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

Graphical deception, Graphical deception : Statistical graphics which are n...

Graphical deception : Statistical graphics which are not as honest as they should be. It is relatively simple. To mislead the unwary with the graphical material. For instance, c

Define matching coefficient, Matching coefficient is a similarity coeffici...

Matching coefficient is a similarity coefficient for data consisting of the number of binary variables which is often used in cluster analysis. It can be given as follows    he

Hypothesis testing paper, Prepare a 1,400- to 1,750-word paper in which you...

Prepare a 1,400- to 1,750-word paper in which you formulate a hypothesis based on your selected research issue, problem, or opportunity. Address the following: •Describe your sele

Maximum likelihood estimation, Maximum likelihood estimation is an estimat...

Maximum likelihood estimation is an estimation procedure involving maximization of the likelihood or the log-likelihood with respect to the parameters. Such type of estimators is

Calculate the probability, (a) A plane timetable states that a particular p...

(a) A plane timetable states that a particular plane is due at 2pm but the actual arrival time isuniformly distributed between 1pm and 3pm. (i) Calculate the probability that th

Distance sampling, The technique of sampling used in the ecology for determ...

The technique of sampling used in the ecology for determining how much plants or animals are in a given fixed region. A set of randomly placed lines or points is recognized and the

The f-wald test, Primary Model Below is a regression analysis without ...

Primary Model Below is a regression analysis without 17 outliers that have been removed Regression Analysis: wfood versus totexp, income, age, nk The regression equat

Weighted least squares, Weighted least squares  is the method of estimation...

Weighted least squares  is the method of estimation in which the estimates arise from minimizing the weighted sum of squares of the differences between response variable and its pr

Effect sparsity, The term which is used in the industrial experimentation, ...

The term which is used in the industrial experimentation, where there is commonly a large set of candidate factors believed to have the possible significant influence on the respon

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