portfolio management - risk & return analysis of … · 2017. 12. 30. · 2016 2656 2352 43.5...
TRANSCRIPT
http://www.iaeme.com/IJMET/index.asp 663 [email protected]
International Journal of Mechanical Engineering and Technology (IJMET)
Volume 8, Issue 12, December 2017, pp. 663–679, Article ID: IJMET_08_12_069
Available online at http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=12
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication Scopus Indexed
PORTFOLIO MANAGEMENT - RISK & RETURN
ANALYSIS OF SELECTED SCRIPTS
Dr. V. Sreehari
Professor, Department of Management Studies,
Vardhaman College of Engineering, Telangana, India
G. Ramesh
Associate Professor, Department of Management Studies,
Vardhaman College of Engineering, Telangana, India
G. Vinesh Kumar
Assistant Professor, Department of Management Studies
Vardhaman College of Engineering, Telangana, India
K. Sandeep Kumar
Assistant Professor, Department of Management Studies
Vardhaman College of Engineering, Telangana, India
ABSTRACT
Portfolio management is a process of encompassing many activities of investing in
assets and securities. It is a dynamic and flexible concept and involves regular and
systematic analysis, judgement and action. A combination of securities held together
will give a beneficial result if they grouped in a manner to secure higher returns after
taking into consideration the risk elements.
Key words: Portfolio Management, Return, Risk, Weights, Correlation.
Cite this Article: Dr. V. Sreehari, G. Ramesh, G. Vinesh Kumar and K. Sandeep
Kumar, Portfolio Management - Risk & Return Analysis of Selected Scripts,
International Journal of Mechanical Engineering and Technology 8(12), 2017, pp.
663–679.
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=12
1. INTRODUCTION
Portfolios are combinations of assets held by the investors. These combinations may be of
various asset classes like equity and debt and of different issuers like Government bond and
corporate debt or of various instruments like discount bonds, warrants, debentures and Blue
chip equity or scripts of emerging blue chip companies.
Dr. V. Sreehari, G. Ramesh, G. Vinesh Kumar and K. Sandeep Kumar
http://www.iaeme.com/IJMET/index.asp 664 [email protected]
Portfolio Management is the centralized management of the processes, methods and
technologies used by project managers and project management offices (PMOs) to analyze
and collectively manage current or proposed projects based on numerous key characteristics.
Key capabilities of Portfolio management provides program and project managers in large
program/project-driven organizations with the capabilities needed to manage the time,
resources, skills and budgets necessary to accomplish all inter-related tasks.
The traditional Portfolio Theory aims at the selection of such securities that would fit in
well with the asset preferences, need and choice of investor. Modern Portfolio Theory
postulates that maximization of return and or minimization of risk will yield optimal returns
and choice and attitudes of investors are only a starting point for investment decision and that
vigorous risk-return analysis is necessary for optimization of returns.
2. OBJECTIVES OF THE STUDY
To analyze the risk return characteristics of sample scripts.
To calculate correlation between different stocks.
To ascertain portfolio weights.
To compute portfolio returns and Risks.
To construct effective portfolio to offer maximum return with minimum risks.
3. SCOPE OF THE STUDY
The study covers analysis of selected scripts in diversified areas to study average return,
standard deviation, correlation among scripts, weights, portfolio risk and portfolio return.
4. METHODOLOGY OF THE STUDY
Research methodology is the procedure of collecting, analyzing and interpreting the data to
diagnose the problem and react to the opportunity in such a way where the costs can be
minimized and the desired level of accuracy can be achieved to arrive at a particular
conclusion.
5. SOURCES OF DATA COLLECTION
The methodology adopted or employed in this study was mostly on secondary data collection
i.e.,
Companies Annual Reports
Information from Internet
Information provided by Inter Connected Stock Exchange.
6. LIMITATIONS OF THE STUDY
Construction of Portfolio is restricted to two companies.
Very few and randomly selected scripts are analyzed from BSE Listings.
Data collection was strictly confined to secondary source. No primary data is associated with
the project.
