"Jay, a writer of novels, just has completed a new thriller
novel. A movie company and a TV network both want exclusive rights
to market his new title. If he signs with the network, he will
receive a single lump sum of $1,460,000, but if he signs with the
movie company, the amount he will receive depends on how successful
the movie is at the box office.
The probability of a small box office earning $264,000 is 0.25. The
probability of a medium box office of $1,260,000 is 0.6, and the
probability of a large box office of $3,040,000 is 0.15.
Assume that Jay wants to maximize his expected monetary value.
Enter the expected monetary value (EMV) of the preferred
option."
Expected monetary value can be used to quantify the risks and to decide whether the project must be taken or not.
EMV for movie
Success | Earnings (X) | probability(px ) | px *X |
Small box office | 264,000 | 0.25 | 66000 |
Medium box office | 1260000 | 0.6 | 756000 |
Large box office | 3040000 | 0.15 | 456000 |
So EMV = 66000+756000+456000
=$1,278,000
EVM for Tv network as there is no risk involved so probability will be equal to 1.
So EVM for TV network = $1460000*1=$1460000
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