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Assignment4
Fin 455
Spring 2024
Due: March 26, 2024
1. You are given the following information: (use continuous compounding).
Current stock price 
$100 
Strike price 
$100 
Annual Volatility (σ) 
25% 
Annual RiskFree rate 
5% 
Time to maturity 
3 months (0.25 years) 
Time step (Δt) 
1 month (1/12 years) 
Up parameter (U) 

Down parameter (D) 
1/U 
Compute the current value of a European call option.
2. A look back option is a call option that allows the holder to buy the stock at the minimum stock price that occurred over the period to expiration. Suppose, S0 = $129, U = 1.5, D = 0.5, and R = 1.1, use a 3period binomial model and find the price of such a contract?
3. You are provided with the following information:
S0 = $129,
X = $80,
U = 1.5,
D = 0.5, and
R = 1.1
a) Compute the value of a call option using the twoperiod binomial model.
b) What are the hedge portfolios at
t = 1 that help price the call option at that time?
c) Suppose the model price were correct, and the call option were priced in the market at $55. Show how one can make arbitrage profits.
4. Price a call option using the oneperiod binomial model assuming the following data:
S0 = 129, K=80, U=1.5, D=0.5 and R=1.1. What does the replicating portfolio consist of?
5. Use the data from problem 5, compute the put price and validate the putcall parity.