House cleaning
the first thing i need to get out of the way is i nixed the '60s psychedelic theme in the beta 2.0 spreadsheet release. i thought the color coded column names matching the color of it's corresponding chart line would be a nice usability feature. the next day i opened the file and said NOT. so i came up with a more aesthetically pleasing and professional color theme matching the color of the new company logo i created. that too will probably get updated but it will probably stay roughly the same color. i hope you like it.
Overview of the market
ok, this week's stock market performance was interesting to say the least. as i have posted previously, we have been in a trading range from Apr-9 when the S&P 500 closed at 856.56 to friday's eod close at 866.23. the intraday high in-between this period was 875 on April-17 and the intraday low was 823 on this past tuesday Apr-21. this suggests to me that buyers got cautious after the index has run up so high and so fast from the 666 low on Mar-9. and the bears have gotten their shorts squeezed so they had to cover early on but weren't willing to begin selling later due to the high volume of buying. the index could have gone either way this week and euphoria won out over pessimism.
on last night's show, jim cramer said it's the mutual funds getting back into the game, not the hedge funds, causing the buying frenzy. this may or may not be true but even if it is, i have to ask "what's the thesis for all the giddiness into the 7th week of market recovery?" one possibility could be the market really thinks 6 - 9 months from now the economy will start showing signs it's working it's way out of the recession. another thesis could the market got so sold off that equity valuations were just too enticing to let go by, even up to friday's close. another thesis is regardless of the state of the economy, the fed and the treasury are on the mark with saving the over-leveraged banks and liquidity is unfreezing the credit iceberg.
there are other plausible theses, but i think it's sort of a combination of these 3 above. the markets did get too over-sold. a snap-back was over-due. earnings and guidance from some big banks, tech and industrial companies beat estimates and projected somewhat rosy guidance for the year. quantitative easing by the fed has given confidence and leadership around the globe. but all this good news may be a little over-rated after the 5th week of the run-up. are these signs of an emerging and imminent bull market? i don't know. i do know that regardless of the direction the stock market takes, we can still profit.
What the model is telling us
the model says, as i started off from above, we are in a sort of "no man's land" particularly for aggressive users of the
S&P 500 Index Arb Model. no man's land in this instance is a region where PID vacillates close to zero. this movement is accompanied by several crossings through zero which is our indicator to re-balance the ETF pair to neutral weights or for aggressive users to change their weightings bias from one extreme to another. non of this type of vacillating movement generates profits for aggressive users. for delta neutral users, the motion is a bit of a nuisance but no big deal one way or another. see the green line on the chart below.
the model generates profits when PID is on either side of the x-axis. the coefficients i have chosen for the model provides the above characterization. remember, the x-axis is like the fulcrum point of a see-saw. the longer PID stays above or below zero, the more time we have to accumulate gains. the same is true of the magnitude of PID. the greater the absolute value of PID, the rate of gains increases. so time and value are important to making gains using this model. if time is short and the magnitude of PID is small between transitions, the less potential to make gains. the behavior describes a see-saw or a swing that is oscillating ever so slighlty about equilibrium. not much potential for fun for anybody.
the mechanics of the model is based on classical mathematics used to derive equations of motion for a system of two point masses or two solid bodies in coupled oscillation with respect to one another. in this case i have used calculus of variations and my own variant of the hamiltonian equation to derive a long/short ETF dynamical relationship. finally, the key to completely describe the system is assuming a set of boundary conditions (such as sliding versus rolling motion for example) and a method of integration to solve the equation of motion. once an engineer has the equation of motion for a system, theoretically the engineer has enough information to control or stabilize the systems motion. thus, there is yet another level of control we can pursue which is a pre-set rate of return using our paired ETFs. this may come as a special update or in a new version release of the model.
bits and pieces of this discussion and other details will be background for a users guide i am writing for these ETF models. i understand the concepts behind the model may still be a black-box but stay tuned for future alerts and updates with more illustrations to fill in the blanks.
what action should be taken now?
aggressive users should maintain a significant over-weight to SSO and significant under-weight to SDS. i let you decide that percentage based on your tolerance for risk. be alert though because changes can quickly ocurr as we've seen recently.
users wanting to stay in the ETFs but remain neutral, make sure you re-weight your pair on monday using the neutral weights specified in the spreadsheet that were calculated for yesterday, friday APR-24.
comments and questions are encouraged.