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Expected Value & Sensitivity Analysis:


Both are the very important and valuable techniques for forecasting and budgeting. Expected Value means taking a random value or a value which is taken on the basis of the expectation or on the basis of the probability distribution. In expected value calculation we take care of some factors which help us to extract the desirable value for the analysis. We focus on the Number of decision alternatives which are under the manager control, and then we focus on the state of nature and the possibilities of the results outcomes and at last the payoff which is the combination of the whole alternative possible outcomes. In short words we take all the alternatives and keep them with the future state of nature and multiplying them with the expected probabilities which are already assigned by the manager on the basis of his experience and state of mind. The outcome of the each multiple value adding with the all state of natures and then a resulting value is consider as a Expected value.
For example Mr. Mark Mollar wants to purchase a house to secure his income and invest that in the fixed assets. He have many places options but two options are very interesting and in his purchasing range because the infrastructure of these places is in the planning of State government and the proper rates will be high after the complete infrastructure facilities installation. But there he is in thinking to purchase which area house and where he invests his capital. According to the available data and problem solution he perform the following solution to extract the expected value with keeping in mind all kinds of situations regarding the infrastructure facilities in these areas. Keeping in mind the probabilities of each State of Nature are with the ratio of .1 , .5 and .8
Areas               State of Nature 1        State of Nature 2        State of Nature 3        =      EV                                                No Infrastructure              within a Year      Planned after 1 or many years
West Town Hill area:    .1 x   (15,000)       +  .5 x (35,000)   +          .8 x      (25,000)=         39,000
Lady Martin Town:        .1 x      (18,000)    +  .5 x (39,000)   +          .8 x      (20,000) =         35,700
 So according to this solution the West Town Hill area is best for Mr. Mark Mollar to purchase.
The critics saying as compare to other methods the expected value has many repetitive trials to extract a result. The probability distribution is very though in it. That method is suitable for those who have the ability to take the risk.
There is another method also which is known as Perfect information method to make the decision. That is possible to use where the Nature is perfectly under control and well known to make a decision. The most common and mathematically use process is the Expected Value with perfect information. The solution process is almost is same like the expected value we have alternatives and different state of nature and the probabilities and then we calculate them and subtract the results from the Expected Value without perfect information factor. The nature of the result helps us to make a decision.

            The most usable method for capital budgeting. According to it the structure of the cost is progressively change with the passage of time and here the management is to carefully treat the whole conditions to make a answer. Through Sensitivity Analysis the management can obtain the best results. If the probabilities assigned to the various states of nature the results will be more refined and clear. That also increases the area of analysis in a state of condition for a business team.

Sensitivity Analysis is mostly use for the complex decision and complex data so the mostly business organizations use the sensitivity analysis computer based software’s to extract the results through it. The major use of the sensitivity analysis is in Capital Budgeting where small changes in figures and data can bring big effects in business decisions. That’s the reason that method of budgeting and forecasting is known as Sensitivity Analysis.  

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