1 00:00:04,400 --> 00:00:02,060 simple cash for a ticket generated by 2 00:00:08,179 --> 00:00:04,410 assuming some error level like assume 3 00:00:11,089 --> 00:00:08,189 three you you have your list of 130 4 00:00:15,230 --> 00:00:11,099 tickets and you send some poor victim 5 00:00:17,060 --> 00:00:15,240 out to the nearest drugstore with a long 6 00:00:19,279 --> 00:00:17,070 sheet of paper and okay I want to buy 7 00:00:22,070 --> 00:00:19,289 one of these and one of this number and 8 00:00:24,470 --> 00:00:22,080 one of this number but it's conceptually 9 00:00:26,570 --> 00:00:24,480 at least it's a simple procedure and it 10 00:00:29,480 --> 00:00:26,580 shouldn't take that many minutes at the 11 00:00:32,170 --> 00:00:29,490 counter what are the chances of winning 12 00:00:35,389 --> 00:00:32,180 it is there at potential for profit 13 00:00:39,049 --> 00:00:35,399 well cash for pays off at five thousand 14 00:00:41,030 --> 00:00:39,059 to one so if you expect to win you can 15 00:00:44,690 --> 00:00:41,040 afford to invest in a considerable 16 00:00:46,610 --> 00:00:44,700 number of tickets upfront and I realize 17 00:00:50,330 --> 00:00:46,620 I put part of the explanation after this 18 00:00:54,049 --> 00:00:50,340 table which was not right the expected 19 00:00:57,020 --> 00:00:54,059 profit for any given project design is 20 00:00:57,590 --> 00:00:57,030 the chance of winning times the $5,000 21 00:01:00,290 --> 00:00:57,600 reward 22 00:01:01,670 --> 00:01:00,300 minus the upfront investment because you 23 00:01:04,700 --> 00:01:01,680 have to buy the tickets whether or not 24 00:01:07,039 --> 00:01:04,710 you win and if you look at the expected 25 00:01:10,850 --> 00:01:07,049 profit it turns out that your optimal 26 00:01:14,870 --> 00:01:10,860 strategy is the same whether you assume 27 00:01:17,899 --> 00:01:14,880 the the 60% pessimistic accuracy that I 28 00:01:20,270 --> 00:01:17,909 started off with or use the actual 29 00:01:22,100 --> 00:01:20,280 accuracy that came out in the experiment 30 00:01:22,550 --> 00:01:22,110 which of course we wouldn't know in 31 00:01:27,969 --> 00:01:22,560 advance 32 00:01:29,929 --> 00:01:27,979 in any case either way this Green row 33 00:01:33,230 --> 00:01:29,939 assuming there could be up to four 34 00:01:35,330 --> 00:01:33,240 errors gives you the largest expected 35 00:01:40,010 --> 00:01:35,340 payoff under either assumption about the 36 00:01:43,399 --> 00:01:40,020 accuracy with the pessimistic a priori 37 00:01:44,600 --> 00:01:43,409 assumption you'd have a 50% chance 57 38 00:01:48,440 --> 00:01:44,610 percent chance of winning the lottery 39 00:01:49,940 --> 00:01:48,450 and this expected profit discounted for 40 00:01:54,530 --> 00:01:49,950 the chance of losing is still over 41 00:01:56,959 --> 00:01:54,540 $2,000 with the theoretic with the 42 00:02:03,560 --> 00:01:56,969 observed accuracy your theoretical 43 00:02:06,749 --> 00:02:03,570 chance of winning was about 83% in okay 44 00:02:11,620 --> 00:02:09,249 the best flight strategy for this 45 00:02:13,390 --> 00:02:11,630 experiment would have been to spend 626 46 00:02:17,880 --> 00:02:13,400 dollars buying one ticket for each 47 00:02:22,210 --> 00:02:20,199 with the pessimistic assumption about 48 00:02:24,330 --> 00:02:22,220 the per trial accuracy this still 49 00:02:28,120 --> 00:02:24,340 creates a bet definitely in your favor 50 00:02:31,330 --> 00:02:28,130 in reality in fact there only turned out 51 00:02:34,740 --> 00:02:31,340 to be three errors this policy this this 52 00:02:37,089 --> 00:02:34,750 procedure would have won and netted a 53 00:02:40,780 --> 00:02:37,099 four thousand three hundred seventy four 54 00:02:43,030 --> 00:02:40,790 dollars per investment unit and when I 55 00:02:45,220 --> 00:02:43,040 say per investment unit there is is no 56 00:02:47,440 --> 00:02:45,230 law saying that you can only buy one 57 00:02:49,570 --> 00:02:47,450 ticket for any given number you may have 58 00:02:51,460 --> 00:02:49,580 to visit multiple stores if you're 59 00:02:53,229 --> 00:02:51,470 walking in with your list of 600 numbers 60 00:02:54,520 --> 00:02:53,239 on a page they'll probably get tired of 61 00:02:56,470 --> 00:02:54,530 your face after a while 62 00:02:57,970 --> 00:02:56,480 but if you're confident enough in the 63 00:03:05,920 --> 00:02:57,980 procedure you can do the investment 64 00:03:11,650 --> 00:03:05,930 