Exact payoff at average wind productivity (simplified to assume average wind as input):
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Expression 10: "y" equals 1 plus StartRoot, StartFraction, left parenthesis, 2.5 minus StartNestedFraction, left parenthesis, 2.5 minus "l" , right parenthesis NestedOver 2 , EndNestedFraction , right parenthesis "x" Over 35 times 16 "n" , EndFraction , EndRoot Has graph. To audio trace, press ALT+T.y=1+2.5−2.5−l2x35·16n
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Expected payoff at wind productivity (simplified to assume linear wind distribution):
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Expression 12: "y" equals 1 plus StartFraction, Start integral from "l" to 2.5, end integral, StartRoot, StartNestedFraction, "p" times "x" NestedOver 35 times 16 "n" , EndNestedFraction , EndRoot "d" "p" Over 2.5 minus "l" , EndFraction Has graph. To audio trace, press ALT+T.y=1+∫2.5lp·x35·16ndp2.5−l
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Maximum payoff at wind productivity:
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Expression 14: "y" equals 1 plus StartRoot, StartFraction, 2.5 "x" Over 35 times 16 "n" , EndFraction , EndRoot Has graph. To audio trace, press ALT+T.y=1+2.5x35·16n
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Minimum payoff at wind lower bound productivity:
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Expression 16: "y" equals 1 plus StartRoot, StartFraction, "l" times "x" Over 35 times 16 "n" , EndFraction , EndRoot Has graph. To audio trace, press ALT+T.y=1+l·x35·16n