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FINANCE & COSTING ASSIGNMENT

Name: Max William DCosta

Roll No.: 4

Course: PGDHR 09-

11Trimester 1

Topic: Risk Evaluation

Problem

Details of two Projects are given below:

Project A Project B

Cash Flow Probability Cash Flow Probability1000 0.2 1200 0.2800 0.6 800 0.6600 0.2 400 0.2

Which project is more risky?

Solution

A) Let us calculate the Expected Cash Flow for Project A

Expected Cash Flow for Project A = (1000 x 0.2) + (800 x 0.6) + (600 x 0.2)

= 800

B) Let us calculate the Expected Cash Flow for Project A

Expected Cash Flow for Project B = (1200 x 0.2) + (800 x 0.6) + (400 x 0.2)= 800

Here we can see that 800 is the mean.

C) Let us calculate the Standard Deviation from the Mean for Project A

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Following are the steps for the calculation of Standard Deviation from the mean for

Project A.

Step 1: Calculate the Mean

The mean has already been calculated above which is 800

Step 2: Calculation of Deviation from Mean

1000 800 = 200

800 800 = 0

600 800 = -200

Step 3: Square each Deviation & Multiply by the corresponding Probabilities

(200)2 x 0.2 = 8000

(0)2 x 0.6 = 0

(-200)

2

x 0.2 = 8000

Step 4: Summation to find the Total Deviation (i.e.) Variance

= (8000 + 0 + 8000)

= 16000

Step 5: Square Root of the Total Deviation (i.e. Variance) to get the Standard

Deviation

= 16000= 126.79

D) Let us calculate the Standard Deviation from the Mean for Project B

Following are the steps for the calculation of Standard Deviation from the mean for

Project B.

Step 1: Calculate the Mean

The mean has already been calculated above which is 800

Step 2: Calculation of Deviation from Mean

1200 800 = 400

800 800 = 0

400 800 = -400

Step 3: Square each Deviation & Multiply by the corresponding Probabilities

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(400)2 x 0.2 = 32000

(0)2 x 0.6 = 0

(-400)2 x 0.2 = 32000

Step 4: Summation to find the Total Deviation (i.e.) Variance

= (32000 + 0 + 32000)

= 64000

Step 5: Square Root of the Total Deviation (i.e. Variance) to get the Standard

Deviation

= 64000= 252.98

Since the deviation (skewness) of Project B is more than that of Project A

Project B is more Risky, and hence it may rejected.

E) Also, which Project should I go for?

Project A

Variation of Project A is 126.49

Co-efficient of Variation = Standard

Deviation ()Mean

= 126.49 800= 0.158

Project B

Variation of Project B is 252.98

Co-efficient of Variation = Standard

Deviation ()Mean

= 252.98 800= 0.316

Since the Co-efficient of Variation of Project A is lower.

We will go in for Project A. Investment is recommended in Project A.

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