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Efficient Frontier construction
Step:1
 Select7 companies’name.
 Selectclosingprice of those selectingcompaniesfor5years.
Step:2
 Return:Today price-yesterdayprice /yesterdayprice.
 Average:=AVERAGE(selectall returnvalue of acolumn).
 STD: =STDEVA (selectall Returnvalue of acolumn).
Step:3
Table 1: Monthly Average Return and Standard Deviation
 Copyand paste companiesname onothercolumnandrow.
 AlsocopyAverage ReturnandSTD and paste withTranspose.
Step:4
Table: 2 Correlation Matrix
 Againcopy& paste companiesname.
 Go to Data Analysisof excelandselectcorrelation.
 At Correlation:Inputrange- selectall companiesReturnvalue
 Output range-select a blank sheet……Press “ok”.
 Furnished all value at column and row and copy & paste with Transpose at Table: 2 correlation
matrix.
Step: 5
Table: 3 Covariance Matrix
 Copy & paste companies name
 Go to Data Analysis of excel and select covariance
 At covariance: Input range- select all companies Return value
 Output range-select a blank sheet……Press “ok”.
 Furnished all value at column and row and copy & paste with Transpose at Table: 2 correlation
matrix.
Step: 6
Table 4: Monthly Standard Deviation and Average Return with Equal Weight
 Copy & paste companies name.
 Copy Standard Deviation and Average Return and paste with Transpose.
 Weight: =1/7
 Then write sum 1
 E (Rp): {=MMULT (TRANSPOSE (select all Weight value), Select Average Return value).
 SD: {=SQRT (MMULT (MMULT (TRANSPOSE (select all Weight value), select all Return value),
select all Weight value)}.
 SR: E (Rp)/SD
Step: 7
Table 5: Monthly Standard Deviation and Average Return with Varying Weight
 Doing same methods as like Table 4.
Step: 8
Risk & Return
Calculate Minimum Risk and Return value
 Go to Data Analysis of excel and open Solver.
 At Solver- set Target sell: SD (from Table 5)
o Select option Min
o Guess: all Weight Value (from Table 5)
o Cell Reference: 1 (sum value from Table 5) = constraint: 1
 Press “Solve” and get the minimum Risk and Return value.
 Copy & paste the value of Return column of Return & Risk table.
Calculate Maximum Risk and Return
 Go to Data Analysis of excel and open Solver.
 At Solver- set Target sell: SR (from Table 5)
o Select option Max
o Guess: all Weight Value (from Table 5)
o Cell Reference: 1 (sum value from Table 5) = constraint: 1
 Press “Solve” and get the minimum Risk and Return value.
 Copy & paste the value of Return column of Return & Risk table.
 Assuming and putting some Return value on Return column before and after the Minimum &
Maximum Return.
Calculate Risk value of those assuming Return value
 Again open Solver- - set Target sell: SR (from Table 5)
o Select option Max
o Guess: all Weight Value (from Table 5)
o Cell Reference: 1st
Return value = constraint: E (Rp).
 Press “Solve” and get the risk value against the return value.
 To be continuing the Solver formula ( only change the Return Value at cell Reference) to get all
Risk value against the Assuming Return value
Step: 9
 Select a graph and put the all Risk and Return value on the graph.

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Efficient frontier construction

  • 1. Efficient Frontier construction Step:1  Select7 companies’name.  Selectclosingprice of those selectingcompaniesfor5years. Step:2  Return:Today price-yesterdayprice /yesterdayprice.  Average:=AVERAGE(selectall returnvalue of acolumn).  STD: =STDEVA (selectall Returnvalue of acolumn). Step:3 Table 1: Monthly Average Return and Standard Deviation  Copyand paste companiesname onothercolumnandrow.  AlsocopyAverage ReturnandSTD and paste withTranspose. Step:4 Table: 2 Correlation Matrix  Againcopy& paste companiesname.  Go to Data Analysisof excelandselectcorrelation.  At Correlation:Inputrange- selectall companiesReturnvalue  Output range-select a blank sheet……Press “ok”.  Furnished all value at column and row and copy & paste with Transpose at Table: 2 correlation matrix. Step: 5 Table: 3 Covariance Matrix  Copy & paste companies name  Go to Data Analysis of excel and select covariance  At covariance: Input range- select all companies Return value  Output range-select a blank sheet……Press “ok”.  Furnished all value at column and row and copy & paste with Transpose at Table: 2 correlation matrix. Step: 6 Table 4: Monthly Standard Deviation and Average Return with Equal Weight  Copy & paste companies name.
  • 2.  Copy Standard Deviation and Average Return and paste with Transpose.  Weight: =1/7  Then write sum 1  E (Rp): {=MMULT (TRANSPOSE (select all Weight value), Select Average Return value).  SD: {=SQRT (MMULT (MMULT (TRANSPOSE (select all Weight value), select all Return value), select all Weight value)}.  SR: E (Rp)/SD Step: 7 Table 5: Monthly Standard Deviation and Average Return with Varying Weight  Doing same methods as like Table 4. Step: 8 Risk & Return Calculate Minimum Risk and Return value  Go to Data Analysis of excel and open Solver.  At Solver- set Target sell: SD (from Table 5) o Select option Min o Guess: all Weight Value (from Table 5) o Cell Reference: 1 (sum value from Table 5) = constraint: 1  Press “Solve” and get the minimum Risk and Return value.  Copy & paste the value of Return column of Return & Risk table. Calculate Maximum Risk and Return  Go to Data Analysis of excel and open Solver.  At Solver- set Target sell: SR (from Table 5) o Select option Max o Guess: all Weight Value (from Table 5) o Cell Reference: 1 (sum value from Table 5) = constraint: 1  Press “Solve” and get the minimum Risk and Return value.  Copy & paste the value of Return column of Return & Risk table.  Assuming and putting some Return value on Return column before and after the Minimum & Maximum Return. Calculate Risk value of those assuming Return value  Again open Solver- - set Target sell: SR (from Table 5) o Select option Max o Guess: all Weight Value (from Table 5) o Cell Reference: 1st Return value = constraint: E (Rp).  Press “Solve” and get the risk value against the return value.
  • 3.  To be continuing the Solver formula ( only change the Return Value at cell Reference) to get all Risk value against the Assuming Return value Step: 9  Select a graph and put the all Risk and Return value on the graph.