You are considering three investment alternatives for some spare cash: Old Reliable Corporation stock (A1), Fly-By-Nite Air Cargo Company stock (A2), and a federally insured savings certificate (A3). You expect the economy will either "boom" (N1) or “bust” (N2), and you estimate that a boom is more likely (p1 = 0.6) than a bust (p2 = 0.4). Outcomes for the three alternatives are expected to be (1) $2000 in boom or $500 in bust for ORC; (2) $6000 in boom but $-5000 (loss) in bust for FBN: and (3) $1200 for the certificate in either case. Set up a payoff table (decision matrix) for this problem and show which of it Alternative maximizes expected value.

You are considering three investment alternatives for some spare cash: Old Reliable Corporation stock (A1), Fly-By-Nite Air Cargo Company stock (A2), and a federally insured savings certificate (A3). You expect the economy will either "boom" (N1) or “bust” (N2), and you estimate that a boom is more likely (p1 = 0.6) than a bust (p2 = 0.4). Outcomes for the three alternatives are expected to be (1) $2000 in boom or $500 in bust for ORC; (2) $6000 in boom but $-5000 (loss) in bust for FBN: and (3) $1200 for the certificate in either case. Set up a payoff table (decision matrix) for this problem and show which of it Alternative maximizes expected value.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section11.5: Simulating Games Of Chance

Problem 36P: A martingale betting strategy works as follows. You begin with a certain amount of money and...

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A martingale betting strategy works as follows. You begin with a certain amount of money and repeatedly play a game in which you have a 40% chance of winning any bet. In the first game, you bet 1. From then on, every time you win a bet, you bet 1 the next time. Each time you lose, you double your previous bet. Currently you have 63. Assuming you have unlimited credit, so that you can bet more money than you have, use simulation to estimate the profit or loss you will have after playing the game 50 times.
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