Re: Date based calculations

• To: mathgroup at smc.vnet.net
• Subject: [mg119865] Re: Date based calculations
• From: Dana DeLouis <dana.del at gmail.com>
• Date: Sun, 26 Jun 2011 06:27:11 -0400 (EDT)

```Hi.  According to Excel, your covariance array is:

Example 2: Variance/Covariance Matrix between of stocks A,B,C between
9-May-11 and 19-May-11 (dates inclusive) is
0.0004767002   -0.0000660161    0.0000041896
-0.0000660161    0.0001054570    0.0001357245
0.0000041896    0.0001357245    0.001081745

Others have pointed out that Mathematica returns:

others =
(0.00055615	-0.0000770187	4.88759*10^-6
-0.0000770187	0.000123033	0.000158345
4.88759*10^-6	0.000158345	0.00126204
)

We can go from Mathematica's Sample size, to Excel's default
Population size by noting that we used 7 rows of data in the original calculation.
We cancel out the Sample (7-1), and divide by the population 7.

Hence...
others*6/7   //MatrixForm

(0.0004767	-0.000066016	4.18936*10^-6
-0.000066016	0.000105457	0.000135724
4.18936*10^-6	0.000135724	0.00108175
)

= = = = = = = = = =
HTH  : >)
Dana DeLouis
\$Version
8.0 for Mac OS X x86 (64-bit) (November 6, 2010)

On Jun 22, 3:43 am, Priyan Fernando <priyan.ferna... at gmail.com> wrote:
> I have the following time series data (19 rows by 4 columns):
>
> {{"03-May-11", -0.0400698, -0.00671613, -0.0333613}, {"04-May-11",
>  0, -0.00355872, -0.0169521}, {"05-May-11", 0.0453721,
>  0.0128572, -0.0248498}, {"06-May-11", 0.0052084, -0.00317346,
>  0.00290203}, {"09-May-11", -0.0155441, 0.0254686,
>  0.0597703}, {"10-May-11",
>  0.0315789, -0.0051742, -0.0179181}, {"11-May-11", -0.0323129,
>  0.00450769, -0.0346655}, {"12-May-11", 0,
>  0.0200207, -0.0200701}, {"13-May-11", -0.00702991, 0,
>  0.0400441}, {"16-May-11", 0, 0.00203048, -0.0121865}, {"19-May-11",
>  0.0318584, 0.00979397, 0.0229752}, {"20-May-11",
>  0.00343055, -0.00401342, 0.000611685}, {"23-May-11", -0.025641,
>  0.0020148, -0.0259388}, {"24-May-11", -0.00526314, 0.00435663,
>  0.00376576}, {"25-May-11", 0.0194003,
>  0.00133465, -0.0125949}, {"26-May-11", -0.0190311,
>  0.00533158, -0.00958927}, {"27-May-11", 0.0282187, -0.007955,
>  0.0026488}, {"30-May-11", -0.0291595,
>  0.00233883, -0.00291514}, {"31-May-11", 0.0212014, 0, -0.0383737}}
>
> The 1st Column is a date while Columns 2,3,4 represent the returns of stocks
> on the date. E.g. date1 and date2 are variables inputted by the user.
>
> Example 1: Average returns of stocks A,B,C between 9-May-11 and 19-May-11
> (dates inclusive) are:
> 0.001221494    0.008092462    0.005421325
>
> Example 2: Variance/Covariance Matrix between of stocks A,B,C between
> 9-May-11 and 19-May-11 (dates inclusive) is
> 0.0004767002    -0.0000660161    0.0000041896
> -0.0000660161    0.0001054570    0.0001357245
> 0.0000041896    0.0001357245    0.0010817457
>
> This is easy to do in Excel, but I'm finding it hard to locate the correct
> functions in Mathematica. Any suggestions are much appreciated.
>
> Thank you.

```

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