Portfolio Management - Risk & Return Analysis of Selected Scripts
http://www.iaeme.com/IJMET/index.asp 665 [email protected]
7. DATA ANALYSIS AND INTERPRETATION
Rate of Return
Rate of Return is calculated by using formula
R =
Where:
R is Rate of Return in percentage
D is Dividend
P1 is End period stock price
P0 is Initial stock price
TCS
Year (P0) (P1) D (P1-P0)
2016 2656 2352 43.5 -304 -9.81
2015 2182 2656 79 474 25.34
2014 1515 2182 32 667 46.14
2013 1221 1515 22 294 25.88
2012 1113 1221 25 108 11.95
AVERAGE RETURN 19.90
BAJAJ AUTO
Year (P0) (P1) D (P1-P0)
2016 2135 2597 55 462 24.22
2015 1924 2135 50 211 13.57
2014 1972 1924 50 -48 0.10
2013 1799 1972 45 173 12.12
2012 1335 1799 45 464 38.13
AVERAGE RETURN 17.63
HDFC BANK
Year (P0) (P1) D (P1-P0)
2016 1052 1206 9.5 154 15.54
2015 676 1052 8 376 56.80
2014 625 676 6.85 51 9.26
2013 518 625 5.5 107 21.72
2012 410 518 4.3 108 27.39
AVERAGE RETURN 26.14
Dr. V. Sreehari, G. Ramesh, G. Vinesh Kumar and K. Sandeep Kumar
http://www.iaeme.com/IJMET/index.asp 666 [email protected]
HINDUSTAN UNILEVER
Year (P0) (P1) D (P1-P0)
2016 888 826 16 -62 -5.18
2015 555 888 15 333 62.70
2014 444 555 13 111 27.93
2013 380 444 18.5 64 21.71
2012 282 380 7.5 98 37.41
AVERAGE RETURN 28.91
AMBUJA CEMENT
Year (P0) (P1) D (P1-P0)
2016 260 206 2.8 -54 -19.69
2015 165 260 5 95 60.61
2014 192 165 3.6 -27 -12.19
2013 160 192 3.6 32 22.25
2012 118 160 3.2 42 38.31
AVERAGE RETURN 17.86
Interpretation
Average return of Hindustan Unilever (28.91%) is more compared to companies of TCS,
Bajaj Auto, HDFC Bank and Ambuja Cement. So, it is safe to invest in Hindustan Unilever to
avail greater average return.
Standard Deviation
Standard Deviation of a portfolio is calculated by using formula
Standard Deviation = Variance
Variance 2=
2
Where
n is numbers of years
R is Return &
is Average Return
TCS
Year Return (R) Average Return( )
( ( 2
2016 -9.81 19.90 -29.71 882.62
2015 25.34 19.90 5.44 29.62
2014 46.14 19.90 26.24 688.42
2013 25.88 19.90 5.98 35.75
2012 11.95 19.90 -7.95 63.22
TOTAL 1699.64
Variance 2 =
2
=
Variance 2= 339.92
Standard Deviation = Variance = 339.92 = 18.43
Portfolio Management - Risk & Return Analysis of Selected Scripts
http://www.iaeme.com/IJMET/index.asp 667 [email protected]
BAJAJ AUTO
Year Return (R) Average Return( )
( )
( 2
2016 24.22 17.63 6.59 43.43
2015 13.57 17.63 -4.06 16.48
2014 0.10 17.63 -17.52 307.09
2013 12.12 17.63 -5.51 30.33
2012 38.13 17.63 20.50 420.33
TOTAL 817.66
Variance 2=
2
=
= 163.53
Standard Deviation = Variance = 163.53 = 12.78
HDFC BANK
Year Return (R) Average Return( )
( )
( 2
2016 15.54 26.14 -10.60 112.37
2015 56.80 26.14 30.66 940.19
2014 9.26 26.14 -16.89 285.14
2013 21.72 26.14 -4.42 19.57
2012 27.39 26.14 1.25 1.56
TOTAL 1358.83
Variance 2=
2
=
= 271.76
Standard Deviation = Variance = 271.76 = 16.48
HINDUSTAN UNILEVER
Year Return (R) Average Return( )
( )
( 2
2016 -5.18 28.91 -34.09 1162.44
2015 62.70 28.91 33.79 1141.65
2014 27.93 28.91 -0.99 0.97
2013 21.71 28.91 -7.20 51.90
2012 37.41 28.91 8.50 72.20
TOTAL 2429.16
Variance 2=
2
=
2429.16) = 485.83
Standard Deviation = Variance = 485.83 = 22.04
AMBUJA CEMENT
Year Return (R) Average Return( )
( )
( 2
2016 -19.69 17.86 -37.55 1409.90
2015 60.61 17.86 42.75 1827.54
2014 -12.19 17.86 -30.04 902.63
2013 22.25 17.86 4.39 19.30
2012 38.31 17.86 20.45 418.15
TOTAL 4577.53
Variance 2=
2
=
= 915.50
Standard Deviation = Variance = 915.50 = 30.25
Dr. V. Sreehari, G. Ramesh, G. Vinesh Kumar and K. Sandeep Kumar
http://www.iaeme.com/IJMET/index.asp 668 [email protected]
Interpretation
Standard Deviation of Bajaj Auto (12.78) is lower compared to companies of TCS, HDFC
Bank , Hindustan Unilever and Ambuja Cement. So, it is safe to invest in Bajaj Auto as the
deviation is low.
