Cylon Co$.$ offers a security for sale that pays an annual $$200$ payment forever, while market interest rates are $9\%.$ Explain how to calculate using finance calculator $($BA II$)$ and what to enter to get results.

a$.$ What is this security worth today?

b$.$ If the annual payment of $$200$ grows at a rate of $5\%$ every year, what is the security worth?

c$.$ If market interest rates increase, what will happen to the current value of the security? Show an example.