multiple times and that concludes the 65 00:03:14,800 --> 00:03:11,660 discussion of how you can get a 66 00:03:16,569 --> 00:03:14,810 practical ARV application even if you 67 00:03:19,630 --> 00:03:16,579 don't expect all of your data to be 68 00:03:23,229 --> 00:03:19,640 perfect on a complex target such as this 69 00:03:25,720 --> 00:03:23,239 long string of lottery numbers shifting 70 00:03:29,110 --> 00:03:25,730 gears slightly people have been trying 71 00:03:32,319 --> 00:03:29,120 to apply ARV to various sorts of markets 72 00:03:38,289 --> 00:03:32,329 ever since Russell Targ in 1980 or maybe 73 00:03:40,569 --> 00:03:38,299 it was the late 70s now again we 74 00:03:42,879 --> 00:03:40,579 frequent frequently these things show a 75 00:03:46,180 --> 00:03:42,889 decline effect and end up in in less 76 00:03:48,039 --> 00:03:46,190 than 50% accuracy and there is basically 77 00:03:53,530 --> 00:03:48,049 nothing you can do about that in terms 78 00:03:55,780 --> 00:03:53,540 of trying to adapt to it you either need 79 00:03:59,379 --> 00:03:55,790 to work out some way of avoiding a 80 00:04:02,860 --> 00:03:59,389 decline or some other scheme to maintain 81 00:04:05,199 --> 00:04:02,870 some level of predictive accuracy what I 82 00:04:07,660 --> 00:04:05,209 want to address here is how well can you 83 00:04:10,360 --> 00:04:07,670 do with the kind of very small 84 00:04:13,440 --> 00:04:10,370 predictive accuracy that is better than 85 00:04:19,620 --> 00:04:13,450 chance but still has a high error rate 86 00:04:23,460 --> 00:04:19,630 and I keep anticipating my bullet 87 00:04:25,950 --> 00:04:23,470 so this is it this chart is taken from 88 00:04:27,930 --> 00:04:25,960 actual data on intraday price 89 00:04:29,760 --> 00:04:27,940 fluctuations for two different time 90 00:04:33,900 --> 00:04:29,770 slots in two different Asian futures 91 00:04:37,470 --> 00:04:33,910 markets and the reason I'm using Asian 92 00:04:43,670 --> 00:04:37,480 markets is that for complicated reasons 93 00:04:51,620 --> 00:04:47,610 the trading was simulated by noting the 94 00:04:54,900 --> 00:04:51,630 price fluctuations accounting for 95 00:04:58,050 --> 00:04:54,910 transaction fees and what I'm calling 96 00:05:00,270 --> 00:04:58,060 here as biases in contract fulfilment if 97 00:05:04,430 --> 00:05:00,280 you've ever actually worked with an 98 00:05:07,890 --> 00:05:04,440 electronic trading site you will 99 00:05:10,350 --> 00:05:07,900 discover that if you buy something 100 00:05:12,870 --> 00:05:10,360 you're likely to end up paying more than 101 00:05:14,820 --> 00:05:12,880 the theoretical market price at the time 102 00:05:16,530 --> 00:05:14,830 and if you sell something you're liable 103 00:05:18,330 --> 00:05:16,540 to pull in a little bit less than what's 104 00:05:19,770 --> 00:05:18,340 officially supposed to be the market 105 00:05:25,490 --> 00:05:19,780 price at the moment you submitted the 106 00:05:29,820 --> 00:05:25,500 order so applying that applying 107 00:05:34,770 --> 00:05:29,830 transaction fees you end up with these 108 00:05:36,600 --> 00:05:34,780 curves and in the Japanese markets at 109 00:05:39,540 --> 00:05:36,610 fifty five percent accuracy you're 110 00:05:41,550 --> 00:05:39,550 losing money but you're earning an 111 00:05:45,600 --> 00:05:41,560 expected average profit in the 112 00:05:48,420 --> 00:05:45,610 simulation at if you're up to sixty 113 00:05:51,000 --> 00:05:48,430 percent accuracy so there's a break-even 114 00:05:53,520 --> 00:05:51,010 point somewhere between 55 and 60 with 115 00:05:58,230 --> 00:05:53,530 the slightly different structure in the 116 00:06:02,060 --> 00:05:58,240 Hong Kong markets all of those accuracy 117 00:06:04,560 --> 00:06:02,070 levels generate at least a small profit 118 00:06:07,500 --> 00:06:04,570 this graph however shows something 119 00:06:10,350 --> 00:06:07,510 slightly different it shows your 120 00:06:14,730 --> 00:06:10,360 probability of showing any profit at all 121 00:06:17,820 --> 00:06:14,740 after one month of of trading you will 122 00:06:20,790 --> 00:06:17,830 notice the 50% of is here and most of 123 00:06:23,310 --> 00:06:20,800 the curves are well below even these two 124 00:06:26,700 --> 00:06:23,320 curves in terms of expected 125 00:06:29,490 --> 00:06:26,710 profitability showed a positive result 126 00:06:34,620 --> 00:06:29,500 but here they're showing less than a 50% 