Re: Probability of exceeding a specific value



On Sep 18, 10:43 am, grosu <gr...@xxxxxxxxxxxxx> wrote:
As Randy suggested, the price changes at regular intervals. Lets say every T sec/min/hr/days...
The price is likely to go up as it is to go down.

I think I misinterpreted. Is the price normally distributed,
or is the step size normally distributed?

If it's the latter, then Jim Burns has the right approach.
The price after N steps is the sum of N normal random
variables (plus $10). But then your initial question
"what is the probability of price exceeding $13"
doesn't make sense. That probability grows with
time.

The sum of N normal random variables of mean 0 and variance
sigma^2 is a normal rv with mean 0 and variance N*sigma^2.

My simple Bernoulli model won't work for answering the
"how long do you have to wait" question either.

- Randy

.



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