Answered: 8. Calculating Annuity Values For each…

8. Calculating Annuity Values For each of the following annuities, calculate the future value. Annual Payment Years Interest Rate $2,100 10 8% 6,500 40 1,100 9. 5,000 30 10

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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9. Examine the time line for Now the annuity shown. 250 (1.015) 250 (1.015) 250 (1.015) E 250 (1.015)23 250 (1.015) a) What is the duration of this annuity? How can you tell? b) Determine the annual rate of interest and the number of compounding periods per year. c) Determine the present value of this annuity. d) Determine the total interest earned. ANSWER 9. a) 6 years b) 6%; 4 compounding periods per year c) $5007.60 d) $992.40 Time (3-month periods) 1 2 250 250 250 250 250 3 23 24 H-H
Present value of an annuity Consider the following cases. Case ◄AUA- E Amount of annuity $ 12.000 55.000 700 140.000 22.500 Interest rate 12 20 5 10 Period (years) a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity, mu 9 7 b. Compare your findings in parts al 1) and a(2). All else being identical, which of annuity-ordinary or annuity due-is preferable? Explain why. Personal Finance Problem Tume value-Annuities - Marian Kirk wishes to select the better of two 10-year annuines, C and D. Annuity C is an ordinary annuity of $2,500 per year for 10 years. Annuity D is an annuity due of $2,200 per year for 10 years. delen future value of both annuities at the end of year 10, assuming that
Modern Artifacts can produce keepsakes that will be sold for $50 each. Nondepreciation fixed costs are $2.900 per year, and variable costs are $30 per unit. The initial investment of $3,000 will be depreciated straight-line over its useful life of 5 years to a final value of zero, and the discount rate is 14%. (For all the requirements, do not round Intermedlate calculations. Round your answer to the nearest whole number.) a. What is the accounting break-even level of sales if the firm pays no taxes? b. What is the NPV break-even level of sales if the firm pays no taxes? c. What is the accounting break-even level of sales if the firm's tax rate is 40%? d. What is the NPV break-even level of sales if the firm's tax rate is 40%?
Estimating the annual interest rate with an ordinary annuity. Fill in the missing annual interest rates in the following table for an ordinary annuity stream. Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 10 ? $0.00 $600.00 $2,386.09 18 ? $13,278.73 $354.57 $0.00 40 ? $0.00 $1,872.79 $40,000.00 60 ? $266,564.09 $500.00 $0.00 Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 10 nothing% (Round to two decimal places.) $0.00 $600.00 $2,386.09 18 nothing% (Round to two decimal places.) $13,278.73 $354.57 $0.00 40 nothing% (Round to two decimal places.) $0.00 $1,872.79 $40,000.00…
11. For each annuity, calculate the future value and the interest earned. Rate of Compound Regular Interest Compounding Payment per Year Period Time a) $2500 per year 7.6% annually 12 years b) $500 every 6 months 7.2% semi-annually 9.5 years c) $2500 per quarter 4.3% quarterly 3 years
Find the future value of the ordinary annuity. PMT= $2500, i = 7.4% interest compounded quarterly for 15 years A. $270,775.36 B. $405,910.50 C. $64,792.52 D. $398,537.55
8a. Compute the future value of a $100 annual annuity for the same combination of rates and time periods: (Round your answers to the nearest cent. Round FVA factors to 4 decimal places.) a. r = 8%, t = 10 years FV of annuity $ b. r = 8%, t = 20 years FV of annuity $ c. r = 4%, t = 10 years FV of annuity $
Future Value of an Annuity Calculate the future value. Present Value Interest Rate $0.00 10% monthly Payments $475.00 monthly Number of Payments per Year: PY= a. Determine the annuity type. O Ordinary Simple Annuity O Ordinary General Annuity O Simple Annuity Due O General Annuity Due b. Identify the following pieces of information to be used to calculate the future value of the annuity. Periodic Payment: PMT Total Number of Payments: N= Annual Interest Rate: r = Number of Compoundings per Year: CY c. Determine the future value of the annuity. Timing of Payment Years End 19 = Future Value ???
For each of the following annuities, calculate the annuity payment. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Annuity Payment Future Value $ $ $ $ 25.450 1,090,000 928,000 145,000 Years 8 39 25 14 Interest Rate 4% 6 7
What is the future value of an annuity due of $800 paid semi-annually for the next 7 years, with a yield of 5% p.a. compounded semi-annually? Select one: a. $13,215.16 b. $6,923.22 c. $11,200.00 d. $13,545.54
Use the ordinary annuity formula shown to the right to determine the accumulated amount in the annuity. $700 invested monthly for 40 years at a 4.0% interest rate compounded monthly A=p1+rnn•t−1rn The accumulated amount will be

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