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

Explain household interview surveys, Household interview surveys : The surv...

Household interview surveys : The surveys in which the primary sampling units are typically geographic regions such as nations or cities. For each such unit sampled, there are addi

Decision Models., An oil company thinks that there is a 60% chance that the...

An oil company thinks that there is a 60% chance that there is oil in the land they own. Before drilling they run a soil test. When there is oil in the ground, the soil test comes

Falsediscoveryrate (fdr), The approach of controlling the error rate in an ...

The approach of controlling the error rate in an exploratory analysis where number of hypotheses are tested, but where the strict control which is provided by multiple comparison p

Determine the optimal strategy for the breeder, Consider a decision faced b...

Consider a decision faced by a cattle breeder. The breeder must decide how many cattle he should sell in the market each year and how many he should retain for breeding purposes. S

Percentage, Looking for the correct answer.Y=50+.079(149)-.261(214)=

Looking for the correct answer.Y=50+.079(149)-.261(214)=

Curse of dimensionality, The phrase first spoken by one of the witches in M...

The phrase first spoken by one of the witches in Macbeth. Now this is used to describe the exponential rise in the number of possible locations in the multivariate space as dimensi

Leaps-and-bounds algorithm, Leaps-and-bounds algorithm is an algorithm whi...

Leaps-and-bounds algorithm is an algorithm which is used to ?nd the optimal solution in problems which might have a large number of possible solutions. Begins by dividing the poss

Helmert contrast, Helmert contrast is the contrast often used in analysis ...

Helmert contrast is the contrast often used in analysis of the variance, in which each level of a factor is tested against average of the remaining levels. So, for instance, if th

Cycle hunt analysis, The procedure for clustering variables in the multivar...

The procedure for clustering variables in the multivariate data, which forms the clusters by performing one or other of the below written three operations: * combining two varia

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