Company Manash's share price is currently traded at $100. Over each of the next two month periods, it is expected to go up by 72 or down by 5%. The risk-free interest rate is 6% per annum with continuous compounding (Required: Show your work step by step) (a) Consider an 8-month European put option with a strike price of $105, calculate the option values at nodes A-F in the following binomial tree. Show your calculation and explain Node D S. 114.49 Node S 107 Node A Node E S.- 101.65 S: 100 fo Nodec Sy95 1 Node S90,25 (b) If the put option is American, would it be optimal to exercise it early at nodes and c? Show your calculation and explain Company Manash's share price is currently traded at $100. Over each of the next two month periods, it is expected to go up by 72 or down by 5%. The risk-free interest rate is 6% per annum with continuous compounding (Required: Show your work step by step) (a) Consider an 8-month European put option with a strike price of $105, calculate the option values at nodes A-F in the following binomial tree. Show your calculation and explain Node D S. 114.49 Node S 107 Node A Node E S.- 101.65 S: 100 fo Nodec Sy95 1 Node S90,25 (b) If the put option is American, would it be optimal to exercise it early at nodes and c? Show your calculation and explain