George Johnson recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his two children. The trust fund has two investment options: (1) a bond fund and (2) a stockfund. The projected returns over the life of the investments are 11% for the bond fund and 15% for the stock fund. Whatever portion of the inheritance he finally decides to commit to the trust fund, he wants to investat least 30% of that amount in the bond fund. In addition, he wants to select a mix that will enable him to obtain a total return of at least 12.5%.(a) Formulate a linear programming model that can be used to determine the percentage (as a decimal) that should be allocated to each of the possible investment alternatives. (Assume B is the percentage (as adecimal) of funds invested in the bond fund and S is the percentage (as a decimal) of funds invested in the stock fund.)Max (as a decimal)s.t.bond minimum fundminimum returnpercentage requirementB, S≥ 0(b) Solve the problem using the graphical solution procedure. What is the value of the objective function at the optimal solution?at (B, S) =

Given, thatProjected returns over the life of the investments: for the bond fund and for the stock…

Answered: George Johnson recently inherited a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose a mutual fund has a portfolio of stocks that have a market value of $10.75 billion and the company has 900 million shares of stock. What is the net asset value (in dollars) of a share of the mutual fund?
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Leonard started a systematic investment program by buying $400.00 worth of mutual funds on the first day of every month starting on February 1. Mutual funds are purchased in units. Leonard purchased as many units as he could with his $400.00, including fractions of units. Unit prices for the first six months were $10.00, $10.80, $11.50, $9.75, $9.40, and $12.15 respectively. Complete parts (a) through (d) below. (a) What is the simple average of the unit prices? $ (Round to the nearest cent as needed.) (b) What is the total number of units purchased during the first six months? units (Round to three decimal places as needed.) (c) What is the average cost of the units purchased? $ (Round to the nearest cent as needed.) (d) What is the value of Leonard's mutual fund holdings on July 31 if the unit price is $11.90 on that date? $4 (Round to the nearest cent as needed.)
At the end of 2009, right after the great recession of 2008-2009, business partners Mario and Luigi sold their plumbing business and retired. Each of them received $1,000,000 net from the sale. Mario holds an undergaduate business degree and understands risk, return, and divesification. He decides to invest his 1M$ in SPY ETF (essentially a stock that tracks the S&P 500 index performance). Luigi comes from a low income family and could not afford to go to college. He doesn't understand finance and he fears risk, so he decides to put his money in a bank savings account. The average S&P500 annual return from 2010 to 2019 has been 11.3%, the average annual return on a standard savings account has been 0.1% over the last 10 years. What is the difference in FV value (end of 2019) between Mario and Luigi investment holdings?

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