Determine investment allocation that maximises expect npv, Cost Accounting

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 (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:- Determine investment allocation that maximises expect npv

Equivalent value of any non-cash assets received, The principle that (1) re...

The principle that (1) requires revenue to be recognized at the time it is earned, (2) allows the inflow of assets associated with revenue to be in a form other than cash and (3) m

Principle of accounting, what is the implication of applying accounting pr...

what is the implication of applying accounting principle wrongly

Cost and budget, Frame-it Ltd is a manufacturer of metal picture frames. Th...

Frame-it Ltd is a manufacturer of metal picture frames. The firm's two product lines are designate S (small frames: 12 x18 cm) and L (large frames: 20 x 25 cm). The primary raw mat

Commodities to stock, Commodities to Stock Employ Material Req...

Commodities to Stock Employ Material Requirement Planning From the Master Production Schedule the manager has determined such the products to be produced. A

Limitations of budgeting, Limitations of Budgeting 1. Too mush relian...

Limitations of Budgeting 1. Too mush reliance may reason resistance or inflexibility to change. 2. Difficult to set levels of attainment. It may result into too tight budg

Business process mapping, Using some variation of business process mapping,...

Using some variation of business process mapping, graph out the mango concentrate supply chain focusing on when cost is added to the supply chain. (i.e. Display/draw the process

Determine growth rate, (a)  The value of a share of Rio National Equity on...

(a)  The value of a share of Rio National Equity on 31 December 2002, using the Gordon growth model and the capital asset pricing model, can be determined as follows. Required

Wacc under every of the capital structures, Imperial Sandwich Plc is to be ...

Imperial Sandwich Plc is to be established shortly. The founders are considering their options with regard to capital structure. A total of £5 m will be required to establish the b

Inventory management and control, Inventory Management and Control Her...

Inventory Management and Control Here the objectives of inventory management are as: 1. To ensure adequate stocks to permit for continuous production/operations, and

Overhead variances, Overhead Variances This explains how the variable ...

Overhead Variances This explains how the variable overhead total variance and the fixed overhead total variances calculated. You can recall the overheads refer to production c

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