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Portfolio Optimization with Google Spreadsheet and Maple

I will in this post show how to manage data and do portfolio optimization in Maple by using google spreadsheet.

You can either use a direct link to the data:

or you can set up your own google spreadsheet. If you choice to set up your own spreedsheet follow the below road map:

1) select which market you want to follow:




2) Create a new google spreadsheet and name two sheets Blad1 and Panel. In the first cell of Blad1 you put the formula:


you need to change the url to match your selection in 1).

3) In the first cell of Panel you put the name "Ticker" and then you copy all the ticker names from Blad1.

4) In the script editor you put in the below java script code:

function PanelCreation_Stock() 

var ss = SpreadsheetApp.getActiveSpreadsheet();
var sourceSheet = ss.getSheetByName("Blad1");
var dstSheet = ss.getSheetByName("Panel");
var curDat = new Date();
var day1 = curDat.getDay();
if(day1 == 0 || day1 == 1)
var lCol = dstSheet.getLastColumn();
var srcdate = dstSheet.getRange(1, 1, 1, lCol).getValues();

for(var k=1;k<=srcdate[0].length-1;k++)
if(Utilities.formatDate(srcdate[0][k],"GMT", "dd-MMM-yy") == Utilities.formatDate(curDat,"GMT", "dd-MMM-yy"))
var snRows = sourceSheet.getLastRow();
var dnRows = dstSheet.getLastRow();

var srcStock = sourceSheet.getRange("A2:A" + snRows).getValues();
var srcLastSale = sourceSheet.getRange("C2:C" + snRows).getValues();

var dstStock = dstSheet.getRange("A2:A" + dnRows).getValues();
var dstLastSale = dstSheet.getRange("Z2:Z" + dnRows).getValues();

for(var j=0;j<dnRows-1;j++)
var flag = "true";
var foundStock;
for(var i=0;i<snRows-1;i++) //snRows
var sStockVal = srcStock[i][0];

//var foundStock = ArrayLib.indexOf(dstStock,0, sStockVal);

for(var j=0;j<dnRows-1;j++)
if(dstStock[j][0].toString().toUpperCase() == srcStock[i][0].toString().toUpperCase())
flag = "true";
foundStock = j;
dstLastSale[foundStock][0] = srcLastSale[i][0];
var dnRows1 = dstSheet.getLastRow()+1;
dstSheet.getRange("A" + dnRows1).setValue(srcStock[i][0]);
for(var k=2;k<=lCol;k++)
if(dstSheet.getRange(dnRows1, k).getValue()=="")
dstSheet.getRange(dnRows1, k).setValue("n/a");
dstSheet.getRange(2, lCol+1, dstLastSale.length, 1).setValues(dstLastSale);

5) Set it to run each day at 12:00. The code will save the new last sale price for monday to friday with one days lag.

Now we can move on to Maple.

In Maple run the following code to load the data:


X := proc (Url) local theDLL, URLDownloadToFile, myDirectory, myFile, Destination, DL;


theDLL := "C:\\WINDOWS\\SYSTEM32\\urlmon.dll";


URLDownloadToFile := define_external('URLDownloadToFileA', pCaller::(integer[4]), szURL::string, szFileName::string, dwReserved::(integer[4]), lpfnCB::(integer[4]), 'RETURN'::(integer[4]), LIB = theDLL);


if FileTools[Exists]("C:\\mydir") = true then FileTools:-RemoveDirectory("C:\\mydir", recurse = true, forceremove = true) else end if;


myDirectory := "C:\\mydir";
myFile := "data1.csv";
Destination := cat(myDirectory, "\\", myFile);


DL := proc () local M;


URLDownloadToFile(0, Url, Destination, 0, 0);
M := ImportMatrix("C:\\mydir\\data1.csv", delimiter = ",", datatype = string);
M := Matrix(M, datatype = anything)


end proc;


return DL()


end proc:


data := X("");
L := LinearAlgebra:-Transpose(data);

If you use your own spreadsheet you need to change the url to match that spreadsheet.
Select File -> Publish to the web in google spreadsheet

We can now run the portfolio optimization in Maple:



Nr, Nc := ArrayTools:-Size(L):
symb := L[1 .. 1, 2 .. Nc]:
LL := L[2 .. Nr, 2 .. Nc]:
Nr, Nc := ArrayTools:-Size(LL):


# Removing stocks with missing observations
for i to Nc do if Occurrences("n/a", convert(Column(LL, i), list)) >= 1 then AA[i] := i else AA[i] := 0 end if
end do;


DD := RemoveInRange([seq(AA[i], i = 1 .. Nc)], 0 .. 1):
symbb := DeleteColumn(symb, DD):
LLL := map(parse, DeleteColumn(LL, DD)):
Nr, Nc := ArrayTools:-Size(LLL):


# Calculate Return
for j to Nc do
for i from 2 to Nr do


r[i, j] := (LLL[i, j]-LLL[i-1, j])/LLL[i-1, j]


end do
end do;


RR := Matrix([seq([seq(r[i, j], j = 1 .. Nc)], i = 2 .. Nr)], datatype = float[8]);
n, nstock := ArrayTools:-Size(RR):


# Portfolio Optimization
W := Vector(nstock, symbol = w):
y := Vector(n, fill = 2, datatype = float[8]):
s1 := Optimization[LSSolve]([y, RR])[2];
Nr, Nc := ArrayTools:-Size(s1):


j := 0:
for i to Nr do if s1[i] <> 0 then j := j+1; ss1[j] := symbb[1, i] = s1[i] end if end do;


Vector(j, proc (i) options operator, arrow; ss1[i] end proc);




Google translate is HTTPS.  Https protocol is not supported in the HTTP package.  I can't seem to get it to work using the Sockets package.

Any ideas?

This should be a blog post but there is no option for ordinary mapleprimers. 

If you have a gmail account you can access the data on google insights (what people search for on google and where in the world is that keyword searched the most).  Actually you don't need gmail but you don't get access to the full data and your limited to a few searches.  Using Maples internet connectivity commands I'm sure could prove to create some interesting apps.

This guy Giorges is using Python and wget inorder to do parrallel downloading
and he is arguing that it is very fast.

Now my questions become

1) Does there exist a simple way that I can use wget without installing it ?
I dont want to bother users of my Maple application with installing a 3:rd party software.
A simple file in a specific location would be ok though

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