Calculation of Correlation
Correlation is calculated using Correlation Coefficient
Correlation Coefficient =
Where
Covariance (COV ab) =
(RA- A) (RB- B)
n is Number of years
RA- A is Average Return of Script A
RB- B is Average Return of Script B
is Standard Deviation of Script A
is Standard Deviation of Script B
Correlation of TCS with other Companies
TCS (RA) & BAJAJ AUTO (RB)
YEAR (RA- A) (RB- B) (RA- A) (RB- B)
2016 -29.71 6.59 -195.789
2015 5.44 -4.06 -22.086
2014 26.24 -17.52 -459.725
2013 5.98 -5.51 -32.950
2012 -7.95 20.50 -162.975
-873.525
Covariance (COV ab)=
(RA- A) (RB- B) =
(-873.525) =174.705
𝛔a = 18.43 ; 𝛔b = 12.78
Correlation Coefficient=
=
= -0.742
TCS (RA) & HDFC BANK (RB)
YEAR
(RA- A)
(RB- B)
(RA- A) (RB- B)
2016 -29.71 -10.60 314.926
2015 5.44 30.66 166.790
2014 26.24 -16.89 -443.194
2013 5.98 -4.42 -26.432
2012 -7.95 1.25 -9.938
2.152
Covariance (COV ab) =
(RA- A) (RB- B) =
(2.152) = 0.430
𝛔a = 18.43; 𝛔b = 16.48
Correlation Coefficient =
=
= 0.001
Portfolio Management - Risk & Return Analysis of Selected Scripts
http://www.iaeme.com/IJMET/index.asp 669 [email protected]
TCS (RA) & Hindustan Unilever (RB)
YEAR
(RA- A)
(RB- B)
(RA- A) (RB- B)
2016 -29.71 -34.09 1012.814
2015 5.44 33.79 183.818
2014 26.24 -0.99 -25.978
2013 5.98 -7.20 -43.056
2012 -7.95 8.50 -67.575
1060.023
Covariance (COV ab) =
(RA- A) (RB- B) =
(1060.023) = 212.005
𝛔a =18.43; b = 22.04
Correlation Coefficient=
=
= 0.522
TCS (RA) & AMBUJA CEMENT (RB)
YEAR (RA- A) (RB- B) (RA- A) (RB- B)
2016 -29.71 -37.55 1115.611
2015 5.44 42.75 232.560
2014 26.24 -30.04 -788.250
2013 5.98 4.39 26.252
2012 -7.95 20.45 -162.578
423.595
Covariance (COV ab) =
(RA- A) (RB- B) =
(423.595) = 84.719
𝛔a = 18.43; 𝛔b = 30.25
Correlation Coefficient=
=
= 0.152
Correlation of Bajaj Auto with other Companies
BAJAJ AUTO (RA) & HDFC BANK (RB)
YEAR (RA- A) (RB- B) (RA- A) (RB- B)
2016 6.59 -10.60 -69.854
2015 -4.06 30.66 -124.480
2014 -17.52 -16.89 295.913
2013 -5.51 -4.42 24.354
2012 20.50 1.25 25.625
151.558
Covariance (COV ab) =
(RA- A) (RB- B) =
(151.558) = 30.312
𝛔a = 12.78; b = 16.48
Correlation Coefficient=
=
= 0.144
