INVESTMENT STRATEGIES As part of their investment strategy, the Carrington’s have decided to put
a. Determine the optimal investment strategy for the Carrington’s' investment of $100,000.
b. What profit can the Carrington’s expect to make on their investments over the year if they use their optimal investment strategy?
Trending nowThis is a popular solution!
Chapter 9 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences
- Although investing all at once works best when stock prices are rising, dollar-cost averaging can be a good way to take advantage of a fluctuating market. Dollar-cost averaging is an investment strategy designed to reduce volatility in which securities are purchased in fixed dollar amounts at regular intervals regardless of what direction the market is moving. This strategy is also called the constant dollar plan. You are considering a hypothetical $1,200 investment in a media company's stock. Your choice is to invest the money all at once or dollar-cost average at the rate of $100 per month for one year. Assume that the company allows you to purchase "fractional" shares of its stock. (a)If you invested all of the money in January and bought the shares for $12 each, how many shares could you buy? shares (b)From the following chart of share prices, calculate the number of shares that would be purchased each month using dollar-cost averaging and the total shares for the year. Round…arrow_forwardConsider the following payoff matrix.arrow_forwardAlthough investing all at once works best when stock prices are rising, dollar-cost averaging can be a good way to take advantage of a fluctuating market. Dollar-cost averaging is an investment strategy designed to reduce volatility in which securities are purchased in fixed dollar amounts at regular intervals regardless of what direction the market is moving. This strategy is also called the constant dollar plan. You are considering a hypothetical $1,200 investment in a media company's stock. Your choice is to invest the money all at once or dollar-cost average at the rate of $100 per month for one year. Assume that the company allows you to purchase "fractional" shares of its stock. (a) If you invested all of the money in January and bought the shares for $12 each, how many shares could you buy? shares (b) From the following chart of share prices, calculate the number of shares that would be purchased each month using dollar-cost averaging and the total shares for the year.…arrow_forward
- Investment Club: A private investment club has $3,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high risk, medium risk, and low risk. Management estimates that high-risk stocks will have a rate of return of 17%/year; medium-risk stocks, 7%/year; and low-risk stocks,4%/year. The members have decided that the investment in low-risk stocks should be a quarter of the sum of the investments in the stocks of the other two categories. Assuming that all the money available for investment is invested, how much should the club invest in each type of stock if the investment goal is to have a return of $413/year on the total investment? (Round your answer to 1 decimal place.) The club should invest $ ,$ , and $ in high risk, medium risk and low risk stocks completely.arrow_forwardYou have $5000 to invest for 1 year. Fund A has an estimated 4% annual return, and Fund B has an estimated 10% annual return. Fund A is more stable, and preferred among investors with low risk tolerance. Fund B is less stable, but has larger returns. Answer the following questions about this investment opportunity.arrow_forwardCorn crop yields vary by state. In 2008, IOWA averaged 172 bushels/acre. On September 3, 2009, the published market price per bushel was 319.25 cents/bushel. Jimmy Harold is analying a heavily leveraged purchase of some additional acreage, and his decision to purchase is based on the expected yield during his first crop year. After analyzing historical rainfall and long range weather forecasts, Jimmy compiled the following table of crop yields. rainfail yield(bu/acre) probability below average 154 0.15 average 172 0.4 above average 177 0.45 What is the expected corn crop yield, E[Y] based on the data in Jimmy's? E[Y] = (to 2 decimal places).arrow_forward
- The Board of Governors of the Federal Reserve System publishes data on mortgage debt outstanding by type of property and holder. The following data give the amounts of residential nonfarm debt (in $ billions) held by savings institutions in the United States over a 10-year period. Use these data to develop an autoregression model with a one-period lag. Discuss the strength of the model. Year Debt 1 529 2 554 3 559 4 602 5 672 6 669 7 600 8 538 9 490 10 470arrow_forwardInvesting: Inverse ETFs (Exchange Traded Funds) Inverse ETFs, sometimes referred to as "bear market" or "short" funds, are designed to deliver the opposite of the performance of the index or category they track, and so can be used by traders to bet against the stock market. The following table shows the performance of three such funds as of August 5, 2015.† Year-to-Date Loss (%) MYY (ProShares Short Midcap 400) 6 SH (ProShares Short S&P 500) 5 REW (ProShares UltraShort Technology) 7 You invested a total of $13,000 in the three funds at the beginning of 2011, including an equal amount in SH and REW. Your year-to-date loss from the first two funds amounted to $570. How much did you invest in each of the three funds? MYY$ SH$ REW$arrow_forwardA retail department store must make a choice between two investments with a preferred rate of return of 13.5%. Alternative 1 will provide the store with returns of $12.000 at the end of year two, $15.000 at the end of year four and $9000 at the end of year 6. Alternative 2 will provide the store with annual returns of $5800 per year for six years. Which alternative is preferable? Select one: a. Alternative 2 b. Altemative 1arrow_forward
- Discuss two extensions to the original GARCH (p,q) model and explain additional characteristics of financial data they might be able to capture.arrow_forwardFirst Securities, Inc., an investment firm, has $380,000 on account. The chief investment officer would like to reinvest the $380,000 in a portfolio that would maximize return on investment while at the same time maintaining a relatively conservative mix of stocks and bonds. The following table shows the investment opportunities and rates of return. Investment Opportunity Rate of Return Municipal Bonds (X1) 0.095 High Tech Stock (X2) 0.146 Blue Chip Stock (X3) 0.075 Federal Bonds (X4) 0.070 a) The Board of Directors has mandated that at least 60 percent of the investment consist of a combination of municipal and federal bonds, at least 25 percent Blue Chip Stock, no more than 30 percent High Tech and Blue Chip Stock, and no more than 15 percent High Tech Stock. Based on above problem, how many constraints are in this problem? A) 3 B) 4 C) 5 D) 2 b) Based on part a, which of the…arrow_forwardA manufacturer produces a toy sold during the summer season at a unit production cost of $5. The manufacturer sells the toy to a retailer, who then sells the product for $35 to the end customer. The manufacturer and retailer have agreed upon a revenue sharing contract that coordinates the supply chain and optimizes the expected profit of the entire supply chain (i.e., the retailer and the manufacturer), which is expected to be $4,000 over the summer selling season. If the wholesale price of the revenue sharing contract is $2, what is the manufacturer’s expected profit? PLEASE SHOW CALCULATIONSarrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education