ssume that you are looking at three perpetuities. Perpetuity 1 (P₁) has annual cash flows of $850 in ears 1 through infinity (1 - 0o) and a present value at Year 0 of $10,119.047619. Perpetuity 2 (P₂) as annual cash flows of $620 in Years 11 through infinity (11 - oo) and the same effective rate as erpetuity 1. Perpetuity 3 (P3) has annual cash flows of $780 in Years 25 though infinity (25 - ∞) nd the same effective rate as Perpetuities 1 and 2. Given this information, determine the value of Il three perpetuities when evaluated at Year 35.
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- Exhibit 1-B Future value (compounded sum) of $1 paid in at the end of each period for a given number of time periods (an annuity) 1% 3% 1.000 2.030 Period 2% 4% 5% 6% 7% 8% 9% 10% 11% 1 1.000 2.020 3.060 4.122 5.204 6.308 7.434 1.000 2.040 3.122 1.000 2.050 3.153 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2.010 3.030 2.070 3.215 4.440 5.751 2.090 3.278 4.573 5.985 2.100 3.310 4.641 6.105 7.716 9.487 2.110 3.342 4.710 6.228 7.913 2.060 2.080 3 3.184 4.375 3.091 3.246 4.184 5.309 6.468 7.662 4 4.060 4.246 4.310 4.506 5.101 5.416 6.633 7.898 9.214 10.583 12.006 13.486 15.026 16.627 18.292 20.024 21.825 23.698 25.645 27.671 29.778 41.646 56.085 5.526 5.637 5.867 6.975 8.394 7.336 8.923 6.152 6.802 7.153 7.523 7 7.214 8.142 8.654 9.200 9.783 8.583 11.028 13.021 15.193 17.560 20.141 22.953 8.286 10.260 11.436 13.579 11.859 14.164 16.722 8. 8.892 9.549 9.897 10.637 9.369 9.755 10.159 11.027 11.491 11.978 12.488 12.578 14.207 10 10.462 10.950 11.464 13.181 13.816 14.487 15.937 12.169 13.412…Tran Lee plans to set aside $2,200 a year for the next six years, earning 8 percent. What would be the future value of this savings amount? Use Exhibit 1-B. (Round time value factor to 3 decimal places and final answer to 2 decimal places.) Future valueProblem 7. The present value of a perpetuity paying 1 at the end of every 5 years is 0.67. Find the annual effective rate of interest i. A. 5.01% B. 11.45% C. 24.05% D. 20.04% E. 30.06%
- Problem 8. What is the equivalent worth in year 5 of the following series of income and disbursements, if the interest rate is 10% per year? Year Income, S 0 0 1-5 6000 6-8 6000 9-14 8000 Answer: Equation: CFD: Expense, S 9000 6000 3000 5000Question 14.05 Consider two annuities that have the same yield and make annual payments. The first annuity is a level n-year annuity-due, and its Macaulay duration is 3. The second annuity is a level n-year annuity-immediate, and its Macaulay duration is X. E 4.50 Calculate X. A 3.00 B 3.25 C 3.50 D 4.00Determine the future value of the following single amounts: Invested Amount Interest Rate No. of Periods1. $ 15,000 6% 122. 20,000 8 103. 30,000 12 204. 50,000 4 12
- What is the future value at the end of year three of the following set of cash flows at an interest rate of 10% p.a. compounded annually? End of Year 1 $5,100 End of Year 2 $2,300 End of Year 3 $1,150 Select one: a. $8,550 b. $9,966 c. $9,851 d. $9,581Calculate 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 yearsCalculate 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 Annuity
- 2. Consider the data in the following table: Perpetuity Annual amount discount rateA 100,000 10B 3,000 6 Determine the present value of each perpetuity.Problem 6: Calculate the present values at t = 0 (now) of the following cash flows: a. $100 every year forever, with the first payment at t = 1 (t counts years), where the effective annual rate is .05 (i.e., 5%). b. $100 every year forever, with the first payment at t = 11 (t counts years), where the effective annual rate is .05 (i.e., 5%). Hint: What will be the value of this stream at t = 10 (ten years from now) if the discount rate remains 5%? To get the value at t = 0, discount this single value back 10 years at 5%. %3DIllustration 1 Calculate the future value of the following cash flow if it is invested @ 8% interest p.a. At the end of each year Amount Deposited 1 2,000 4,000 3. 6,000 4 8,000