1. What is the formula for the delta of the option as a function of (S0, U, D, R, VU, VD)?

Consider a call option for an asset with the following parameters

Current spot price is $50 Option expires in 12 months

Each month the asset could increase in value by 3% or decrease in value by inverse

The risk free rate is 25 basis points per month S0 = $50, T=12, U=1.03, D=1/1.03, R=1.0025