15. In the year 2000 several 1st year business students formed an investment group as part ofa class assignment. The graph above show the growth of their investment portfolio overthe past several years. (Note: t=0 is the year 2000)Growth of Investment PortfolioYear (t)Value ofInvestments (S)200040 000200153 000200273 245200398 4152004148 8602005223 5001502006330 250t2007490 850Time (years)Determine the average rate of growth of their investment between 2000and 2005.b)On the graph DRAW and use the centered interval to determine the rate ofgrowth of their investment in 2006.a)Value (in $1000)600450300

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Answered: 15. In the year 2000 several 1st year…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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More than 50,000 state and local governments and their agencies borrow money by issuing municipal bonds to build, repair, or improve schools, streets, highways, hospitals, sewer systems, and so on. When the federal income tax law was adopted in 1913, interest on municipal bonds was excluded from federal taxation. As a result, municipal bond investors are willing to accept lower yields than those they can obtain from taxable bonds. As part of your portfolio, you are considering investing $70,000 in bonds. You have the choice of investing in tax-exempt municipal bonds yielding 2.75% or corporate bonds yielding 4% in taxable interest income. (a)What is the annual interest income (in $) and tax status of the municipal bond investment? (b)What is the annual interest income (in $) and tax status of the corporate bond investment? (c) If you are in the 32% marginal tax bracket for federal income taxes and your state and local taxes on that income amount to an additional…
More than 50,000 state and local governments and their agencies borrow money by issuing municipal bonds to build, repair, or improve schools, streets, highways, hospitals, sewer systems, and so on. When the federal income tax law was adopted in 1913, interest on municipal bonds was excluded from federal taxation. As a result, municipal bond investors are willing to accept lower yields than those they can obtain from taxable bonds. As part of your portfolio, you are considering investing $80,000 in bonds. You have the choice of investing in tax-exempt municipal bonds yielding 2.75% or corporate bonds yielding 4% in taxable interest income. (a) What is the annual interest income (in $) and tax status of the municipal bond investment? $ (b) What is the annual interest income (in $) and tax status of the corporate bond investment? $ (c) If you are in the 30% marginal tax bracket for federal income taxes and your state and local taxes on that income amount to an…
Use the basic equation for the capital asset pricing model (CAPM) to Find the risk-free rate for a firm with a required return of 15% and a beta of 1.25 when the market return is 14%
An individual has a side line business as an economics tutor. They model their cash inflows using the continuous stream f(t)=100−10t for t>0. Why is this potentially NOT a good model for a continuous income stream for all t>0?
2. Suppose that the rate of return for a particular stock during the past two years was 10% and 20%. Compute the geometric rate of return per year. (Note: A rate of return of 10% is recorded as 0.10, and a rate of return of 20% is recorded as 0.20.) (30%)
Two pumps capable of delivering 100 hp to an agricultural application are being evaluated in a present economy study. The selected pump will only be utilized for one year, and it will have no market value at the end of the year. Pertinent data are summarized as given follows. If electric power costs $0.10 per kWh and the pump will be operated 4,000 hours per year, which pump should be chosen? Recall that 1 hp = 0.746 kW.
Suppose that a particular company estimates its growth income from sales by the formula:dS/dt = 2(t − 1)^2/3where S millions of dollars is the gross income from sales t years. If the gross income from the current year’s sales is $8 million, what would be the expected gross income from sales 2 years from now?
Ajax has established a new sandwich shop format for airports and train stations.Here, the sandwitches are only made from a specially made,long,individual loaf of bread.But the innovations is that the sandwiches are not made ahead in large batches.Intead,a few of each variety of sandwich are made at a time,in the shop,with the result being a better ability to exactly match supply to demand. If prior to this change the shop has roughly 5 percent leftovers of one-half of the sandwich varieties each day,but could have sold 10 percent more of the two best sellers that day,what are the potential benefits of the new format if the store sells 12 different sandwiches each with an average demand of 20 per day?
3) a) i) Calculate the simple interest earned on a investment of $ 400,000 after 12 years at a rate of 3.5 %. ii) Calculate the time needed on an investment of $400,000 to gained an interest of $60,000 if the interest rate is 3%. b) 3 burgers and 2 drinks cost $35.00 2 burgers and 1 drink cost $22.00 What is the cost of each item? 4) a) 12 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 5 samples.How many different selections can a customer make? b) The following day 4 drink samples are add and customers are told that they can take 4 pastries samples and 2 drink samples. How many different selections does the customer now make?
Assume you are the manager of a firm facing a two-period planning problem under certainty. The transformation curve is (K 1 +5) 2 +K 2 2 =225. initial K 1 =10 Use interest rates of your own choice: a.Illustrate how the introduction of a perfect capital market may improve the initial wealth of the firm with limited resources by enabling borrowing. b. What is the interest rate threshold above which the firm will not borrow from the capital market?
Suppose that an account is governed by a quadratic accumulation function a(t) =at2 + 0.01t + b and i1 = 2%. Find a, b, the effective rate of interest on the third year, andthe effective rate of discount on the fourth year.
You are considering a three-year project that costs $1,500, and has expected cash flows of $500 at the end of the 1st year, $750 at the end of the 2nd year, and $1000 at the end of the 3rd year. Given an 11% required rate of return, what is the project’s net present value? [Hint: PV = FV/(1+ r)t ] Group of answer choices $290 $630 $23 -$560

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