Problem 4: With the same parameters as in Problem 2, but the additional parameters $n_1 = 4, n_2 =6,$ and $b=66$: price a down and out barrier option, that has payoff at time $T$ of $$ C_T = (S_T -K)^+ I\{ S_{n_1} \geq b, S_{n_2} \geq b \}.$$ Use $n=100, n=1000, n=10,000$ id copies of $C_T$ (for averaging). In the above, recall that for any event $A$, $I\{A\}$ denotes the indicator random variable defined by $$ 1\{A\} = \left\{ \begin{array}{Il} 1 & \mbox{if $A$ occurs,} || 0 & \mbox{if $A$ does not occur.} \end{array} \right. $$ Here, $A = \{S_{n_1} \geq b, S_{n_2} \geq b\}$. # write your code here # you may add more cells as needed
Problem 4: With the same parameters as in Problem 2, but the additional parameters $n_1 = 4, n_2 =6,$ and $b=66$: price a down and out barrier option, that has payoff at time $T$ of $$ C_T = (S_T -K)^+ I\{ S_{n_1} \geq b, S_{n_2} \geq b \}.$$ Use $n=100, n=1000, n=10,000$ id copies of $C_T$ (for averaging). In the above, recall that for any event $A$, $I\{A\}$ denotes the indicator random variable defined by $$ 1\{A\} = \left\{ \begin{array}{Il} 1 & \mbox{if $A$ occurs,} || 0 & \mbox{if $A$ does not occur.} \end{array} \right. $$ Here, $A = \{S_{n_1} \geq b, S_{n_2} \geq b\}$. # write your code here # you may add more cells as needed
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Python
![Problem 4: with the same parameters as in Problem 2, but the additional parameters $n_1 = 4, n_2
=6,$ and $b=66$: price a down and out barrier option, that has payoff at time $T$ of
$$ C_T = (S_T -K)^+ I\{ S_{n_1} \geq b, S_{n_2} \geq b \}.$$
%3D
Use $n=100, n=1000, n=10,000$ id copies of $C_T$ (for averaging).
In the above, recall that for any event $A$, $1\{A\}$ denotes the indicator random variable defined
by
$$ I{{A\} = \left\{ \begin{array}{II} 1 & \mbox{if $A$ occurs,} || 0 & \mbox{if $A$ does not occur.}
%3D
\end{array} \right. $$
Here, $A = \{S_{n_1} \geq b, S_{n_2} \geq b\}$.
%3D
In [5]:
# write your code here
# you may add more cells as needed](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb50b192-d806-41ad-a04f-9ede85002424%2F21aaf8e1-f1a3-493e-9482-85f5c5fe1844%2Fxgj9iub_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 4: with the same parameters as in Problem 2, but the additional parameters $n_1 = 4, n_2
=6,$ and $b=66$: price a down and out barrier option, that has payoff at time $T$ of
$$ C_T = (S_T -K)^+ I\{ S_{n_1} \geq b, S_{n_2} \geq b \}.$$
%3D
Use $n=100, n=1000, n=10,000$ id copies of $C_T$ (for averaging).
In the above, recall that for any event $A$, $1\{A\}$ denotes the indicator random variable defined
by
$$ I{{A\} = \left\{ \begin{array}{II} 1 & \mbox{if $A$ occurs,} || 0 & \mbox{if $A$ does not occur.}
%3D
\end{array} \right. $$
Here, $A = \{S_{n_1} \geq b, S_{n_2} \geq b\}$.
%3D
In [5]:
# write your code here
# you may add more cells as needed
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