Question

In: Finance

The table below shows the returns and probabilities of 3 different financial assets (A, B, C)....

The table below shows the returns and probabilities of 3 different financial assets (A, B, C). Which financial asset should be preferred according to the Risk-Return analysis? (Coefficient of Change will be calculated over Standard Deviation / Expected Return.). You can use 4 digits after the comma in your calculations.

Possibility

Return A

Return B

Return C

0.10

(-)0,09

0,01

(-)0,20

0.35

0,08

0,05

(-)0,10

0,40

0,13

0,10

0,25

0,15

0,20

0,15

0,75

I would appreciate if you show transactions

Solutions

Expert Solution

EXPECTED RETURN CALCULATION FROM FINANCIAL ASSET A =

Expected Return = SUM (Returni x Probabilityi)

Possible return from A (Xi) Probability P(Xi) Xi P(Xi)
-0.09 0.10 -0.009
0.08 0.35 0.028
0.13 0.40 0.052
0.20 0.15 0.03
X 0.101

STANDARD DEVIATION OF  FINANCIAL ASSET A

Deviation (Xi-X) DEVIATION SQUARED (Xi-X)2 Product (Xi-X)2 * P(Xi)
-0.19 0.036481 0.0036481
-0.021 0.000441 0.00015435
0.029 0.000841 0.0003364
0.10 0.009801 0.00147015
x2 0.005609

STANDARD DIVIATION = SQUIRE ROOT OF X2 = 0.07

CO- EFFICENT OF CHANGE OF ASSET A = STANDARD DEVIATION/ EXPECTED RETURN

= 0.07/ 0.101 =0.6931

EXPECTED RETURN CALCULATION FROM FINANCIAL ASSET B

Possible return from B (Xi) Probability P(Xi) Xi P(Xi)
0.01 0.10 0.001
0.05 0.35 0.018
0.10 0.40 0.040
0.15 0.15 0.023
X 0.081

STANDARD DEVIATION OF  FINANCIAL ASSET B

Deviation (Xi-X) DEVIATION SQUARED (Xi-X)2 Product (Xi-X)2 * P(Xi)
-0.07 0.005041 0.0005041
-0.031 0.000961 0.00033635
0.019 0.000361 0.0001444
0.07 0.004761 0.00071415
x2 0.001699

STANDARD DIVIATION = SQUIRE ROOT OF X2 = 0.04

CO- EFFICENT OF CHANGE OF ASSET B = STANDARD DEVIATION/ EXPECTED RETURN

=0.04/0.081 = 0.4938

EXPECTED RETURN CALCULATION FROM FINANCIAL ASSET C

Possible return from C (Xi) Probability P(Xi) Xi P(Xi)
-0.20 0.10 -0.020
-0.1 0.35 -0.035
0.25 0.40 0.100
0.75 0.15 0.113
X 0.1575

  STANDARD DEVIATION OF  FINANCIAL ASSET C

Deviation (Xi-X) DEVIATION SQUARED (Xi-X)2 Product (Xi-X)2 * P(Xi)
-0.36 0.12780625 0.012780625
-0.2575 0.06630625 0.023207188
0.0925 0.00855625 0.0034225
0.59 0.35105625 0.052658438
x2 0.09206875

STANDARD DIVIATION = SQUIRE ROOT OF X2 = 0.30

CO- EFFICENT OF CHANGE OF ASSET C = STANDARD DEVIATION/ EXPECTED RETURN

= 0.30/0.1575 = 1.9048

HERE THEEXPECTED RETURN FROM EACH INVESTMENT ARE :

ASSET A = 0.101

ASSET B = 0.081

ASSET C = 0.157

BASED ON EXPECTED RETURN THE ASSET C GIVES MORE RETURN

VOLATILITY OF ASSETS

ASSET A = 0.07

ASSET B = 0.04

ASSET C = 0.30

ASSET B IS LESS VOLATILE AS COMPARED TO THE OTHER TWO,


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