financial markets

profileangei112
StockSpreadsheet.xlsx

Sheet 1

Examining Risk and Return Characteristics of a Two Asset Portfolio
Profile of Individual Assets
Asset Expected Return Risk
1 15% 10%
2 30% 15%
Correltion coefficient of returns between the assets = 1
Weights Portfolio
Portfolio # Asset 1 Asset 2 Standard Deviation Expected Return
1 100% 0% 10.00% 15.00%
2 90% 10% 10.50% 16.50%
3 80% 20% 11.00% 18.00%
4 70% 30% 11.50% 19.50%
5 60% 40% 12.00% 21.00%
6 50% 50% 12.50% 22.50%
7 40% 60% 13.00% 24.00%
8 30% 70% 13.50% 25.50%
9 20% 80% 14.00% 27.00%
10 10% 90% 14.50% 28.50%
11 0% 100% 15.00% 30.00% <=B25*$B$7+C25*$B$8
=SQRT(B25^2*$C$7^2+C25^2*$C$8^2+2*$F$10*B25*C25*$C$7*$C$8)

Two Asset Portfolio

Expected Return 0.1 0.105 0.11 0.115 0.12000000000000001 0.125 0.13 0.13499999999999998 0.14000000000000001 0.14500000000000002 0.15 0.15 0.16500000000000001 0.18 0.19500000000000001 0.21 0.22499999999999998 0.24 0.255 0.27 0.28500000000000003 0.3

