m Suppose you have a sporting event with m different outcomes for which the odds satisfy 11 <1. Which of the following statements are true? 1+%₂ a. It is possible to construct a betting strategy that produces the constant profit £1 whatever the outcome i. b. There is no risk-free profit here, you always have to take some risk in order to win. c. It is possible to construct a betting strategy that produces the constant profit £2 whatever the outcome i. Od. There exists an arbitrage opportunity in this case. O e. There exist risk-neutral probabilities in this case.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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Suppose you have a sporting event with m different outcomes for which the odds satisfy Σi=1170; < 1. Which of the following statements are true?
a. It is possible to construct a betting strategy that produces the constant profit £1 whatever the outcome i.
b. There is no risk-free profit here, you always have to take some risk in order to win.
O c.
It is possible to construct a betting strategy that produces the constant profit £2 whatever the outcome i.
Od. There exists an arbitrage opportunity in this case.
O e. There exist risk-neutral probabilities in this case.
Transcribed Image Text:Suppose you have a sporting event with m different outcomes for which the odds satisfy Σi=1170; < 1. Which of the following statements are true? a. It is possible to construct a betting strategy that produces the constant profit £1 whatever the outcome i. b. There is no risk-free profit here, you always have to take some risk in order to win. O c. It is possible to construct a betting strategy that produces the constant profit £2 whatever the outcome i. Od. There exists an arbitrage opportunity in this case. O e. There exist risk-neutral probabilities in this case.
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