 at the end of three years. What is the aggregate present value of these receipts assum- ing a discount rate of (i) 4 percent? (ii) 25 percent? e. Compare your solutions in Part (c) with those in Part (d) and explain the reason for the differences.