Probability distribution of the net present value, Advanced Statistics

Assignment Help:

Suppose that $4 million is available for investment in three projects.  The probability distribution of the net present value earned from each project depends on how much is invested in each project.  Let It be the random variable denoting the net present value earned by project t.  The distribution of It depends on the amount of money invested in project t, as shown in Table 2 (a zero investment in a project always earns a zero NPV).  Use dynamic programming to determine an investment allocation that maximises the expected NPV obtained from the three investments.

Table

 

Investment (millions)

Probability

Project 1

$1

P(I1 = 2) = 0.6

P(I1 = 4) = 0.3

P(I1 = 5) = 0.1

$2

P(I1 = 4) = 0.5

P(I1 = 6) = 0.3

P(I1 = 8) = 0.2

$3

P(I1 = 6) = 0.4

P(I1 = 7) = 0.5

P(I1= 10) = 0.1

$4

P(I1 = 7) = 0.2

P(I1 = 9) = 0.4

P(I1= 10) = 0.4

Project 2

$1

P(I2 = 1) = 0.5

P(I2 = 2) = 0.4

P(I2 = 4) = 0.1

$2

P(I2 = 3) = 0.4

P(I2 = 5) = 0.4

P(I2 = 6) = 0.2

$3

P(I2 = 4) = 0.3

P(I2 = 6) = 0.3

P(I2 = 8) = 0.4

$4

P(I2 = 3) = 0.4

P(I2 = 8) = 0.3

P(I2 = 9) = 0.3

Project 3

$1

P(I3 = 0) = 0.2

P(I3 = 4) = 0.6

P(I3 = 5) = 0.2

$2

P(I3 = 4) = 0.4

P(I3 = 6) = 0.4

P(I3 = 7) = 0.2

$3

P(I3 = 5) = 0.3

P(I3 = 7) = 0.4

P(I3 = 8) = 0.3

$4

P(I3 = 6) = 0.1

P(I3 = 8) = 0.5

P(I3 = 9) = 0.4


Related Discussions:- Probability distribution of the net present value

Staitistics project, I need a statistics project done. How much will it cos...

I need a statistics project done. How much will it cost?

Quantative methods, I need help solving a problem using excel.

I need help solving a problem using excel.

Explain personal probabilities, Personal probabilities : A radically specia...

Personal probabilities : A radically special approach for allocating probabilities to events than, for instance, the commonly used long-term relative frequency approach. In this ty

Clinical vs. statistical significance, Clinical vs. statistical significanc...

Clinical vs. statistical significance : The distinction among results in terms of their possible clinical importance rather than simply in terms of their statistical importance. Wi

Conditional logistic regression, Conditional logistic regression : The form...

Conditional logistic regression : The form of logistic regression designed to work with the clustered data, such as data including matched pairs of the subjects, in which subject-s

Classification and regression tree technique (cart), Classification and reg...

Classification and regression tree technique (CART): The alternative to the multiple regression and associated techniques or methods for determining subsets of the explanatory va

Doane''s rule, A rule for computing the number of classes to use while cons...

A rule for computing the number of classes to use while constructing a histogram and  can be given by   here n is the sample size and ^ γ is the estimate of kurtosis.

Estimating functions, The functions of the data and the parameters of inter...

The functions of the data and the parameters of interest which can be brought in use to conduct inference about the parameters when full distribution of the observations is unknown

Decision tree, The graphic representation of the alternatives in a decision...

The graphic representation of the alternatives in a decision making problem which summarizes all the possibilities foreseen by the decision maker. For instance, suppose we are give

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd