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Power payoff in the Black-Scholes model
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Probability and statistics
Probability theory
Stochastic process
Brownian motion
Exponential Brownian martingale
Risk-neutral measure for the Black-Scholes model
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The time-zero price of the payoff
S
T
p
is
S
0
p
exp
[
(
(
p
−
1
)
r
+
2
1
p
(
p
−
1
)
σ
2
)
T
]
.
(33)
Ancestors
(9)
Risk-neutral measure for the Black-Scholes model
Exponential Brownian martingale
Brownian motion
Stochastic process
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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