Dr. V. Sreehari, G. Ramesh, G. Vinesh Kumar and K. Sandeep Kumar
http://www.iaeme.com/IJMET/index.asp 670 [email protected]
BAJAJ AUTO (RA) & HINDUSTAN UNILEVER (RB)
YEAR (RA- A) (RB- B) (RA- A) (RB- B)
2016 6.59 -34.09 -224.653
2015 -4.06 33.79 -137.187
2014 -17.52 -0.99 17.345
2013 -5.51 -7.20 39.672
2012 20.50 8.50 174.250
-130.573
Covariance (COV ab) =
(RA- A) (RB- B) =
(-130.573) = -26.115
𝛔a = 12.78; b = 22.04
Correlation Coefficient=
=
= -0.093
BAJAJ AUTO (RA) & AMBUJA CEMENT (RB)
YEAR (RA- A) (RB- B) (RA- A) (RB- B)
2016 6.59 -37.55 -247.455
2015 -4.06 42.75 -173.565
2014 -17.52 -30.04 526.301
2013 -5.51 4.39 -24.189
2012 20.50 20.45 419.225
500.317
Covariance (COV ab) =
(RA- A) (RB- B) =
(500.317) = 100.063
𝛔a = 12.78; 𝛔b = 30.25
Correlation Coefficient =
=
= 0.259
Correlation of HDFC Bank with other Companies
HDFC BANK (RA) &HINDUSTAN UNILEVER (RB)
YEAR (RA- A) (RB- B) (RA- A) (RB- B)
2016 -10.60 -34.09 361.354
2015 30.66 33.79 1036.001
2014 -16.89 -0.99 16.721
2013 -4.42 -7.20 31.824
2012 1.25 8.50 10.625
1456.525
Covariance (COV ab) =
(RA- A) (RB- B) =
(1456.525) = 291.305
𝛔a = 16.48; b = 22.04
Correlation Coefficient =
=
= 0.802
Portfolio Management - Risk & Return Analysis of Selected Scripts
http://www.iaeme.com/IJMET/index.asp 671 [email protected]
HDFC BANK (RA) & AMBUJA CEMENT (RB)
YEAR (RA- A) (RB- B) (RA- A) (RB- B)
2016 -10.60 -37.55 398.030
2015 30.66 42.75 1310.715
2014 -16.89 -30.04 507.376
2013 -4.42 4.39 -19.404
2012 1.25 20.45 25.563
2222.280
Covariance (COV ab) =
(RA- A) (RB- B) =
(2222.280) = 444.456
𝛔a = 16.48; 𝛔b = 30.25
Correlation Coefficient =
=
= 0.892
Correlation of Hindustan Unilever with other Companies
HINDUSTAN UNILEVER (RA) & AMBUJA CEMENT (RB)
YEAR (RA- A) (RB- B) (RA- A) (RB- B)
2016 -34.09 -37.55 1280.080
2015 33.79 42.75 1444.523
2014 -0.99 -30.04 29.740
2013 -7.20 4.39 -31.608
2012 8.50 20.45 173.825
2896.560
Covariance (COV ab) =
(RA- A) (RB- B) =
(2896.560) = 579.312
𝛔a = 22.04; 𝛔b = 30.25
Correlation Coefficient =
=
= 0.869
Interpretation
The Correlation between HDFC Bank and Ambuja cement is good compared to relation between other
companies.
