SIM 3
Price trajectory and PNL curves

Top chart:
full price trajectories (bid/ask) with orders (sell in red, buy in blue)
squares represents delayed orders in S*

Bottom chart:
full PNL history of both strategies S (blue) and S* (red) using HTI

Textbox:
tickdata and orders (bid/ask tickdata without orders are skipped and just counted)
arrows denotes delayed orders


-Instrument specs-
symbol: ES CME E-mini S&P 500
ticksize: $0.25
multiplier: 50
initPrice:  $4552.25
annualDriftPerc: 10.13%
endOfYearAbsoluteDrift: 461.142925
endOfYearAbsoluteDriftAsNumberOfTicks : 1844.5717
annualVolatilityPerc: 10.2%
endOfYearAbsoluteVolatility: 464.3295
endOfYearAbsoluteVolatilityAsNumberOfTicks : 1857.318
commissionPerUnit:  $2.2
rateTicksPerHour: 700/h
minOrder: 1
maxMultipleOfMinOrder: 5
maxSpreadAsNumberOfTicks:  2

-Sim params-
rnd_Prices_Seed : 333580
rnd_Orders_Seed : 318341
rnd_DelayB  : 121683
maxNumberOfpriceIntervals: 10000000
avgOrderRateDay: 0.5
probabilityOfOrderPerTick: 0
targetNumberOfPhases: 4
maxLengthQueue: 2
BernoulliDelayProbability: 1
toleranceOfStructureViolationPerc: 0.5%
gainOverStructurePerc: 0.5%
minOrderSpacePerc: 0.6%
minDistanceEnqueuedOrdersSameSidePerc: 1.9%

Phase 1 ΔPnL: $8,525.00 Elapsed hours for 1,814,086 new ticks at given avg tickrate (700/h): 2591.55h (107.98 days)
Phase 2 ΔPnL: $14,225.00 Elapsed hours for 1,896,022 new ticks at given avg tickrate (700/h): 2708.6h (112.86 days)
Phase 3 ΔPnL: $23,487.50 Elapsed hours for 2,172,929 new ticks at given avg tickrate (700/h): 3104.18h (129.34 days)
Phase 4 ΔPnL: $58,875.00 Elapsed hours for 3,253,512 new ticks at given avg tickrate (700/h): 4647.87h (193.66 days)

Bid           Ask                Orders                             Position     PnL         Real        Unr                   Delayed (S*)              Position     PnL         Real         Unr

