Word gets out that you are doing such a great job in your new role and so it is not long before you are asked back to UTS to give a guest lecture (via Zoom). The subject coordinator has asked you to help with some of the trickier aspects of lectures 8, 9, and 10 of Derivative Securities (25620). Specifically, you have been asked to go through the calculation of various option prices using both binomial trees and the Black-Scholes model. The example to be used is as follows: A stock is currently trading at $36.50 and has a volatility of 38% per annum and a continuous dividend yield of 4.00% per annum with continuous compounding. The risk-free interest rate is 1.50% per annum with continuous compounding for all maturities. Given your expertise in stock option valuation, you decide to use a five-step binomial tree to calculate the derivative prices (to four decimal places): (c) A long position in a forward contract on the stock for delivery in 10 months at a price of $40.00. 

Calculate also the theoretical value of the forward position.