8. CALCULATION OF PORTFOLIO WEIGHTS
Portfolio weights are calculated using the formula
Wa=
Wb= 1-Wa
Where
Wa is Weight of Portfolio a
Wb is Weight of Portfolio b
𝛔a is Standard Deviation of Script a
𝛔b is Standard Deviation of Script b
nab is Correlation coefficient of Script a and b
Dr. V. Sreehari, G. Ramesh, G. Vinesh Kumar and K. Sandeep Kumar
http://www.iaeme.com/IJMET/index.asp 672 [email protected]
Calculation of Weights of TCS with other Companies
TCS (Wa) & BAJAJ AUTO (Wb)
𝛔a = 18.43, 𝛔b = 12.78, nab = -0.742
Wa =
=
Wa = 0.396
Wb = 1 – (0.396) = 0.604
TCS (Wa) & HDFC BANK (Wb)
𝛔a = 18.43, 𝛔b= 16.48, nab = 0.001
Wa =
=
Wa = 0.444
Wb = 1 - (0.444) = 0.556
TCS (Wa) & HINDUSTAN UNILEVER (Wb)
𝛔a = 18.43, 𝛔b= 22.04, nab = 0.522
Wa =
=
Wa = 0.682
Wb = 1 – (0.682) = 0.318
TCS (Wa) & AMBUJA CEMENT (Wb)
𝛔a = 18.43, 𝛔b= 30.25, nab = 0.152
Wa =
Wa =
= 0.765
Wb = 1 – (0.765) = 0.235
Calculation of Weights of Bajaj Auto with other Companies
BAJAJ AUTO (Wa) & HDFC BANK (Wb)
𝛔a= 12.78, 𝛔b= 16.48, nab = 0.144
Wa =
=
Wa = 0.645
Wb = 1 – (0.645) = 0.355
Portfolio Management - Risk & Return Analysis of Selected Scripts
http://www.iaeme.com/IJMET/index.asp 673 [email protected]
BAJAJ AUTO (Wa) & HINDUSTAN UNILEVER (Wb)
𝛔a = 12.78, 𝛔b = 22.04, nab = -0.093
Wa =
=
Wa = 0.730
Wb = 1 – (0.730) = 0.270
BAJAJ AUTO (Wa) & AMBUJA CEMENT (Wb)
𝛔a = 12.78, 𝛔b = 30.25, nab = 0.259
Wa =
Wa =
= 0.928
Wb = 1 – (0.928) = 0.072
Calculation of Weights of HDFC Bank with other Companies
HDFC BANK (Wa) & HINDUSTAN UNILEVER (Wb)
𝛔a = 16.48, 𝛔b = 22.04, nab = 0.802
Wa =
Wa =
= 1.113
Wb = 1 – (1.113) = -0.113
HDFC BANK (Wa) & AMBUJA CEMENT (Wb)
𝛔a = 16.48, 𝛔b= 30.25, nab = 0.892
Wa =
Wa =
= 1.582
Wb = 1 – (1.582) = -0.582
Calculation of Weights of Hindustan Unilever with other Companies
HINDUSTAN UNILEVER (Wa) & AMBUJA CEMENT (Wb)
𝛔a = 22.04, 𝛔b= 30.25, nab = 0.869
Wa =
Wa =
= 1.387
Wb = 1 – (1.387) = -0.387
Interpretation
Among all the scripts the weights of TCS & Bajaj Auto (0.396 & 0.604) and TCS
&HDFCBank(0.444 & 0.556) are good compared to all the companies.
Dr. V. Sreehari, G. Ramesh, G. Vinesh Kumar and K. Sandeep Kumar
http://www.iaeme.com/IJMET/index.asp 674 [email protected]
9. CALCULATION OF PORTFOLIO RISK
Portfolio risk is calculated using the formula
RP = (𝛔a *Wa) 2 + (𝛔b*Wb)
2 + 2* 𝛔a * 𝛔b*Wa*Wb*nab
Where
Rp is portfolio Risk
𝛔a is Standard Deviation of Script a
𝛔bis Standard Deviation of Script b
Wa is Weight of script a
Wbis Weight of script b
nab is Correlation coefficient of script a & b
Calculation of Portfolio Risk of TCS with other Companies
TCS (a) & BAJAJ AUTO (b):
𝛔a = 18.43, 𝛔b= 12.78, Wa=0.396, Wb = 0.604,nab = -0.742
RP= (18.43*0.396)2+(12.78*0.604)
2+2(18.43)*(12.78)*(0.396)*(0.604)*(-0.742)
RP = 5.408
TCS (a) & HDFC BANK (b):
𝛔a = 18.43, 𝛔b= 16.48, Wa= 0.444, Wb = 0.556, nab = 0.001
RP= (18.43*0.444)2+(12.78*0.604)
2+2(18.43)*(16.48)*(0.444)*(0.556)*(0.001)
RP = 12.291
TCS (a) &HINDUSTAN UNILEVER (b):
𝛔a = 18.43, 𝛔b= 22.04, Wa= 0.682, Wb = 0.318, nab = 0.522
RP= (18.43*0.682)2+(22.04*0.318)
