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Warren Buffy is an enormously wealthy investor who has built his fortune through his legendary
investing acumen. He currently has been offered three major investments and he would like to
choose one. The first one is a conservative investment that would perform very well in an
improving economy and only suffer asmall loss in a worsening economy. The second is a
speculative investment that would perform extremely well in an improving economy but would
do very badly in a worsening economy. The third is a countercyclical investment that would lose
some money in an improving economy but would perform well in a worsening economy. Warren
believes that there are three possible scenarii over the lives of those potential investments: (1) an
improving economy, (2) a stable economy, and (3) a worsening economy He is pessimistic about
where the economy is headed, and so has assigned probabilities of 0.1, 0.5 and 0.4, respectively,
to these three scenarii. He also estimates that his profits under these respective scenarios are
those given by the following table: Estimated profit in millions of dollars Improving Economy
Stable EconomyWorsening Economy Conservative investment 30 5 -10 Speculative investment
40 10 - 30 Counter cyclical investment -10 0 15 Probability 0.1 0.5 0.4 Which investment should
Warren make under each of the following criteria minimax regret (savage) criterion?

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  • 1. Warren Buffy is an enormously wealthy investor who has built his fortune through his legendary investing acumen. He currently has been offered three major investments and he would like to choose one. The first one is a conservative investment that would perform very well in an improving economy and only suffer asmall loss in a worsening economy. The second is a speculative investment that would perform extremely well in an improving economy but would do very badly in a worsening economy. The third is a countercyclical investment that would lose some money in an improving economy but would perform well in a worsening economy. Warren believes that there are three possible scenarii over the lives of those potential investments: (1) an improving economy, (2) a stable economy, and (3) a worsening economy He is pessimistic about where the economy is headed, and so has assigned probabilities of 0.1, 0.5 and 0.4, respectively, to these three scenarii. He also estimates that his profits under these respective scenarios are those given by the following table: Estimated profit in millions of dollars Improving Economy Stable EconomyWorsening Economy Conservative investment 30 5 -10 Speculative investment 40 10 - 30 Counter cyclical investment -10 0 15 Probability 0.1 0.5 0.4 Which investment should Warren make under each of the following criteria minimax regret (savage) criterion?