use python to slove this qustion: The current price of gold is $1,146$ per ounce. In a year$$s time, the price of gold is expected to be up to $1200$ or down to $1050.$ Using a one step binomial tree, with an interest rate of $4\mathrm{.}2\%$:

$($a$)$ Call option for an ounce of gold in a year$$s time, with strike price K of $1150.$

$($b$)$ Put option for an ounce of gold in a year$$s time, with strike price K of $1150$