7. (a) To find the Trading Time increments, first solve this equation for D. |
.5D + .5D + .5D + .5D = 1 |
The solution is D = 2. |
Then the Trading Time increments are |
dT1 = .52 = .25,   dT2 = .52 = .25,   dT3 = .52 = .25,   dT4 = .52 = .25,   |
(b) Here are the generators, Price-Clock Time in blue, Price-Trading Time in red. |
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(c) The graph shows only one generator, in purple to indicate the superposition of red and blue. The reason the Price-Trading Time and Price-Clock TIme graphs coincide is that the original generator is unifractal. Converting to Trading Time changes a multifractal generator to a unifractal generator, so here we see that if the generator already is unifractal, the conversion to Trading Time leaves the generator unchanged. |
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