4552.25    4552.50                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4552.00    4552.25                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4552.25    4552.50                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4552.50    4552.75                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4552.25    4552.50                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4552.50    4552.75                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4552.75    4553.00                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.00    4553.25                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4552.75    4553.00                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.00    4553.25                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.25    4553.50                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.50    4553.75                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.25    4553.50                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.00    4553.25                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.25    4553.50                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.00    4553.25                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.25    4553.50                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.50    4553.75                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.50    4553.75                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
4553.75    4554.00                                                   0        0.00         0.00        0.00                                               0        0.00         0.00        0.00
[skipped 46,822]
4524.00    4524.25      Id0 Sell 4@4524.00                          -4      -67.60         0.00      -50.00                                              -4      -67.60         0.00      -50.00
[skipped 132,118]
4388.75    4389.00      Id1 Buy 2@4389.00                           -2    26982.40     13500.00    13500.00                                              -2    26982.40     13500.00    13500.00
[skipped 256,724]
4487.75    4488.00      Id2 Sell 3@4487.75                          -5    17031.70     13500.00     3562.50                                              -5    17031.70     13500.00     3562.50
[skipped 184,189]
4518.75    4519.00      Id3 Sell 5@4518.75                         -10     9197.20     13500.00    -4250.00                                             -10     9197.20     13500.00    -4250.00
[skipped 61,089]
4557.25    4557.50      Id4 Buy 2@4557.50 =>                        -8   -10052.80     10150.00   -20150.00                                             -10   -10052.80     13500.00   -23500.00
[skipped 13,297]
4517.25    4517.50      Id5 Sell 1@4517.25                          -9     5930.30     10150.00    -4162.50                                             -11     9930.30     13500.00    -3512.50
[skipped 80,857]
4547.25    4547.50      Id6 Buy 5@4547.50                           -4    -7569.70     -1687.50    -5825.00                                              -6    -6569.70      2187.50    -8700.00
[skipped 79,861]
4585.75    4586.00      Id7 Buy 1@4586.00                           -3   -15269.70     -5050.00   -10162.50                                              -5   -18119.70     -1175.00   -16887.50
[skipped 83,968]
4514.50    4514.75      Id8 Sell 4@4514.50                          -7    -4649.80     -5050.00      475.00                                              -9     -374.80     -1175.00      875.00
[skipped 97,441]
4558.75    4559.00      Id9 Buy 4@4559.00                           -3   -20137.30    -13387.50    -6675.00                                              -5   -20287.30     -9225.00   -10987.50
[skipped 244,690]
4593.00    4593.25      Id10 Sell 4@4593.00                         -7   -25342.40    -13387.50   -11862.50                                              -9   -28917.40     -9225.00   -19600.00
[skipped 427,173]
4561.00    4561.25      Id11 Sell 1@4561.00                         -8   -14159.30    -13387.50     -675.00                                             -10   -14534.30     -9225.00    -5212.50
[skipped 48,256]
4530.25    4530.50      Id12 Sell 5@4530.25                        -13    -1943.80    -13387.50    11562.50                                             -15      756.20     -9225.00    10100.00
[skipped 49,752]
4501.25    4501.50      Id13 Sell 1@4501.25                        -14    16889.30    -13387.50    30400.00                                             -16    22489.30     -9225.00    31837.50
[skipped 7,318]
4472.00    4472.25                                                 -14    37364.30    -13387.50    50875.00  Id4 Buy 2@4472.25 [4557.50-->4472.25]      -14    45889.30     -4862.50    50875.00
Empty queue ------------------------------------------
[skipped 33,520]
4531.50    4531.75      Id14 Buy 3@4531.75                         -11    -4285.70    -15975.00    11812.50                                             -11     4239.30     -7450.00    11812.50
[skipped 33,103]
4560.25    4560.50      Id15 Buy 2@4560.50 =>                       -9   -20098.20    -12725.00    -7250.00                                             -11   -11573.20     -7450.00    -4000.00
[skipped 15,737]
4503.25    4503.50                                                  -9     5551.80    -12725.00    18400.00  Id15 Buy 2@4503.50 [4560.50-->4503.50]      -9    19776.80      1500.00    18400.00
