The cost of the raspberry crop has a market value of
$120,000. If it is subjected to frost the value becomes $80,000. The protection of the
crop from frost costs $20,000. If the crop is protected and there is frost the market
value is 180,000.
Now for Flescher to be indifferent to
spending the extra $20,000, the probability of a frost which we assume is P should be
such that:
the loss incurred when the crop is not protected
* the probability of frost = the profit incurred if there is a frost and the crop is
protected
=> P*40,000 = (1-P)* 60000 -
20000
=> 40000P = 60000 - 60000P -
20000
=> 100,000P =
40,000
=> P = 40,000 /
100,000
=> P =
0.4
Therefore if there is a probability of
0.4 that there will be frost, Flescher is indifferent to getting the farm
protected.
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