# Tagged Questions

The kelly-criterion is a risk management strategy (or wagering system) providing an optimal risk apportionment system that relies on having 2 calculated probabilities.

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### Volatility pumping in practice

The fascinating thing about volatility pumping (or optimal growth portfolio, see e.g. here) is that here volatility is not the same as risk, rather it represents opportunity. Additionally it is a ...
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### How to optimally allocate capital among trading strategies?

I'm trying to find an optimal way to allocate capital among trading strategies. "Quantitative Trading" by Ernie Chan claims on page 97 that the optimal fraction of capital to allocate to a given ...
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### Kelly criterion and Sharpe ratio

Whats the relationship between the Kelly criterion and the Sharpe ratio? $$f=\frac{p(b+1)-1}{b}$$ where $f$ is a percentage of how much capital to place on a bet, $p$ is the probability of success,...
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### How to apply the Kelly criterion when expected return may be negative?

My concern is how to handle a negative value for the Kelly formula. Even when you have a system that has positive expectancy, you can (and usually will) sustain a number of losses, sometimes ...
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### Optimality of Kelly criterion in non-normal environment

It is a not so well known fact that the Kelly criterion is only optimal in a nice and well-behaved Merton-world. It is far from optimal when things are getting non-(log)normal (i.e. more realistic!). ...
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### Kelly Capital Growth Investment Strategy (Example in R)

In the paper Response to Paul A Samuelson letters and papers onthe Kelly Capital Growth Investment Strategy pages 5 and 6 Dr William T Ziemba, gives a praticle example on Kelly Growth. I’m trying to ...
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### Why maximize expected growth rate?

It seems to me that the optimality of the Kelly Criterion relies on the assumption that it is in an investor's best interest to maximize his portfolio's expected growth rate. Why would he care what ...
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### Capital Allocation for Portfolio of Multi-Strategy and Multi-Instrument

I would like to know if there is a way (or theory) to manage a multi-strategy, multi-instruments portfolio that would calculate the optimal weight to allocate capital for each combination of strategy ...
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### Full Kelly portfolios having same weights as tangency portfolios

I'm currently comparing empirically the differences between Markowitz and Kelly portfolios. I calculated the Kelly weights for monthly return observations over 10 years for a sample of 50 stocks from ...
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### Combining modern portfolio theory and Kelly betting?

I'm using modern portfolio theory to compute the frontier of efficient portfolios. I'd like to pick the best one in the spirit of Kelly betting, ie. maximising expected growth. I'm looking for a ...
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### the incremental value of Kelly Criterion under difference circumstances

I know that the Kelly Criterion maximizes bankroll, but i was wondering how much value it contributes to the total return and under what circumstances. I'm trying to understand the difference between ...
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### How to apply Kelly criterion to a portfolio made by a stock plus a option?

First of all, assuming a Gaussian, Markowitz, well behaved world. Extensions for non-well behaved world will be welcomed. I know that by a portfolio made by only by one stock (and a risk free bond) I ...
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### Absolute Dollar Form Of Kelly Criterion

Is there a absolute dollar form of the Kelly equation $f=\frac{m}{s^2}$? (i.e. one that does not use percent returns).
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### Implementation of Kelly in multivariate case using modeled distributions

I am exploring how to determine an "optimal" portfolio in the context of real life data and systems. Specifically, I want to calculate a Kelly Optimal Portfolio (see this paper, especially section 8.4 ...