Calculate the present value for payments of $3,500, $4,000, and $9,000 received in years 9, 10, and 11, respectively, with an interest of 5%.
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- Determine a series that represents the present value of a perpetuity of $1,000 at an annual interest rate of 6%.The present values of the following three annuities are equal: • perpetuity immediate paying 1 year year, calculated at an annual effective interest rate of 7.25%. • 50-year annuity immediate paying 1 each year, calculated at an annual effective interest rate of j%. • n−year annuity immediate paying 1 each year, calculated at an annual effective interest rate of j − 1%. Calculate n.Calculate the present value of the following single amounts. (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.) Future Value Annual Rate Interest Compounded Period Invested Present Value 1. $8,300 4 % Annually 3 years $7,378.70 2. 5,300 10 % Semiannually 6 years 4,578.35 3. 4,300 8 % Quarterly 2 years
- Determine the present value of a $3,500 perpetuity if the interest rate is 7%. If interest rates were to double to 14%, calculate the present value.If $1000 is deposited at the end of each year for 5 years into an ordinary annuity earning 8.99% compounded annually, construct a balance sheet showing the interest earned during each year and the balance at the end of each year. Complete the balance sheet. Period Amount Interest Balance 1 $1000.00 2 $1000.00 3 $1000.00 4 $1000.00 $ $4 $1000.00 $4 $ (Round to the nearest cent as needed.)Assume that you are looking at three perpetuities. Perpetuity 1 (P₁) has annual cash flows of $850 in Years 1 through infinity (1-x) and a present value at Year 0 of $10.119.047619. Perpetuity 2 (P₂) has annual cash flows of $620 in Years 11 through infinity (11 - oo) and the same effective rate as Perpetuity 1. Perpetuity 3 (P3) has annual cash flows of $780 in Years 25 though infinity (25 - 0) and the same effective rate as Perpetuities 1 and 2. Given this information, determine the value of all three perpetuities when evaluated at Year 35. $239.599.69 O $248,272.58 $245,381.62 O$242,490.65 O $254,054.51
- 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.) 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. 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.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 Annuity
- 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) Annuity Payment Annual Rate Interest Compounded Period Invested Present Value of Annuity 1. $5,200 7.0 % Annually 5 years 2. 10,200 10.0 % Semiannually 3 years $4,264.21 3. 4,200 12.0 % Quarterly 2 yearsFor each of the following cases, calculate the present value of the annuity, assuming the annuity cash flows occur at the end of each year. SEE DETAILS IN PICEvaluate the net present value of following streams of income: a. $1000 per year at an interest rate of 5% in perpetuity. b. $1000 per year at an interest rate of 5% in perpetuity. c. $1 million per year at an interest rate of 5% in perpetuity. |d. $1 million per year in perpetuity, but not beginning until year t=5 at an interest rate of 15%.