127 00:06:38,940 --> 00:06:34,630 chance of showing any profit now how how 128 00:06:45,230 --> 00:06:38,950 is that possible what that means is that 129 00:06:49,200 --> 00:06:45,240 in a low accuracy ARV application most 130 00:06:52,470 --> 00:06:49,210 timeslots months are convenient will 131 00:06:55,830 --> 00:06:52,480 show a modest net loss you will make up 132 00:06:59,250 --> 00:06:55,840 a consistent long-term average profit 133 00:07:05,820 --> 00:06:59,260 from a minority of slots in which you 134 00:07:07,800 --> 00:07:05,830 earn a lot of money and you know okay 135 00:07:10,290 --> 00:07:07,810 right this is what I get for not 136 00:07:15,180 --> 00:07:10,300 clicking it often enough now there's 137 00:07:17,400 --> 00:07:15,190 also a what I call a wipeout probability 138 00:07:19,500 --> 00:07:17,410 this shows the chance of ending up at 139 00:07:23,760 --> 00:07:19,510 the end of the month with half or less 140 00:07:26,400 --> 00:07:23,770 of your initial investment pool now this 141 00:07:28,530 --> 00:07:26,410 risk ranges from 31 percent to 11 142 00:07:30,380 --> 00:07:28,540 percent depending on the market but it 143 00:07:35,040 --> 00:07:30,390 is clearly not negligible 144 00:07:36,960 --> 00:07:35,050 ergo low accuracy ARV investing even 145 00:07:40,020 --> 00:07:36,970 though it expects to show a profit in 146 00:07:42,240 --> 00:07:40,030 the long term you really need to pursue 147 00:07:44,520 --> 00:07:42,250 it only with a pool of risk capital in 148 00:07:49,290 --> 00:07:44,530 which you can afford temporary setbacks 149 00:07:50,610 --> 00:07:49,300 from which you later recover now finally 150 00:07:53,940 --> 00:07:50,620 there's the question it is better 151 00:07:58,530 --> 00:07:53,950 accuracy the holy grail of ARV research 152 00:08:01,740 --> 00:07:58,540 actually worth it in most attempts to 153 00:08:05,520 --> 00:08:01,750 reduce displacement have that best had 154 00:08:07,380 --> 00:08:05,530 limited success every approach ok I'm 155 00:08:09,390 --> 00:08:07,390 saying here all approaches for reducing 156 00:08:11,400 --> 00:08:09,400 displacement I should apply a caveat all 157 00:08:14,130 --> 00:08:11,410 approaches that I know of or have been 158 00:08:16,170 --> 00:08:14,140 able to think of will have the effect of 159 00:08:18,330 --> 00:08:16,180 reducing the rate at which predictions 160 00:08:20,190 --> 00:08:18,340 are made my previous set of graphs 161 00:08:22,170 --> 00:08:20,200 assumed for example that on that one 162 00:08:24,000 --> 00:08:22,180 month of trading data somebody was 163 00:08:28,620 --> 00:08:24,010 submitting a trade every single day the 164 00:08:33,280 --> 00:08:28,630 market was open this graph is a 165 00:08:36,040 --> 00:08:33,290 break-even curve it shows the 166 00:08:38,170 --> 00:08:36,050 the trade-off between improving your 167 00:08:43,930 --> 00:08:38,180 accuracy and reducing the rate at which 168 00:08:48,190 --> 00:08:43,940 you make predictions so for instance if 169 00:08:50,820 --> 00:08:48,200 you want to go from 55 to 60% you can 170 00:08:54,220 --> 00:08:50,830 afford to lose half your predictions and 171 00:08:58,360 --> 00:08:54,230 you'll still be gaining at the same 172 00:09:00,010 --> 00:08:58,370 average rate if you're in this area 173 00:09:02,650 --> 00:09:00,020 you're better off with whatever you're 174 00:09:07,090 --> 00:09:02,660 doing to improve accuracy but if you're 175 00:09:09,010 --> 00:09:07,100 down here for instance the your accuracy 176 00:09:12,430 --> 00:09:09,020 improvement actually impedes your 177 00:09:15,250 --> 00:09:12,440 performance so for instance if if you've 178 00:09:22,030 --> 00:09:15,260 got some magical recipe for filtering 179 00:09:24,190 --> 00:09:22,040 out ARV trials that lets you make 80% 180 00:09:26,790 --> 00:09:24,200 accurate predictions but you have to 181 00:09:32,680 --> 00:09:26,800 throw away nine-tenths of your data 182 00:09:35,980 --> 00:09:32,690 you're better off not using it so to sum 183 00:09:38,200 --> 00:09:35,990 up ARV applications may not be 184 00:09:41,230 --> 00:09:38,210 immediately obvious in particular 185 00:09:44,340 --> 00:09:41,240 applying error correcting procedures to 186 00:09:48,930 --> 00:09:44,350 complex targets may reveal unexpected 187 00:09:55,000 --> 00:09:52,000 until breakthroughs to higher accuracy 188 00:09:57,850 --> 00:09:55,010 occur applications must plan to