The slope of the line segment connecting these points is the (negative) average price that the trade is executed at:
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Expresión 14: "y" equals negative "p" Subscript, "e" "x" "e" "c" "u" "t" "i" "o" "n" , Baseline "x" plus "y" Subscript, "s" "t" "a" "r" "t" , Baseline plus "y" Subscript, "e" "n" "d" , Baseline left brace, "x" Subscript, "l" "o" "w" , Baseline less than or equal to "x" less than or equal to "x" Subscript, "h" "i" "g" "h" , Baseline , right bracey=−pexecutionx+ystart+yendxlow≤x≤xhigh
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For infinitesimally small trades, the price is the slope of the tangent line at that point.
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Expresión 16: "y" equals negative "p" Subscript, "s" "t" "a" "r" "t" , Baseline times "x" plus 2 "y" Subscript, "s" "t" "a" "r" "t" , Baseliney=−pstart·x+2ystart
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Expresión 17: "y" equals negative "p" Subscript, "e" "n" "d" , Baseline "x" plus 2 "y" Subscript, "e" "n" "d" , Baseliney=−pendx+2yend
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Calculations
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Expresión 46: left parenthesis, StartFraction, "x" Subscript, "e" "n" "d" , Baseline minus "x" Subscript, "s" "t" "a" "r" "t" , Baseline Over 2 , EndFraction plus "x" Subscript, "s" "t" "a" "r" "t" , Baseline , StartFraction, "y" Subscript, "e" "n" "d" , Baseline minus "y" Subscript, "s" "t" "a" "r" "t" , Baseline Over 2 , EndFraction plus "y" Subscript, "s" "t" "a" "r" "t" , Baseline , right parenthesisxend−xstart2+xstart,yend−ystart2+ystart
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Expresión 47: left parenthesis, "x" Subscript, "s" "t" "a" "r" "t" , Baseline plus StartFraction, "x" Subscript, "i" "n" , Baseline Over 2 , EndFraction , "y" Subscript, "s" "t" "a" "r" "t" , Baseline , right parenthesisxstart+xin2,ystart
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Expresión 48: left parenthesis, "x" Subscript, "s" "t" "a" "r" "t" , Baseline minus StartFraction, "x" Subscript, "o" "u" "t" , Baseline Over 2 , EndFraction , "y" Subscript, "s" "t" "a" "r" "t" , Baseline , right parenthesisxstart−xout2,ystart
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Expresión 49: left parenthesis, "x" Subscript, "e" "n" "d" , Baseline , "y" Subscript, "s" "t" "a" "r" "t" , Baseline plus StartFraction, "y" Subscript, "i" "n" , Baseline Over 2 , EndFraction , right parenthesisxend,ystart+yin2
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Expresión 50: left parenthesis, "x" Subscript, "e" "n" "d" , Baseline , "y" Subscript, "s" "t" "a" "r" "t" , Baseline minus StartFraction, "y" Subscript, "o" "u" "t" , Baseline Over 2 , EndFraction , right parenthesisxend,ystart−yout2