SPY etf last close price $311.81
ATR is 'average true range' indicator to calculate SPY volatility (I like this better than standard deviation). Currently is at 6.81
2 times ATR is 6.81 x 2 = 13.62 so my stoploss will be at $311.81 - 13.62 = $298,19
My trading capital is $10000 and I am willing to risk 1% of it ($100)
$100 : 13.62 = 7,34 number of SPY shares to buy. I round that number to 7.
I buy 7 x $311.81 = $2182,67 worth of SPY shares. I call this the 'equity being traded' which is 21,82% of my capital.
Is that 21,82% basically the 'annualized volatility target'?
If my stoploss gets hit I sell my position at 7 x $298,19 = $2087,33 and I realize a $100 loss (1% of my capital).
Those are TurtleTraders rules.
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Now, suppose I risk 1% for each other asset classes such as Gold, Corn and Interest Rates.
Overall I risk 4% (4 different asset classes; 1% unit of risk each) and my 'equity being traded' will be around 80% of my trading capital (~20% for each asset class). Is that 80% the 'annualized volatility target' or is still ~20% since those asset classes have low correlation?
Thanks
Thanks, that's pretty detailed.
An ATR of 6.82 roughly corresponds to a annual standard deviation of ASD=95.5 (using my own estimate that the ratio of SD and ATR is ~14, but this is an average). As a % that's 30.7%. That's a fair bit higher than I get as a measure of standard deviation, but let's just use your number for consistency.
If you own 7.3 SPY shares worth $311 each that's 7.3*311*30/7% = ~$700 of standard deviation on your position. Your trading capital is $10,000 so you're taking a risk of $700/$10K = 7% on that position as a proportion of your capital.
As a general formula your risk will be ASD%*# shares*share price / account value, and as your # shares = 1% * account value / SLM*ATR and ASD% = ATR*14 / share price that works out to (ATR*14/share price)*(1% * account value / SLM* ATR) * share price / account value
= 14 * 1% / SLM = 7% (for an SLM of 2)
If you have 4 positions on, then assuming they are perfectly correlated, your risk would be 4*7% = 28%. In fact (a) if they are from different asset classes there is likely to be a fair bit of diversification, and (b) this only applies if you always have a position on in every asset class. So more realistically your annual expected risk on your account as a whole is probably around 20%. That's a little higher than the 15% I'd advocate for an expected SR of 0.30.
A stop of 2*ATR translates to roughly 0.14 of ASD, which is an average holding period of about 10 days. For SPY ETF that comes out at around 0.06SR units. That's just about on the edge of what is sensible - I wouldn't trade any faster. And SPY is quite a cheap ETF. You may want to consider a wider stoploss
Now the problem is if you do that, you're risk will increase. Which is why I don't like the idea of using your stop loss to calculate your position size. Stop losses should be set purely to determine holding period, indepedent of risk target.
Instead if I rearrange the calculation above, I get:
Expected risk = # of shares * ATR * 14 / portfolio size = ~7%
If I rearrange and substitute target for expected risk:
# of shares = target risk * portfolio size / (ATR * 14)
There is more on this, if you're interested, in my latest book
Leveraged Trading. Of course I'm happy to continue answering your questions if you don't want to buy yet another book
GAT