Please fix the errors in the screenshot. Use the Black$$Scholes formula to find the value of the following call option.

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.

Time to expiration $1$ year.

Standard deviation $40\%$ per year.

Exercise price $$82.$

Stock price $$82.$

Interest rate $4\%($effective annual yield$).$

Now recalculate the value of this call option, but use the following parameter values. Each change should be considered independently.

Note: Do not round intermediate calculations. Round your final answers to $2$ decimal places.

Time to expiration $2$ years.

Standard deviation $50\%$ per year.

Exercise price $$92.$

Stock price $$92.$

Interest rate $6\%.$

In which case did increasing the value of the input not increase your calculation of option value?

a$.$ Use the Black$-$Scholes formula to find the value of the following call option.

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.

Time to expiration $1$ year.

Standard deviation $40\%$ per year.

Exercise price $$82.$

Stock price $$82.$

Interest rate $4\%($effective annual yield$).$

b$.$ Now recalculate the value of this call option, but use the following parameter values. Each change should be considered

independently.

Note: Do not round intermediate calculations. Round your final answers to $2$ decimal places.

Time to expiration $2$ years.

Standard deviation $50\%$ per year.

Exercise price $$92.$

Stock price $$92.$

Interest rate $6\%.$

c$.$ In which case did increasing the value of the input not increase your calculation of option value?

Answer is complete but not entirely correct.