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Strategies & Market Trends : MARKET INDEX TECHNICAL ANALYSIS - MITA -- Ignore unavailable to you. Want to Upgrade?


To: Alex MG who wrote (16069)2/5/2003 10:46:28 AM
From: macavity  Read Replies (1) | Respond to of 19219
 
Probability.

I always laugh at this 3 yr 4 yr thing.

The probability that people should be looking at is not
The probability of 4 down years - p(4Down)
But should be
The probability of 4 down years, given that we have already had three of them - p(4Down|3Down)

Now technically there is actually not enough information for this to be calculated, but the number of 4 year down periods in the last 100 or 200 years is not the answer.

If we consider the 2 following
N(3 down years) - Number of only 3 down periods in sample
N(3+ down years) - Number of more than 3 down periods in sample

probability ~ N(3+ down years)/{N(3 down years)+ N(3+ down years)}
=>

both probabilities are actually small.

The (Baynesian) conditional probability is actually a lot larger than people intuitively think.

-macavity



To: Alex MG who wrote (16069)2/5/2003 12:21:22 PM
From: Terry Whitman  Read Replies (1) | Respond to of 19219
 
That could be determined, statistically. I'd say the odds are similar. Probably about 10-1.

>we weren't supposed to have three down years in a row in the markets, surely we can't have a fourth???... <

The odds of 3 down years in a row are much better than 4 in a row, no doubt. Probably between 3-1 & 4-1. So the bears beat the odds on that one. And, sure they COULD beat the odds again. I'm just saying that probability is actually quite LOW. Not HIGH, as you are suggesting.

I don't think we have a large enough sample of 11+ rate cuts to figure any probabilities on that- I think it has only happened once or twice.