AAPL Accumulator, 10/29/05



Goal: Build a system that regularly accumulates shares of a stock, in this case AAPL*, within a given budget and based on the stock's historical price patterns. The goal of the program is to accumulate shares at a better price each month than simply buying by calendar date.

The first question, the baseline question, is: If I buy on the last day of the month, what will my accumulation look like? We'll compare all the other accumulations to this one.

Starting in 2003, buying 100 shares each month thru Sept of 2005, the value of the accumulation on 10/28/05:

Number
of Purchases
Portfolio Profit
(as of 10/28/05)
32 $103,946


The second question is: How many x% declines are there per year?

Decline Count
Per Year
6% 5
5% 7
4% 7.5
3% 9
2% 10
1% 11


The third question is: if I buy x% declines, can I beat simply buying at the end of each month?

Decline Number of Purchases Portfolio Profit
(as of 10/28/05)
Beats Last
Day of Month
6% 17 $56,832 No
5% 20 70,110 No
4% 22 79,186 No
3% 29 101,916 No
2% 30 105,872 Yes
1% 33 110,279 Yes


The first optimization is: what if I buy x% declines and if I there hasn't been an x% decline by the last day of the month, I buy on the last day of the month?

Decline Number of Purchases Portfolio Profit
(as of 10/28/05)
Beats Last
Day of Month
6% or LDOM 33 $105,406 Yes
5% or LDOM 33 105,327 Yes
4% or LDOM 33 105,114 Yes
3% or LDOM 34 109,486 Yes
2% or LDOM 34 110,615 Yes
1% or LDOM 34 111,881 Yes


The first conclusion is: This is how you invest in stocks - with a budget and regular allocations as opposed to one shot lump sum win or lose plays.


The second conclusion is: It is better to regularly catch a small decline than to irregularly catch a big decline.


The fourth question is: What if my budget is $2000/mo instead of 100 shares/mo and I buy on the last day of every month? (Note that the average purchase price in the above scenarios is about $20/share or $2000/mo)

Number
of Purchases
Portfolio Profit
(as of 10/28/05)
32 $179,000


And buying after an x% decline or on the last day of the month:

Decline Number of Purchases Portfolio Profit
(as of 10/28/05)
Beats Last
Day of Month
6% or LDOM 33 $185,503 Yes
5% or LDOM 33 185,903 Yes
4% or LDOM 33 185,117 Yes
3% or LDOM 34 191,018 Yes
2% or LDOM 34 192,323 Yes
1% or LDOM 34 192,828 Yes


The third conclusion is: It is better yet to regularly catch a small decline w/ a fixed dollar allocation than a fixed share allocation.

The fourth conclusion is: The actual AAPL Accumulator algorithm -

if (this is the start of a new month) then
    set buy flag = true

if (buy flag == true) and
   ((close today is less than 1%
      below the close five days ago) or
   (this is the last trading day of the month)) then
        buy (monthly allocation budget)/(share price) shares
          of AAPL on the close
    set buy flag = false
----

*What got me thinking about AAPL was thinking about the strategic implications of AAPL's move to Intel processors:

If the biggest barriers to buying a Mac - real or imagined - are "there's no software for the Mac" or "I'm dependent on program x and program x isn't available for the mac", doesn't the move remove those barriers?

And if it does, in a PC world very tired of spyware, viruses, msft taxes and general inelegance isn't there the some potential for a _huge_ coup: the world might just switch.

Or, if not the world, then 1/2 or 1/4 or 1/8 of the world. Which, at a minimum, gives Apple a 20% market share, 3x its current run rate.

And, strategically, that would be worth a try, especially if the try could be made w/o too much risk and especially to a company that has gotten a taste of being a pseudo-monopoly.


From strategic and risk/reward standpoints, the move seems quite brilliant.



Henry Carstens
Vertical Solutions
carstens@verticalsolutions.com