2+2(18.43)*(22.04)*(0.682)*(0.318)*(0.001)
RP = 17.294
TCS (a) & AMBUJA CEMENT (b):
𝛔a = 18.43, 𝛔b= 30.25, Wa= 0.765, Wb = 0.235, nab = 0.152
RP =(18.43*0.765)2+(30.25*0.235)
2+2(18.43)(30.25)(0.765)(0.235)(0.152)
RP = 16.727
Calculation of Portfolio Risk of Bajaj Auto with other Companies
BAJAJ AUTO (a) & HDFC BANK (b):
𝛔a = 12.78, 𝛔b= 16.48, Wa= 0. 645, Wb = 0.355, nab = 0.144
RP= (12.78*0.645)2+ (16.48*.355)
2+2(12.78)(16.48)(0.645)(0.355)(0.144)
RP = 10.773
Portfolio Management - Risk & Return Analysis of Selected Scripts
http://www.iaeme.com/IJMET/index.asp 675 [email protected]
BAJAJ AUTO (a) &HINDUSTAN UNILEVER (b):
𝛔a = 12.78, 𝛔b = 22.04, Wa= 0. 730, Wb = 0.270, nab = -0.093
RP =(12.78*0.73)2+ (22.04*.27)
2+2(12.78)(22.04)(0.73)(0.27)(-0.093)
RP = 10.589
BAJAJ AUTO (a) & AMBUJA CEMENT (b):
𝛔a = 12.78, 𝛔b= 30.25, Wa= 0. 928, Wb = 0.072, nab = 0.259
RP = (12.78*0.928)2+(30.25*0.072)
2+2(12.78)(30.25)(0.928)(0.072)(0.259)
RP = 12.601
Calculation of Portfolio Risk of HDFC Bank with other Companies
HDFC BANK (a) & HINDUSTAN UNILEVER (b):
𝛔a = 16.48, 𝛔b= 22.04, Wa= 1.113, Wb = -0.113, nab = 0.802
Rp = (16.48*1.113)2+(22.04*(-0.113))
2+2(16.48)*(22.04)(1.113)(-0.113)(0.802)
RP = 16.412
HDFC BANK (a) & AMBUJA CEMENT (b):
𝛔a = 16.48, 𝛔b= 30.25, Wa= 1.582, Wb = -0.582, nab = 0.892
Rp = (16.48*1.582)2+(30.25*(-0.582))
2+2(16.48)(30.25)(1.582)(-0.582)(0.892)
RP = 13.07
Calculation of Portfolio Risk of Hindustan Unilever with other Companies
𝛔a = 22.04, 𝛔b = 30.25, Wa= 1.387, Wb = -0.387, nab = 0.869
Rp = (22.04*1.387)2+(30.25*(-0.387))
2+2(22.04)(30.25)(1.387)(-0.387)(0.869)
RP = 21.203
Interpretation
Among all the companies Risk is low for TCS & Bajaj Auto (5.408). So, it is safe to invest in
TCS & Bajaj Auto as the risk is low compared to all other companies.
10. CALCULATION OF PORTFOLIO RETURNS
Portfolio Return is calculated using the formula
Rp=(RA*WA) + (RB*WB)
Where
Rpis Portfolio return
RAis Return of Script A
RBis Return of Script B
WAis Weight of Script A
WBis Weight of Script B
Dr. V. Sreehari, G. Ramesh, G. Vinesh Kumar and K. Sandeep Kumar
http://www.iaeme.com/IJMET/index.asp 676 [email protected]
Calculation of Portfolio Return of TCS with other Companies
TCS (A) & BAJAJ AUTO (B):
RA = 19.90, RB = 17.63, WA = 0.396, WB = 0.604
Rp = (19.90*0.396) + (17.63*0.604) = 18.529
TCS (A) & HDFC BANK (B):
RA = 19.90, RB = 26.14, WA = 0.444, WB = 0.556
Rp = (19.90*0.444) + (26.14*0.556) = 23.369
TCS (A) & HINDUSTAN UNILEVER (B):
RA = 19.90, RB = 28.91, WA = 0.682, WB = 0.318
Rp = (19.90*0.682) + (28.91*0.318) = 22.765
TCS (A) & AMBUJA CEMENT (B):
RA = 19.90, RB = 17.86, WA = 0.765, WB = 0.235
Rp = (19.90*0.765) + (17.86*0.235) = 19.421
Calculation of Portfolio Return of Bajaj Auto with other Companies
BAJAJ AUTO (A) & HDFC BANK (B):
RA = 17.63, RB = 26.14, WA = 0.645, WB = 0.355
Rp = (17.63*0.645) + (26.14*0.355) = 20.651
BAJAJ AUTO (A) & HINDUSTAN UNILEVER (B):
RA = 17.63, RB = 28.91, WA = 0.730, WB = 0.270
Rp = (17.63*0.730) + (28.91*0.270) = 20.676
BAJAJ AUTO (A) & AMBUJA CEMENT (B):
RA = 17.63, RB = 17.86, WA = 0.928, WB = 0.072
