Expression 40: "b" equals "y" Subscript, "n" "o" "w" , Baseline plus "p" Subscript, "n" "o" "w" , Baseline "x" Subscript, "n" "o" "w" , Baselineb=ynow+pnowxnow
equals=
51.7 1 5 5 2 1 8 1 0 851.7155218108
40
Expression 41: left parenthesis, "x" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "t" , 1 , right parenthesis , "y" Subscript, "s" "i" "n" "g" "l" "e" , Baseline left parenthesis, "t" , 1 , right parenthesis , right parenthesisxcumulativet,1,ysinglet,1
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 10001000
41
Expression 42: left parenthesis, "x" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "t" , 2 , right parenthesis , "y" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "t" , 2 , right parenthesis , right parenthesisxcumulativet,2,ycumulativet,2
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 10001000
42
Expression 43: left parenthesis, "x" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "t" , 3 , right parenthesis , "y" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "t" , 3 , right parenthesis , right parenthesisxcumulativet,3,ycumulativet,3
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 10001000
43
Expression 44: left parenthesis, "x" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "t" , 4 , right parenthesis , "y" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "t" , 4 , right parenthesis , right parenthesisxcumulativet,4,ycumulativet,4
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 10001000
44
Expression 45: "x" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "t" , "n" , right parenthesis equals Start sum from "k" equals 1 to "n" , end sum, "x" Subscript, "s" "i" "n" "g" "l" "e" , Baseline left parenthesis, "t" , "k" , right parenthesisxcumulativet,n=n∑k=1xsinglet,k
45
Expression 46: "y" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "t" , "n" , right parenthesis equals Start sum from "k" equals 1 to "n" , end sum, "y" Subscript, "s" "i" "n" "g" "l" "e" , Baseline left parenthesis, "t" , "k" , right parenthesisycumulativet,n=n∑k=1ysinglet,k
46
Expression 47: "l" Subscript, "c" "u" "m" "u" "l" "a" "t" "i" "v" "e" , Baseline left parenthesis, "n" , "p" Subscript, "c" "u" "r" "r" "e" "n" "t" , Baseline , right parenthesis equals Start sum from "i" equals 1 to "n" , end sum, "f" Subscript, "p" "o" "s" "i" "t" "i" "o" "n" "l" "i" "q" "u" "i" "d" "i" "t" "y" , Baseline left parenthesis, "i" , "p" Subscript, "c" "u" "r" "r" "e" "n" "t" , Baseline , right parenthesislcumulativen,pcurrent=n∑i=1fpositionliquidityi,pcurrent
47
`p`: `${p_{now}}` left parenthesis, "x" Subscript, "n" "o" "w" , Baseline , "y" Subscript, "n" "o" "w" , Baseline , right parenthesisxnow,ynow
Expression 52: "p" Subscript, "w" "i" "d" "t" "h" , Baseline left parenthesis, "s" , right parenthesis equals "p" Subscript, "l" "i" "q" "u" "i" "d" "i" "t" "i" "e" "s" , Baseline left bracket, "s" , right bracket times left parenthesis, StartFraction, 1 Over StartRoot, "p" Subscript, "l" "o" "w" "e" "r" "p" "r" "i" "c" "e" "s" , Baseline left bracket, "s" , right bracket , EndRoot , EndFraction minus StartFraction, 1 Over StartRoot, "p" Subscript, "u" "p" "p" "e" "r" "p" "r" "i" "c" "e" "s" , Baseline left bracket, "s" , right bracket , EndRoot , EndFraction , right parenthesispwidths=pliquiditiess·1plowerpricess−1pupperpricess
52
Expression 53: "p" Subscript, "h" "e" "i" "g" "h" "t" , Baseline left parenthesis, "s" , right parenthesis equals "p" Subscript, "l" "i" "q" "u" "i" "d" "i" "t" "i" "e" "s" , Baseline left bracket, "s" , right bracket times left parenthesis, StartRoot, "p" Subscript, "u" "p" "p" "e" "r" "p" "r" "i" "c" "e" "s" , Baseline left bracket, "s" , right bracket , EndRoot minus StartRoot, "p" Subscript, "l" "o" "w" "e" "r" "p" "r" "i" "c" "e" "s" , Baseline left bracket, "s" , right bracket , EndRoot , right parenthesispheights=pliquiditiess·pupperpricess−plowerpricess
53
Liquidity chart
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54
Expression 71: "p" Subscript, "m" "i" "n" , Baseline equals min left parenthesis, "p" Subscript, "l" "o" "w" "e" "r" "p" "r" "i" "c" "e" "s" , Baseline , right parenthesispmin=minplowerprices
equals=
0.0 30.03
71
Expression 72: "p" Subscript, "m" "a" "x" , Baseline equals max left parenthesis, "p" Subscript, "u" "p" "p" "e" "r" "p" "r" "i" "c" "e" "s" , Baseline , right parenthesispmax=maxpupperprices
equals=
6.5 56.55
72
`p`: `${p_{now}}` left parenthesis, "x" Subscript, "m" "a" "p" "f" "r" "o" "m" "p" , Baseline left parenthesis, "p" Subscript, "n" "o" "w" , Baseline , right parenthesis , "a" Subscript, "y" , Baseline plus "a" Subscript, "h" "e" "i" "g" "h" "t" , Baseline , right parenthesisxmapfromppnow,ay+aheight
Label:
equals=
left parenthesis, 48.9 8 3 0 0 6 5 , 80 , right parenthesis48.9830065,80
73
Log(price) left parenthesis, "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline minus 1 , right parenthesisax,ay−1
Label:
equals=
left parenthesis, 47.4 , 29 , right parenthesis47.4,29
74
Liquidity: left parenthesis, "a" Subscript, "x" , Baseline plus "a" Subscript, "w" "i" "d" "t" "h" , Baseline plus 3 , "a" Subscript, "y" , Baseline plus 30 , right parenthesisax+awidth+3,ay+30
Label:
equals=
left parenthesis, 60.4 , 60 , right parenthesis60.4,60
75
Expression 76: "x" Subscript, "o" "f" "f" "s" "e" "t" , Baseline left parenthesis, "i" , right parenthesis equals StartFraction, "p" Subscript, "l" "i" "q" "u" "i" "d" "i" "t" "i" "e" "s" , Baseline left bracket, "i" , right bracket Over StartRoot, "p" Subscript, "u" "p" "p" "e" "r" "p" "r" "i" "c" "e" "s" , Baseline left bracket, "i" , right bracket , EndRoot , EndFractionxoffseti=pliquiditiesipupperpricesi