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

Individual differences, Individual differences scaling is a form of multid...

Individual differences scaling is a form of multidimensional scaling applicable to the data comprising of a number of proximity matrices from the different sources that is differe

Mobile Marketing statistics., 1) Has smartphones affected the consumer beh...

1) Has smartphones affected the consumer behavior? If so How ? And how is it going to change in future? 2) Forecasting of Mobile market (Time series analysis) 3) Comparison of fou

Two - stage distillation process, A mixture of benzene, toluene, and xylene...

A mixture of benzene, toluene, and xylene enters a two-stage distillation process where some of the componentsare recovered. The distillation process operates at steady-state condi

Correlated failure times, Data which occur when failure period is recorded ...

Data which occur when failure period is recorded which are dependent. Such type of data can arise in number contexts, for instance, in epidemiological cohort studies in which th

Historigram, difference between histogram and historigram

difference between histogram and historigram

Rates of return, An investor with a stock portfolio sued his broker, claimi...

An investor with a stock portfolio sued his broker, claiming that a lack of diversification in his portfolio had led to poor performance. The data, shown below, are the rates of re

Define probability judgements, Probability judgements : Human beings often ...

Probability judgements : Human beings often require assessing the probability which some event will occur and accuracy of these probability judgements often determines success of o

Define hazard function, Hazard function : The risk which an individual expe...

Hazard function : The risk which an individual experiences an event in a small time interval, given that the individual has survived up to the starting of the interval. It is th

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

Direct edacyclic graph, Formal graphical representation of the "causal diag...

Formal graphical representation of the "causal diagrams" or the "path diagrams" where the  relationships are directed but acyclic (that is no feedback relations allowed). Plays an

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