If the derivative security pays the stock price at time t=1 in the case of one-period binomial model the at time t=0 the price of the derivative, V0 will be same as S0, where there is no arbitrage.
4. Consider the one-period binomial model, and let V1 S1- That is, the derivative security pays...
4. Consider the one-period binomial model, and let V1 S1- That is, the derivative security pays the stock price at time t-1. Find the time t = 0 no-arbitrage price of the derivative, Vo
1.2. You have a stock in the one-period binomial model such that So and r= 4, S1(H) = 8, S, (T) = 2, 1.5. (a) Show that this setup violates the no-arbitrage assumption. (b) Show that there is a portfolio in the one-period model such that Xo X1 > 0. Such a portfolio is an example of arbitrage extraction. 0, Ao #0, and %3D 1.3. With the same stock as in problem 1.2 but with r = 0.25, suppose that...
1. Consider the one period binomial model and assume 0 < So< 00, S1(H) -- uSo and Si (Τ)-dSo for some 0 〈 1 + r 〈 d 〈 u. P is an arbitrage oportunity. rove or disprove There
1. Consider the one period binomial model and assume 0 < So< 00, S1(H) -- uSo and Si (Τ)-dSo for some 0 〈 1 + r 〈 d 〈 u. P is an arbitrage oportunity. rove or disprove There
Consider the following one-period binomial model for stock price. At t = 0 the stock price is $80 and at t = 1 (t is in years) it could be $70 with probability p > 0 and $y with probability 1 − p. The interest rate is assumed to be 8%. (1) Determine the range of values for y that precludes arbitrage in this model. (2) Assume that y = $83. Construct an arbitrage strategy for this model.1
5. Consider the single period binomial model as in Section 1.2.2. Suppose that d <1+r <u. Show that if there exists an arbitrage opportunity (as in Definition 1.5), then one can find an arbitrage opportunity with V = 0. This means that there is no net cash flow at time 0. (Note: This is a step in the proof of Proposition 1.7 which you should go through carefully.) 1.2.2 Formal logical content The theory we build will be a mathematical...
Consider a one-period binomial model for a long straddle (which results in a payoff of St-K). A stock is currently priced at $100 and goes up by 10% or down by 7% in each time period. Assume an interest rate of 5% in each time period. If you purchase a straddle with a strike price of $110 and price it using a 2-period binomial model, what is the appropriate price? No excel. Please show your work in detail.
1. Consider a model with only one time period. Assume that there exist a stock and a cash bond in the model. The initial price of the stock is $40. The investor believes that with probability 1/5 the stock price will drop to $20 and with probability 4/5 the stock price will rise to $80 at the end of the time period. The cash bond has an initial price of $100 and it will with certainty deliver $110 at the...
5. Consider the 3-period binomial model with So 100, u 2, dand r-1. (a) What is the current price of a lookback call option with a strike price of $100 that pays off (at time three) V3- max Sn - 100 Sn3 (b) What is the time-zero price of a lookback put option with a strike price of $100 that pays off (at time three) V 100-min Sn OSnK3 (c) What is the time-zero price of an Asian call option...
We are given a single-period binomial model with A(0) = 10, A(T) = 20,S(0) = 100 and S(T) = 210 with probability 0.5 and S(T) = 90 with probability 0.5. Assuming no arbitrage exists, find the price C(0) of a call option with strike price X = 150.