Tuesday, 3 November 2015

Single Period Capital Rationing

Single Period Capital Rationing

Single period Capital Rationing meaning the shortage of capital for one year only, normally this year is the initial year e.i. Year 0. Single Period capital rationing can be analyzed in term of divisible and non divisible project.

Single Period Rationing for Divisible Projects
A project which can be taken partially is known a divisible project. It is important to remember that some project by nature is divisible. For example construction of 100 houses is an example of divisible project. Selection of project criteria is very simple i.e. maximum NPV from the selected projects.

Selection of Divisible Projects

a.    NPV per $ Spent
NPV per unit of currency spent is calculated for each project i.e. NPV is divided by the amount of investment required.
b.    Project Ranked
Projects are ranked in order of their NPV contribution i.e. highest NPV contributing project would be undertaken in first place, then second highest contributing project , and so on unless , all funds are exhausted.
c.    Last Project
Last Project is may be partially completed or undertaken; therefore NPV shall be reduced accordingly, because projects are divisible in nature, therefore all funds shall be exhausted.

Single Period Capital Rationing Example

ABC companies has option to undertake four project, which are divisible in nature, and total Fund Available are 32 million . Suggest which of following projects should be undertaken
Project
Finance Required
NPV
A
   10
4
B
    8
3
C
   12
5
D
   20
7

Solution
1.    Ranking of Project
Project
Profitability
Ranking
A
4/10 =   .4
2nd
B
3/8   =  .375
3rd
C
5/12  = .4167
Ist
D
7/20  = .35
Fourth




2.    Project Selection
Project
Funds Allocated
NPV
Balance fund
C
12
5
20
A
10
4
10
B
8
3
2
D 10%
2
.7
0
Total
32
12.7