Daytrader quiz

With options trading (especially with options spreads) one can in advance limit the VaR exactly (or approximately) as one wishes, ie. limiting the possible loss.
Let's say you are a daytrader, and each month has 21 trading days. If you make every 2nd trading day on average 1.50% profit from your current account value, but then lose on average 1.00% the following trading day, then how much will your PnL% be in a year?
Let's say the very first day is a win day.
 
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Theoretically
3.38463378643

Here's a Monte Carlo Simulation
upload_2023-4-16_18-20-44.png
 
That's wrong.
One can compute it exactly, for example by simply iterating over all the 12 months,
or as @easymon1 said, by using a formula (in this case one can say a period is 2 days, and do accordingly...)

Not sure if you win 1/2 (S1) or 2/3 (S2) of the time.
"If you make every 2nd trading day"

Monte Carlo is based on S1

upload_2023-4-16_20-50-50.png
 
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