Rp = (17.63*0.928) + (17.86*0.072) = 17.647
Calculation of Portfolio Return of HDFC Bank with other Companies
HDFC BANK (A) & HINDUSTAN UNILEVER (B):
RA = 26.14, RB = 28.91, WA =1.113, WB = -0.113
Rp = (26.14*1.113) + (28.91*(-0.113)) = 25.827
HDFC BANK (A) & AMBUJA CEMENT (B):
RA = 26.14, RB = 17.86, WA =1.582 ,WB = -0.582
Rp = (26.14*1.582) + (17.86*(-0.582)) = 30.959
Calculation of Portfolio Return of Hindustan Unilever with other Companies
HINDUSTAN UNILEVER (A) & AMBUJA CEMENT (B):
RA = 28.91, RB = 17.86, WA =1.387 WB = -0.387
Rp = (28.91*1.387) + (17.86*(-0.387)) = 33.186
Interpretation
Return is more in Hindustan Unilever & Ambuja cement (33.186) compared to all other
companies. So, it is safe to invest in Hindustan Unilever & Ambuja cement to gain more
returns.
Portfolio Management - Risk & Return Analysis of Selected Scripts
http://www.iaeme.com/IJMET/index.asp 677 [email protected]
Comparative Return & Risk of Selected Scripts
Portfolio Return & Risk For Scripts a & b Portfolio Risk Portfolio Return
TCS & Bajaj Auto 5.408 18.529
TCS & HDFC Bank 12.291 23.369
TCS & Hindustan Unilever 17.294 22.765
TCS & Ambuja Cement 16.727 19.421
Bajaj Auto & HDFC Bank 10.773 20.651
Bajaj Auto & Hindustan Unilever 10.589 20.676
Bajaj Auto & Ambuja Cement 12.601 17.647
HDFC Bank & Hindustan Unilever 16.412 25.827
HDFC Bank & Ambuja Cement 13.07 30.959
Hindustan Unilever & Ambuja Cement 21.203 33.186
Interpretation
Among all the companies HDFC Bank & Ambuja cement has less risk & higher return. So, it
is safe to invest in HDFC Bank & Ambuja cement in order to gain more Returns with less
Risk.
11. FINDINGS
Individual returns on the selected stocks of TCS, BAJAJ AUTO, HDFC Bank, Hindustan
Unilever & AMBUJA CEMENT are 19.90%, 17.63%, 26.14%, 28.91% and 17.86%
respectively.
Individual risks on the selected stocks including TCS, BAJAJ AUTO, HDFC Bank, Hindustan
Unilever & AMBUJA CEMENT are 18.43%, 12.78%, 16.48%, 22.04% and 30.25%
respectively
Correlation between all the companies is positive except TCS & Bajaj Auto Stocks and
Hindustan Unilever & BAJAJ AUTO stocks which means most of the combinations of
portfolios are at good position to gain in future.
Weights of TCS & Bajaj Auto (0.396,0.604), TCS & HDFC (0.444,0.556), TCS & Hindustan
Unilever (0.682,0.318) ,TCS & Ambuja Cement (0.765,0.235), Bajaj Auto & HDFC Bank
(0.645,0.355), Bajaj Auto & Hindustan Unilever (0.73,0.27), Bajaj Auto & Ambuja cement
(0.928,0.072) are positive compared to HDFC Bank & Hindustan Unilever (1.113,-0.113),
HDFC Bank & Ambuja Cement(1.582,-0.582), Hindustan Unilever & Ambuja Cement
(1.387,-0.387) are negative. The weight of Scripts are based on the percentage of weights
invested.
Portfolios returns of Hindustan Unilever & Ambuja Cement(33.186%) followed by HDFC
Bank & Ambuja Cement (30.959%), HDFC Bank & Hindustan Unilever (25.827%) TCS and
HDFC Bank (23.369%) stood on the top while Portfolio Returns of Bajaj Auto & Ambuja
Cement (17.647%) is the only combination which stood at the bottom with minimum profits.
