Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 11.3, Problem 18P
Summary Introduction
To modify: The model and run the simulation.
Introduction: Simulation model is the digital prototype of the physical model that helps to
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Suppose we have a stock with the following information:
Dividend Next year:
$
5.00
Dividend growth rate:
6.00%
Required return:
15.00%
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So, the stock price today with the constant dividend growth model is:
Stock price today:
The constant dividend growth equation is the present value of a growing perpetuity, but we should cautio
same information from above, we can calculate the stock price for various growth rates.
g
0.00%
1.00%
2.00%
3.00%
4.00%
5.00%
6.00%
7.00%
8.00%
9.00%
10.00%
Stock price
Suppose that a firm begins at time t
=
0 with a capital stock of K(0) = 500,000 pesos and, in addition to
replacing any depreciated capital, is planning to invest in new capital at the rate I(t) = 600t² over the
next ten years.
a. What is the planned level of capital stock at the end of 10 years?
b. How much net investment was made between the 3rd and 5th year?
2.
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Chapter 11 Solutions
Practical Management Science
Ch. 11.2 - If the number of competitors in Example 11.1...Ch. 11.2 - In Example 11.1, the possible profits vary from...Ch. 11.2 - Referring to Example 11.1, if the average bid for...Ch. 11.2 - See how sensitive the results in Example 11.2 are...Ch. 11.2 - In Example 11.2, the gamma distribution was used...Ch. 11.2 - Prob. 6PCh. 11.2 - In Example 11.3, suppose you want to run five...Ch. 11.2 - In Example 11.3, if a batch fails to pass...Ch. 11.3 - Rerun the new car simulation from Example 11.4,...Ch. 11.3 - Rerun the new car simulation from Example 11.4,...
Ch. 11.3 - In the cash balance model from Example 11.5, the...Ch. 11.3 - Prob. 12PCh. 11.3 - Prob. 13PCh. 11.3 - The simulation output from Example 11.6 indicates...Ch. 11.3 - Prob. 15PCh. 11.3 - Referring to the retirement example in Example...Ch. 11.3 - A European put option allows an investor to sell a...Ch. 11.3 - Prob. 18PCh. 11.3 - Prob. 19PCh. 11.3 - Based on Kelly (1956). You currently have 100....Ch. 11.3 - Amanda has 30 years to save for her retirement. At...Ch. 11.3 - In the financial world, there are many types of...Ch. 11.3 - Suppose you currently have a portfolio of three...Ch. 11.3 - If you own a stock, buying a put option on the...Ch. 11.3 - Prob. 25PCh. 11.3 - Prob. 26PCh. 11.3 - Prob. 27PCh. 11.3 - Prob. 28PCh. 11.4 - Prob. 29PCh. 11.4 - Seas Beginning sells clothing by mail order. An...Ch. 11.4 - Based on Babich (1992). Suppose that each week...Ch. 11.4 - The customer loyalty model in Example 11.9 assumes...Ch. 11.4 - Prob. 33PCh. 11.4 - Suppose that GLC earns a 2000 profit each time a...Ch. 11.4 - Prob. 35PCh. 11.5 - A martingale betting strategy works as follows....Ch. 11.5 - The game of Chuck-a-Luck is played as follows: You...Ch. 11.5 - You have 5 and your opponent has 10. You flip a...Ch. 11.5 - Assume a very good NBA team has a 70% chance of...Ch. 11.5 - Consider the following card game. The player and...Ch. 11.5 - Prob. 42PCh. 11 - You now have 5000. You will toss a fair coin four...Ch. 11 - You now have 10,000, all of which is invested in a...Ch. 11 - Suppose you have invested 25% of your portfolio in...Ch. 11 - Prob. 47PCh. 11 - Based on Marcus (1990). The Balboa mutual fund has...Ch. 11 - Prob. 50PCh. 11 - Prob. 52PCh. 11 - The annual demand for Prizdol, a prescription drug...Ch. 11 - Prob. 54PCh. 11 - The DC Cisco office is trying to predict the...Ch. 11 - A common decision is whether a company should buy...Ch. 11 - Suppose you begin year 1 with 5000. At the...Ch. 11 - You are considering a 10-year investment project....Ch. 11 - Play Things is developing a new Lady Gaga doll....Ch. 11 - An automobile manufacturer is considering whether...Ch. 11 - It costs a pharmaceutical company 75,000 to...Ch. 11 - Prob. 65PCh. 11 - Rework the previous problem for a case in which...Ch. 11 - Prob. 68PCh. 11 - The Tinkan Company produces one-pound cans for the...Ch. 11 - Prob. 70PCh. 11 - In this version of dice blackjack, you toss a...Ch. 11 - Prob. 76PCh. 11 - It is January 1 of year 0, and Merck is trying to...Ch. 11 - Suppose you are an HR (human resources) manager at...Ch. 11 - You are an avid basketball fan, and you would like...Ch. 11 - Suppose you are a financial analyst and your...Ch. 11 - Software development is an inherently risky and...Ch. 11 - Health care is continually in the news. Can (or...