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Diminishing Returns with Leverage
Posted: Mon May 03, 2010 2:21 pm
by rgd
I have noticed that there are diminishing returns when increasing leverage. Conceptually, if you employ 100% of equity, and then 200%, it would stand to reason all performance metrics would double, but that is not the case. Before I go on a solitary, multi-day excursion searching for the relationships which cause this observation, I was hoping someone can get me started in the right direction, or even explain why this is the case!
Be kind, don't make me look too stupid!
Posted: Mon May 03, 2010 2:31 pm
by LeviF
If you are talking stocks, cost of margin would be one component.
Posted: Mon May 03, 2010 2:47 pm
by rgd
Does that explain the entire difference? Has anyone checked into this?
Anyway, in my example, I was using futures and simply multiplying my initial bet size * 2. The relationship is not linear, and the incremental return is less than 2x. I have earn interest turned off.
Posted: Mon May 03, 2010 2:52 pm
by LeviF
Are you getting the same number of trades on each run? Available margin and volume considerations may be coming into effect.
Posted: Mon May 03, 2010 4:06 pm
by rgd
I have disabled volume and margin.
The Kelly formula shows the optimal bet size for the system to be 26%, for each individual market that would be a certain death strategy. However, I do find optimal total portfolio risk to be in that general area.
I assume the reason is when you cross the optimal threshold, overcoming drawdowns becomes increasingly difficult. If anyone has more insights, I would love to hear them.
Posted: Mon May 03, 2010 5:39 pm
by sluggo
Maybe the system experiment supplied in
THIS thread, and the associated graph, might be what you're looking for.