Assume that you own one (1) share of stock in Clampett Oil, which is currently valued at $95.51. Assume that 0.6 year(s) from now the stock price will either be $121.48 or $55.58. The annualized risk-free rate is 0.006 and you can hold (i.e., buy or go long) or write (i.e., sell, or go short) Clampett Oil call options with an exercise price of $96.65. Calculate the price for a call option using binomial option pricing and regular discounting, 1/(1+r)t.

Kindly, mention formula used and show working for all steps, thank you!