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Referring to the retirement example in Example 11.6, rerun the model for a planning horizon of 10 years; 15 years; 25 years. For each, which set of investment weights maximizes the VAR 5% (the 5th percentile) of final cash in todays dollars? Does it appear that a portfolio heavy in stocks is better for long horizons but not for shorter horizons?arrow_forwardIf the number of competitors in Example 11.1 doubles, how does the optimal bid change?arrow_forwardSuppose you are borrowing 25,000 and making monthly payments with 1% interest. Show that the monthly payments should equal 556.11. The key relationships are that for any month t (Ending month t balance) = (Ending month t 1 balance) ((Monthly payment) (Month t interest)) (Month t interest) = (Beginning month t balance) (Monthly interest rate) Of course, the ending month 60 balance must equal 0.arrow_forward
- the price of a stock on July 1 is $30. A trader buys 100 call options on the stock with a strike price of $34 when the option price is $2. The options are exercised when the stock price is $40. The trader's net profit is ?arrow_forwardYou have your choice of two investment accounts.Investment A is a 15-year annuity that features end-of-month $1,500 paymentsand has an interest rate of 8.7 percent compounded monthly. Investment B is an8 percent continuously compounded lump-sum investment, also good for 15 years.How much money would you need to invest in B today for it to be worth as much asInvestment A 15 years from now?arrow_forwardH1. Account Where a company has no history with declaring and paying dividends, it will need to use an alternate method to value its stock. What are some of the key concerns in using the PE ratio to value stock?arrow_forward
- Fred has been told that diversifying his investments will significantly reduce risk. He hastherefore invested in two stocks. His portfolio consists of a $1 500 000 investment in DrugsLimited and $750 000 invested in shares of Pharmaceuticals Limited.Economy Probability ReturnsDrugs Limited PharmaceuticalsLimitedBoom 0.4 12% 19%Normal 0.5 8% 11%Recession 0.1 2% -4% i. What is the expected return on Fred’s portfolio? ii. Advise Huron as to the effectiveness of his diversification strategy.arrow_forwardSuppose that you want to invest $10,000 in the stock market by buying shares in one of two companies: A and B. Shares in company A though risky, could yield a 50% return on investment during the next year. If the stock market if conditions are not favorable (bear market) the stock may lose 20% of it value. Company B provides safe investments with 15% return in a bull market and only 5% in a bear market Ali the applications you have consulted are predicting a 60% chance for a bull market and 40% for a bear market. Where you invest your money? Construct a decision tree.arrow_forward5. If money can be invested at 5% compounded annually, A. Accumulate P1,000 for 15 years. B. Discount the result of problem A for 10 years. C. Accumulate P1,000 for 5 years. Compare the results of B and C.arrow_forward
- The Free Cash Flow model has the following advantage over the Dividend Growth model: In the case of variable growth, it does not require the calculation of any horizon value. It can be applied even if growth rates are unknown. It can be applied to companies with variable growth in the initial years that eventually settle down to a fixed rate of growth for the long term. It can be applied to divisions of companies. O It does not require any forecasting.arrow_forwardI need help with everything, please. hint: you will need to define one variable for total funds needed; one variable for each for 2 securities. and five variables for investment in savings at the beginning of each year. The 6th year will be 1.04 times the 5th-year saving variable. Formulate the problem and submit the formulation - no need to solve 1. As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the following annual payments (in thousands of dollars): Year Payment 1 190 2 215 3 240 4 285 5 315 6 460 The annual payments must be made at the beginning of each year. The judge will approve an amount that, along with earnings on its investment, will cover the annual payments. Investment of the funds will be limited to savings (at 4% annually) and government securities, at prices and rates currently quoted in The Wall Street…arrow_forwardLet Xi be the price (in dollars) of stock i one year fromnow. X1 is N(15, 100) and X2 is N(20, 2025). Today I buythree shares of stock 1 for $12/share and two shares of stock2 for $17/share. Assume that X1 and X2 are independentrandom variables.a Find the mean and variance of the value of my stocksone year from now.b What is the probability that one year from now I willhave earned at least a 30% return on my investment?c If X1 and X2 were not independent, why would it bedifficult to answer parts (a) and (b)?arrow_forward
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