Portfolios risk of Hindustan Unilever & Ambuja Cement (21.203%) and TCS & Hindustan
Unilever (17.294%) are very high compared to others while Portfolio risk of TCS & Bajaj
Auto (5.408%) stood at the bottom.
12. SUGGESTIONS
Of the five stocks selected, all the stocks have given positive returns. HDFC Bank and HUL
has been giving good profits of over 25% while the other companies have also given good
returns. All the companies seem to be a good bet for investment.
Dr. V. Sreehari, G. Ramesh, G. Vinesh Kumar and K. Sandeep Kumar
http://www.iaeme.com/IJMET/index.asp 678 [email protected]
Comparing the individual risks, HUL and AMBUJA CEMENT are high risky compared to the
other securities like BAJAJ AUTO, and HDFC and it is suggested that the investors should be
careful while investing in high risk securities.
The investors who require average returns with low risk can invest in Hindustan Unilever
Investors are advised to invest in Portfolios of Ambuja Cements & Hindustan Unilever (33%)
and Ambuja Cements & HDFC Bank (31%) which have given the maximum returns.
Low Risk investors are advised to keep away from HUL & AMBUJA CEMENT and
Hindustan Unilever & HDFC Bank and prefer the Portfolios of Bajaj Auto with other
companies which have the least risk.
13. CONCLUSIONS
The main objective of the Portfolio management is to help the investors to make wise choice
between alternate investments without a post trading shares. Any portfolio management must
specify the objectives like maximum returns, optimum Returns, capital appreciation, safety
etc., in the same prospectus.
This service renders optimum returns to the investors by proper selection and continuous
shifting of portfolio from one scheme to another scheme of from one plan to another plan
within the same scheme. “Greater portfolio return with less risk is always is an attractive
combination” for the investors.
REFERENCES
[1] Punithavathy Pandian (2009), Security Analysis and Portfolio Management, Vikas
Publishing House Private Limited, New Delhi.
[2] S. Kevin (2009), Security Analysis and Portfolio Management, Prentice Hall of India,
New Delhi.
[3] Donald E. Fischer, Ronald J. Jordan (2009), Security Analysis and Portfolio Management,
Prentice Hall of India, New Delhi.
[4] Prasanna Chandra (2009), Investment Analysis and Portfolio Management, Tata McGraw
Hill, New Delhi.
[5] S. Raghavan and Dr. M. Selvam, Determinants of Foreign Portfolio Investment and Their
Effects on The Indian Stock Market. International Journal of Management, 8(3), 2017, pp.
105–115.
[6] Hasanudin, Sugeng Wahyudi, Irene Rini Demi Pangestuti., Managing The Pension Fund
To Improve Portfolio Performance: An Empirical Study On Employer Pension Funds In
Indonesia, International Journal of Civil Engineering and Technology, 8(8), 2017, pp.
714–723.
[7] Dr. Vani Kamath and Dr. Roopali Patil, Cost Benefit Analysis of National Pension
Scheme. International Journal of Management, 8 (3), 2017, pp.156-158.
[8] Dr. Varsha Nerlekar and Swapnil Patel, An Empirical Analysis of Inventory Efficiency of
Major Refineries in India. International Journal of Management, 7(7), 2016, pp. 426–432.
[9] A. Ramaraju, Impact of FDI On Stock Market Development: An Empirical Investigation,
International Journal of Management , Volume 2, Number 1, Jan- April (2011)
[10] Benefits of FDI In Indian Retail Sector and Custome r Perception of Organized Retail
Outlets In Hyderabad, K.Venkateswara Raju, Dr. Svss Srinivasa Raju, Dr. D.Prasanna
Kumar, International Journal of Management , Volume 4, Issue 4, July-August (2013), pp.
180-192
Portfolio Management - Risk & Return Analysis of Selected Scripts
http://www.iaeme.com/IJMET/index.asp 679 [email protected]
[11] http://indiainfoline.com
[12] http://bloomberg.com
[13] http://moneycontrol.com/nifty/nse
[14] http://moneycontrol.com/sensex/bse
[15] http://scribd.com
[16] http://economictimes.indiatimes.com
[17] http://profit.ndtv.com
[18] http://money.rediff.com