Empty queue ------------------------------------------
[skipped 152,716]
4532.00    4532.25      Id16 Buy 1@4532.25                          -8    -7385.70     -9687.50     2425.00                                              -8     6839.30      4537.50     2425.00
[skipped 39,289]
4564.25    4564.50      Id17 Buy 3@4564.50 =>                       -5   -20285.70    -10150.00   -10012.50                                              -8    -6060.70      4537.50   -10475.00
[skipped 7,555]
4595.75    4596.00      Id18 Sell 2@4595.75                         -7   -28194.50    -10150.00   -17912.50                                             -10   -18694.50      4537.50   -23100.00
[skipped 59,318]
4502.50    4502.75                                                  -7     4443.00    -10150.00    14725.00  Id17 Buy 3@4502.75 [4564.50-->4502.75]      -7    27930.50     13337.50    14725.00
Empty queue ------------------------------------------
[skipped 33,724]
4502.00    4502.25      Id19 Buy 1@4502.25                          -6     4618.00     -8750.00    13500.00                                              -6    28105.50     14737.50    13500.00
[skipped 80,004]
4418.50    4418.75      Id20 Buy 5@4418.75                          -1    29668.00     20950.00     8850.00                                              -1    53155.50     44437.50     8850.00
[skipped 64,268]
4474.50    4474.75      Id21 Sell 5@4474.50 =>                      -6    26783.50     20950.00     5987.50                                              -1    50355.50     44437.50     6050.00
[skipped 29,328]
4440.00    4440.25      Id22 Sell 5@4440.00                        -11    37049.00     20950.00    16275.00                                              -6    51996.00     44437.50     7712.50
[skipped 82,951]
4344.75    4345.00      Id23 Sell 2@4344.75 =>                     -13    89402.70     20950.00    68637.50                                              -6    80571.00     44437.50    36287.50
[skipped 366,370]
4284.50    4284.75      Id24 Sell 4@4284.50                        -17   128497.60     20950.00   107750.00                                             -10    98578.40     44437.50    54312.50
[skipped 29,540]
4233.00    4233.25      Id25 Sell 4@4233.00                        -21   172205.00     20950.00   151475.00                                             -14   124260.80     44437.50    80012.50
[skipped 21,429]
4264.25    4264.50      Id26 Buy 4@4264.50                         -17   139392.50     69012.50    70600.00                                             -10   102385.80     87325.00    15250.00
[skipped 38,837]
4204.00    4204.25      Id27 Buy 2@4204.25                         -15   190605.00     96037.50    94787.50                                              -8   132510.80    110900.00    21800.00
[skipped 31,363]
4292.25    4292.50      Id28 Sell 2@4292.25                        -17   124383.70     96037.50    28575.00                                             -10    97177.00    110900.00   -13525.00
[skipped 26,739]
4361.50    4361.75      Id29 Sell 2@4361.50                        -19    65487.40     96037.50   -30312.50                                             -12    62518.20    110900.00   -48175.00
[skipped 50,478]
4415.00    4415.25      Id30 Buy 4@4415.25                         -15    14662.40    100987.50   -86087.50                                              -8    30418.20     84750.00   -54125.00
[skipped 14,552]
4368.00    4368.25      Id31 Buy 4@4368.25                         -11    49912.40     98037.50   -47887.50                                              -4    49218.20     57700.00    -8275.00
[skipped 25,280]
4427.00    4427.25      Id32 Buy 2@4427.25                          -9    17462.40     83762.50   -66062.50                                              -2    37418.20     44200.00    -6575.00
[skipped 6,422]
4399.50    4399.75      Id33 Sell 2@4399.50                        -11    29803.60     83762.50   -53712.50                                              -4    40134.40     44200.00    -3850.00
[skipped 46,777]
4440.75    4441.00      Id34 Sell 1@4440.75                        -12     7099.20     83762.50   -76412.50                                              -5    31867.50     44200.00   -12112.50
[skipped 122,437]
4497.75    4498.00      Id35 Buy 1@4498.00                         -11   -27100.80     73087.50   -99937.50                                              -4    17617.50     37375.00   -19537.50
[skipped 24,916]
4528.25    4528.50      Id36 Buy 3@4528.50                          -8   -43875.80     28762.50   -72387.50                                              -1    11517.50     16125.00    -4387.50
[skipped 3,012]
4534.25    4534.50                                                  -8   -46275.80     28762.50   -74787.50  Id23 Sell 2@4534.25 [4344.75-->4534.25]     -3    11183.70     16125.00    -4712.50
Empty queue ------------------------------------------

-Results-
priceIntervalCounter:              3,253,512
countRandomOrders:                 37
countRandomOrdersUndelayed:        32
countRandomOrdersDelayed:          5
countRandomOrdersDelayedExecuted:  5
countPhases:                       4
queueDelayedOrders.Count:          0
Elapsed hours for 3,253,512 new ticks at given avg tickrate (700/h): 4647.87h (193.66 days)

PnL differences at phases:
Phase 1 ΔPnL: $8,525.00
Phase 2 ΔPnL: $14,225.00
Phase 3 ΔPnL: $23,487.50
Phase 4 ΔPnL: $58,875.00