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Ray Crofford Is Evaluating Investment Alternatives for the $100,000 Which \quad

question 39

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Ray Crofford is evaluating investment alternatives for the $100,000 which he inherited from his grandfather.His investment advisor has identified two alternatives and constructed the following tables which show (1) expected profits (in $10,000's) for various market conditions and their probabilities, and (2) the advisor's track record on predicting Bull and Bear markets. \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  Actual Market \text { Actual Market }
\quad \quad \quad \quad \quad \quad \quad \quad  Market Condition \text { Market Condition }\quad \quad \quad \quad \quad \quad \quad \quad Advisor’s\text {Advisor's}\quad Condition\text {Condition}
 Investment  Bull (0.8)   Bear (0.2)   EMV  Bonds 1239 Stocks 253014 Prediction  Bull (S1)  Bear (S2)  Bull (F1) 0.90.3 Bear (F2) 0.10.7\begin{array}{c}\begin{array}{|c|c|c|c|}\hline \text { Investment } & \text { Bull (0.8) } & \text { Bear (0.2) } & \text { EMV } \\\hline \text { Bonds } & 12 & -3 & 9 \\\hline \text { Stocks } & 25 & -30 & 14 \\\hline \end{array}&\begin{array}{|c|c|c|}\hline\text { Prediction } & \text { Bull }\left(S_{1}\right) & \text { Bear }\left(S_{2}\right) \\\hline \text { Bull }\left(F_{1}\right) & 0.9 & 0.3 \\\hline \text { Bear }\left(F_{2}\right) & 0.1 & 0.7\\\hline \end{array}\end{array}

If the advisor predicts a Bear market the revised probability of a Bear market, P (S2|F2) , is ________.


Definitions:

Assessed Values

Assessed values are the valuation of property, usually by a public tax assessor, for the purpose of determining property taxes.

Mill Rate

The amount of tax payable per dollar of the assessed value of a property.

Current Assessment

An evaluation or estimation of the present status, value, or condition of something.

Percentage

A fraction or ratio expressed as a part of 100, used to denote a proportion of a whole.

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