Fill in the table below when P= $10,000, S = $2,000 (at the end of four years), and i= 15% per year. What is theequivalent uniform CR?Click the icon to view the interest and annuity table for discrete compounding when the MARR is 15%er year.Complete the accompanying table. (Round to the nearest dollar.)Opportunity Costof Interest(i=15%)$Year1Investmentat Beginningof Year$10,000Loss in Valueof AssetDuring Year$3,000CapitalRecoveryAmount for Year

The opportunity cost of interest = Investment at the beginning of the year * Interest rateCapital…

Fill in the table below when P= $10,000, S= $2,000 (at the end of four years), and i=15% per year. What is the equivalent uniform CR? Click the icon to view the interest and annuity table for discrete compounding when the MARR is 15per year. Complete the accompanying table. (Round to the nearest dollar.) Opportunity Cost of Interest (i=15%) $ Year 1 Investment at Beginning of Year $10,000 Loss in Value of Asset During Year $3,000 Capital Recovery Amount for Year

Fill in the table below when P= $10,000, S= $2,000 (at the end of four years), and i=15% per year. What is the equivalent uniform CR? Click the icon to view the interest and annuity table for discrete compounding when the MARR is 15per year. Complete the accompanying table. (Round to the nearest dollar.) Opportunity Cost of Interest (i=15%) $ Year 1 Investment at Beginning of Year $10,000 Loss in Value of Asset During Year $3,000 Capital Recovery Amount for Year

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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The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(rt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?
An investments account offers a 12% annual return. If $35,000 is placed in the account for two years, by how much will the investment grow if interest is compounded (a) annually, (b) semiannually. (c) quarterly, or (d) monthly? Note: Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places. (FV of $1, PV of $1, FVA of $1, and PVA of $1) Initial Investment Annual Rate Interest Compounded Period Invested Future Value a. $ 35,000 12% Annually 2 years ped b. 35,000 12% Semiannually 2 years C. 35,000 12% Quarterly 2 years ook d. 35,000 12% Monthly 2 years nt
nt Use the compound interest formulas A = P and A = Pert to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 4.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) b.What is the accumulated value if the money is compounded quarterly? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) c. What is the accumulated value if the money is compounded monthly? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) d. What is the accumulated value if the money is compounded continuously? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.)
For each of the following cases, indicate (a) what interest rate columns and (b) what number of periods you would refer to in looking up the future value factor. (1) In Table 1 (future value of 1): Number of Annual Rate Years Invested Compounded Case A 5% 5 Annually Case B 8% 6 Semiannually Case A Case B . (a) % % (2) In Table 2 (future value of an annuity of 1): Annual Rate Number of Years Invested Compounded Case A 6% 9 Annually Case B 8% 5 Semiannually Case A Case B (b) periods periods (a) (b) % periods % periods
Consider the following investment. (Round your answers to the nearest cent.) $5,200 at 7 3 4 % compounded quarterly for 8 1 2 years (a) Find the future value of the given amount.$ (b) Interpret the future value of the given amount. After 8 1 2 years, the investment is worth $ .
Solve by using the present value formula. Round your answers (in $) to the nearest cent. CompoundAmount Term ofInvestment NominalRate (%) InterestCompounded PresentValue CompoundInterest 18,000 8 years 4.5 monthly
What is the present value of 500 received at the beginning of each year for 15 years? (Assume the first payment is received today. Use a discount rate of 10℅, and round your answer to the nearest ten.) How do i solve this on a financial calculator?
An investment offers $3,850 per year for 15 years, with the first payment occurring one year from now. a. If the required return is 6 percent, what is the value of the investment? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What would the value be if the payments occurred for 40 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What would the value be if the payments occurred for 75 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What would the value be if the payments occurred forever? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a. Present value of 15 annual payments b. Present value of 40 annual payments c. Present value of 75 annual payments d. Present value of annual payments forever
i. Find the annual payments for an ordinary annuity and an annuity due for 12 years with a PV of $1,000 and an interest rate of 10%. Round your answers to the nearest cent. Annual payment for ordinary annuity: $ Annual payment for annuity due: $ j. Find the PV and the FV of an investment that makes the following end-of-year payments. The interest rate is 10%. Year 1 Payment $100 2 $300 $500 3 Round your answers to the nearest cent. PV of investment: $ FV of investment: $ k. Five banks offer nominal rates of 9% on deposits, but A pays interest annually, B pays semiannually, C pays quarterly, D pays monthly, and E pays daily. Assume 365 days in a year. 1. What effective annual rate does each bank pay? If you deposit $3,000 in each bank today, how much will you have in each bank at the end of 1 year? 2 years? Round your answers to two decimal places. EAR FV after 1 year FV after 2 years Nominal rate $ $ Payment A A % B $ $ % B B C % $ 2. If the TVM is the only consideration, what nominal…
Suppose that you have the opportunity to receive $24,000 per year for the next 6 years. Over this time period, the APR is 7% per year. Interest is compounded on a monthly basis. How much are you willing to pay for this investment today? Round your answer to the nearest dollar. a. PVA = $113,739 b. PVA = $118,309 c. PVA = $117,309 d. PVA = $118,903
Find the accumulated value of an investment of $15,000 for 5 years at an interest rate of 1.45% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly d. compounded continuously. i Click the icon to view some finance formulas. a. What is the accumulated value if the money is compounded semiannually? (Round to the nearest cent as needed.) b. What is the accumulated value if the money is compounded quarterly? (Round to the nearest cent as needed.) C. What is the accumulated value if the money is compounded monthly? S (Round to the nearest cent as needed.) d. What is the accumulated value if the money is compounded continuously? S (Round to the nearest cent as needed.)

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