Instructions:

In the first file, you need to construct the table of the Butterfly and draw the pay$-$off diagram $($graph$).$

Call prices

$\backslash$table$[[$x$,$Price,Strategy$],[40,12\mathrm{.}00,$buy $1],[50,8\mathrm{.}00,$write $2],[60,5\mathrm{.}00,$buy $1]]$

Payoff and profits

$\backslash$table$[[\backslash$table$[[$Stock$],[$price$],[$at option$],[$expiratio$],[$n$,$S$\_($T$)]],\backslash$table$[[$Payoff on$],[$x$=40],[$call$]],\backslash$table$[[$Payoff on$],[$x$=50],[$call$]],\backslash$table$[[$Payoff on$],[$x$=60],[$call$]],\backslash$table$[[$Total$],[$profit$]]],[30\mathrm{.}0],[35\mathrm{.}0],[40\mathrm{.}0],[45\mathrm{.}0],[50\mathrm{.}0],[52\mathrm{.}5],[55\mathrm{.}0],[57\mathrm{.}5],[60\mathrm{.}0],[62\mathrm{.}5],[65\mathrm{.}0],[67\mathrm{.}5],[70\mathrm{.}0],[72\mathrm{.}5],[75\mathrm{.}0],[80\mathrm{.}0],[85\mathrm{.}0],[90\mathrm{.}0,,,,]]$