1. S₀ = 100, K = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1. European call. What is the price in dollars today? xxxx.
2. S₀ = 100, K = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1. European put. What is the price in dollars today? xxxx.
3. S₀ = 100, K = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1. American call. What is the price in dollars today? xxxx.
4. S₀ = 100, K = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1. American put. What is the price in dollars today? xxxx.

In the following, S₀ is the stock price in dollars as of today, K is the strike price in dollars, r is the continuously-compounded risk-free interest (as a decimal), q is the continuous dividend yield (as a decimal), sigma is the volatility (as a decimal) and T is the time to maturity in years.

Compute option prices in dollars (to four decimal places) for the following types of options and the following parameter values with a three step binomial tree.