Stocks & Commodities V. 31:1 (20-30): The British Pound Cubed, Redux by Dennis Meyers
Product Description
Using Least-Squares
The British Pound Cubed, Redux by Dennis Meyers
Trading systems involve several components to
make sure they perform as well as you would
like them to. Here’s how you can apply these
components using the least-squares cubic system.
Years ago, in a Stocks & Commodities article
titled “The British Pound, Cubed,” I examined
trading the British pound (BP) using a least-squares
cubic polynomial to serve as a better proxy for the
BP market trend. The cubic polynomial should
respond faster to changes in the underlying trend
and model the trend changes more accurately than
the straight-line version. In that article, I used walkforward
optimization with an in-sample period of
five years of daily prices and an out-of-sample (OOS)
period of one year. I examined these in-sample and
OOS periods:
In-Sample Period Out-Of-Sample Period
1/1/89 to 12/31/93 1/1/94 to 12/31/94
1/1/90 to 12/31/94 1/1/95 to 12/31/95
1/1/91 to 12/31/95 1/1/96 to 12/31/96
1/1/92 to 12/31/96 1/1/97 to 12/31/97
1/1/93 to 12/31/97 1/1/98 to 12/31/98
Computers were not as fast or powerful as they are
today. In addition, the walk-forward software then was nowhere as sophisticated as it is now. Given today’s
technology, I can bring the British pound cubed
strategy up to date and use shorter in-sample and
OOS periods so changing relationships in economic
data and trading patterns in the currency world can
be quickly mirrored in the in-sample data.
I will examine an in-sample period of one year of
BP daily prices followed by an OOS period of three
months of daily BP prices. Each walk-forward period
will advance three months and I will examine 82 walkforward
in-sample and OOS periods from January
1, 1991, to June 30, 2012. In Figure 1, you see the
82 in-sample and OOS windows, the cubic strategy
inputs, and the quarterly OOS profit/loss results using
the performance metric filter I will describe.
The British pound (BP) is a major currency traded
24 hours per day, and most of the world’s largest banks
make a two-sided market in the BP and its associated
derivatives. Small traders, however, are constrained
to trade the BP futures on the Chicago Mercantile
Exchange (CME). While the CME BP futures trading
volume is small compared to total worldwide bank
and institutional trading volume, arbitrage keeps the
future prices in line with the bigger markets.
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