Risk (Standard Deviation) %

Return %

Sheet 2

Quarterly Return of Selected Funds during the Past Five Years Summary of Return and Risk Variance-Covariance Matrix
Fund # MF1 MF2 MF3 MF4 MF5 MF6 MF7 MF8 MF9 MF10 Fund # MF1 MF2 MF3 MF4 MF5 MF6 MF7 MF8 MF9 MF10
Quarter ICICI Pru Focused Bluechip Eqty (G) Quantum Long-Term Equity (G) DSP-BR Micro Cap Fund - RP (G) SBI Emerging Busi (G) Reliance Equity Oppor - RP (G) ICICI Pru Exp&Other Services-RP (G) HDFC Balanced Fund (G) HDFC Prudence Fund (G) Birla Sun Life GSec - LTF (G) R* Shares Golld ETF Fund Name ICICI Pru Focused Bluechip Eqty (G) Quantum Long-Term Equity (G) DSP-BR Micro Cap Fund - RP (G) SBI Emerging Busi (G) Reliance Equity Oppor - RP (G) ICICI Pru Exp&Other Services-RP (G) HDFC Balanced Fund (G) HDFC Prudence Fund (G) Birla Sun Life GSec - LTF (G) R* Shares Golld ETF Formula in previous column ICICI Pru Focused Bluechip Eqty (G) Quantum Long-Term Equity (G) DSP-BR Micro Cap Fund - RP (G) SBI Emerging Busi (G) Reliance Equity Oppor - RP (G) ICICI Pru Exp&Other Services-RP (G) HDFC Balanced Fund (G) HDFC Prudence Fund (G) Birla Sun Life GSec - LTF (G) R* Shares Golld ETF Formula in previous column
2009 Q1 2.90% 0.10% -13.70% -14.70% -6.40% -11.40% -1.00% -4.20% 7.40% 10.40% Average Return per Quarter 5.19% 5.27% 6.59% 5.44% 5.76% 5.93% 5.03% 4.74% 2.21% 3.08% < =AVERAGE(M6:M25) ICICI Pru Focused Bluechip Eqty (G) 4.61% 5.15% 7.33% 6.62% 5.84% 5.28% 4.00% 5.19% 0.18% -0.87% < =COVAR($D:$D,M:M)*4
2009 Q2 41.60% 44.30% 66.00% 66.20% 47.50% 49.10% 37.60% 47.00% 4.70% -4.10% Annual Return 22.43% 22.78% 29.08% 23.60% 25.08% 25.89% 21.69% 20.33% 9.14% 12.90% < =(1+AA6)^4-1 Quantum Long-Term Equity (G) 5.15% 5.89% 8.48% 7.46% 6.74% 5.98% 4.59% 5.93% 0.21% -0.82% < =COVAR($E:$E,M:M)*4
2009 Q3 19.20% 23.40% 30.50% 15.70% 27.40% 19.80% 14.10% 18.20% 1.80% 7.70% Variance per Quarter 1.15% 1.47% 3.51% 2.85% 2.03% 1.84% 1.00% 1.59% 0.07% 0.64% < =VARP(M6:M25) DSP-BR Micro Cap Fund - RP (G) 7.33% 8.48% 14.06% 11.83% 10.24% 9.04% 7.31% 9.11% 0.20% -1.44% < =COVAR($F:$F,M:M)*4
2009 Q4 -0.20% -0.20% 14.10% -0.20% -0.20% 5.60% 8.50% -0.20% 1.70% -0.20% Annual Variance of Returns 4.61% 5.89% 14.06% 11.42% 8.11% 7.35% 4.00% 6.37% 0.28% 2.56% < =4*AA8 SBI Emerging Busi (G) 6.62% 7.46% 11.83% 11.42% 8.93% 7.85% 6.22% 8.13% 0.23% -1.47% < =COVAR($G:$G,M:M)*4
2010 Q1 3.40% 1.90% 9.20% 4.60% 5.40% 1.80% 4.00% 4.10% 1.20% -2.80% Srandard Deviation of Returns 21.47% 24.26% 37.49% 33.79% 28.48% 27.11% 20.01% 25.25% 5.32% 16.01% < =SQRT(AA9) Reliance Equity Oppor - RP (G) 5.84% 6.74% 10.24% 8.93% 8.11% 6.90% 5.46% 7.04% 0.16% -1.09% < =COVAR($H:$H,M:M)*4
2010 Q2 2.90% 6.10% 9.40% 0.20% 5.00% 0.40% 6.70% 6.60% 5.70% 14.20% ICICI Pru Exp&Other Services-RP (G) 5.28% 5.98% 9.04% 7.85% 6.90% 7.35% 4.79% 5.99% -0.23% -1.12% < =COVAR($I:$I,M:M)*4
2010 Q3 15.40% 16.20% 14.20% 19.10% 18.30% 14.30% 9.90% 12.50% 1.40% 1.50% HDFC Balanced Fund (G) 4.00% 4.59% 7.31% 6.22% 5.46% 4.79% 4.00% 4.93% 0.17% -0.81% < =COVAR($J:$J,M:M)*4
2010 Q4 1.20% 0.20% -4.40% 0.10% -2.60% -1.90% 0.60% -0.70% 1.10% 7.30% Annual HDFC Prudence Fund (G) 5.19% 5.93% 9.11% 8.13% 7.04% 5.99% 4.93% 6.37% 0.27% -1.14% < =COVAR($K:$K,M:M)*4
2011 Q1 -2.60% -5.80% -14.70% -9.00% -7.30% -4.90% -3.10% -3.20% 1.20% 1.30% Fund Return Weights Birla Sun Life GSec - LTF (G) 0.18% 0.21% 0.20% 0.23% 0.16% -0.23% 0.17% 0.27% 0.28% -0.23% < =COVAR($L:$L,M:M)*4
2011 Q2 -1.00% -2.50% 1.50% 4.90% 2.60% -2.70% 4.60% 1.60% 1.10% 4.90% ICICI Pru Focused Bluechip Eqty (G) 22.43% 20.00% R* Shares Golld ETF -0.87% -0.82% -1.44% -1.47% -1.09% -1.12% -0.81% -1.14% -0.23% 2.56% < =COVAR($M:$M,M:M)*4
2011 Q3 -9.40% -8.70% -5.20% -1.40% -8.90% -10.70% -5.10% -6.80% 1.40% 19.20% Quantum Long-Term Equity (G) 22.78% 0.00%
2011 Q4 -2.40% -4.00% -13.50% -8.10% -8.50% -7.30% -6.60% -7.50% 3.20% 2.00% DSP-BR Micro Cap Fund - RP (G) 29.08% 0.00%
2012 Q1 12.70% 17.10% 20.00% 14.60% 21.10% 17.80% 15.50% 16.00% 2.00% 3.80% SBI Emerging Busi (G) 23.60% 0.00%
2012 Q2 -0.60% -1.90% 0.40% 3.10% 1.40% -3.20% -0.80% -1.10% 3.40% 3.50% Reliance Equity Oppor - RP (G) 25.08% 0.00%
2012 Q3 8.10% 8.60% 9.60% 10.20% 10.70% 9.30% 6.20% 6.50% 2.00% 5.20% ICICI Pru Exp&Other Services-RP (G) 25.89% 20.00%
2012 Q4 4.40% 3.80% 4.50% 13.00% 5.40% 5.20% 2.50% 5.10% 2.40% -2.30% HDFC Balanced Fund (G) 21.69% 20.00%
2013 Q1 -4.90% -3.90% -15.80% -12.50% -7.90% 1.90% -5.80% -8.60% 2.60% -2.80% HDFC Prudence Fund (G) 20.33% 0.00%
2013 Q2 1.80% -0.60% -0.70% -1.70% -3.10% 2.10% -0.30% -0.40% 5.20% -15.60% Birla Sun Life GSec - LTF (G) 9.14% 20.00%
2013 Q3 1.30% -1.10% -4.50% -8.40% -4.30% 17.00% -2.30% -7.30% -6.60% 16.00% R* Shares Golld ETF 12.90% 20.00%
2013 Q4 10.00% 12.30% 24.90% 13.10% 19.50% 16.30% 15.40% 17.10% 1.30% -7.60%
Total weights 100.00% < =SUM(R15:R24)
Return 18.41% < =MMULT(TRANSPOSE(R15:R24),Q15:Q24)
Variance 1.64% < =MMULT(MMULT(TRANSPOSE(R15:R24),AD6:AM15),R15:R24)
Standard Deviation 12.82% < =SQRT(S29)
Sharpe Ratio 0.8119799101 < =(S28-0.08)/S30 (assuming risk free rate is 8%)
To maximise Sharpe Ratio, Solver can be used.
The market portfolio has following characteristics
Expected Return = 18.41%
Standard Deviation = 12.82%
Final Portfolio
Weights
Asset Annual Return Market Portfolio Final Portfolio
ICICI Pru Focused Bluechip Eqty (G) 22.43% 20.00% 15.60%
Quantum Long-Term Equity (G) 22.78% 0.00% 0.00%
DSP-BR Micro Cap Fund - RP (G) 29.08% 0.00% 0.00%
SBI Emerging Busi (G) 23.60% 0.00% 0.00%
Reliance Equity Oppor - RP (G) 25.08% 0.00% 0.00%
ICICI Pru Exp&Other Services-RP (G) 25.89% 20.00% 15.60%
HDFC Balanced Fund (G) 21.69% 20.00% 15.60%
HDFC Prudence Fund (G) 20.33% 0.00% 0.00%
Birla Sun Life GSec - LTF (G) 9.14% 20.00% 15.60%
R* Shares Golld ETF 12.90% 20.00% 15.60%
Risk Free Asset 8.00% 22.00%
Total 100.00%