Don not solve list the objective function and contraints using variables Information on a prospective investment for Wells Financial Services is given below.Period1234Loan Funds Available3000700040005000Investment Income(% of previous period's investment)Maximum InvestmentPayroll Payment110%112%113%4500800060007500100120150100In each period, funds available for investment come from two sources: loan funds and income fromthe previous period's investment. Expenses, or cash outflows, in each period must includerepayment of the previous period's loan plus 8.5% interest, and the current payroll payment. Inaddition, to end the planning horizon, investment income from period 4 (at 110% of the investment)must be sufficient to cover the loan plus interest from period 4. The difference in these twoquantities represents net income, and is to be maximized. How much should be borrowed and howmuch should be invested each period?

Variables:Let the variables represent the amount invested in each period:x1: Investment in period…

Answered: Information on a prospective investment…

Essentials of Economics (MindTap Course List)

8th Edition

ISBN:9781337091992

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter19: The Basic Tools Of Finance

Section: Chapter Questions

Problem 1CQQ

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You are the manager of the Mighty Fine mutual fund. The following table reflects the activity of the fund during the last quarter. The fund started the quarter on January 1 with a balance of $100 million. Mighty Fine Mutual Pund Monthly Data (measured at end of month) February -4.3 6.20 March January 5.5 Net inflows ($ million) HPR () -4.30 1.80 Required: a. Calculate the quarterly arithmetic average return on the fund. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Arithmetic average 1.23 % b. Calculate the quarterly geometric (time-weighted) average return on the fund. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Geometric average 1.14 % c. Calculate the quarterly dollar-weighted average return on the fund. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Dollar-weighted average return
A zero-coupon bond has a yield to maturity of 5% and a par value of $1,000. If the bond matures in16 years, it should sell for a price of __________ today.
Last one is wrong. Only typed answer please. I will rate accordingly
Use the charts to find aw of each.
A certain person invests $ 25,000 in a fund that pays 9% compound interest semi-annually. it will have 5 years at the bottom? A. $ 37,455. 19 B. $ 35,952.20 C. $ 38.824.24 D. $ 39,900.21
q/ The present value of the following cash flow stream is $5,933.86 when discounted at 11 percent annually. What is the value of the missing cash flow? year cash flow1 20002 ?3 17504 1250 1. $1,500 2. $1,750 3. $2,000 4. $2,250 5. $2,500
An investor can invest money with a particular bank and earn a stated interest rate of 4.40%; however, interest will be compounded quarterly. What i are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate Rahul needs a loan and is speaking to several lending agencies about the interest rates they would charge and the terms they offer. He particularly likes his local bank because he is being offered a nominal rate of 4%. But the bank is compounding bimonthly (every two months). What is the effective interest rate that Rahul would pay for the loan? ○ 3.945% 4.152% 4.067% 04.186 % Another bank is also offering favorable terms, so Rahul decides to take a loan of $12,000 from this bank. He signs the loan contract at 5% comanded daily for 12 months. Based on a 365-day year, what is the total amount that Rahul owes the bank at the end of the loan's term? (Hint: To calculate the number of days,…
John plans to invest an equal amount of $2.000 in equity fund every year-end beginning with this year. The expected annual rate of return is 15%. She plans to invest for 20 years. The expected annual rate of return is 15%. She plans to invest in 20 years. How much could she expect to have at the end of 20 years?
QUESTION 1 Muhammad takes out a loan of $ 2,130, at 8% simple interest, for 8 years. How much will he pay back at the end of year 8? QUESTION 2 Calculate the amount of interest on an investment of AED 103,971 at 8% simple interest for 5 years. QUESTION 3 If you deposit today $7,335 in an account for 6 years and at the end accumulate $10,885, how much compound interest rate (rate of return) you earned on this investment ? QUESTION 4 You will deposit 12,025 at 10% simple interest rate for 9 years, and then move the amount you would receive to an investment account at 12 % compound rate for another 3 years. How much money would you have at the end of the entire period ?
14. A man made ten annual end-of-year purchases of P1,000 common stock. At the end of 10th year he sold all the stock for P12,000. What interest rate did he obtain on his investment?
6% n 1 2 3 4 5 6 7 8 9 10 Single Payments Compound Present Amount Worth P/F F/P 1.0600 1.1236 1.1910 1.2625 1.3382 TABLE 11 Discrete Cash Flow: Compound Interest Factors Uniform Series Payments Compound Amount F/A Capital Recovery A/P 1.4185 1.5036 1.5938 1.6895 1.7908 0.9434 0.8900 0.8396 0.7921 0.7473 0.7050 0.6651 0.6274 0.5919 0.5584 Sinking Fund A/F 1.00000 0.48544 0.31411 0.22859 0.17740 0.14336 0.11914 0.10104 0.08702 0.07587 1.0000 2.0600 3.1836 4.3746 5.6371 6.9753 8.3938 9.8975 11.4913 13.1808 1.06000 0.54544 0.37411 0.28859 0.23740 0.20336 0.17914 0.16104 0.14702 0.13587 Present Worth P/A 0.9434 1.8334 2.6730 3.4651 4.2124 4.9173 5.5824 6.2098 6.8017 7.3601 Arithmetic Gradients Gradient Present Worth P/G 0.8900 2.5692 4.9455 7.9345 11.4594 15.4497 19.8416 24.5768 29.6023 Gradient Uniform Series A/G 0.4854 0.9612 1.4272 1.8836 2.3304 2.7676 3.1952 6% 3.6133 4.0220 A family that won a $100,000 prize on America's Funniest Home Videos decided to put one-half of the money in a…
Astrid makes an investment with a zero net present value. She pays $900 today, and receives $400 one year from today, $350 two years from today, and three years from today. There are no other cash flows, and her effective annual interest rate is 12%. Select one: a. $390 b. $420 c. $410 d. $350 e. $370

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