1. How does the binomial option pricing model improve upon the two-state model? (2 pts.) 2. What is the alpha of a security and what is it used to measure or judge? (2 pts.) Please answer both!
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The binomial option pricing model improves upon the two-state model by allowing for more than two possible outcomes or states. In the two-state model, there are only two possible outcomes, such as up or down, and the probabilities of each outcome are fixed. Show more…
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3. Starting at some fixed time, let S(n) denote the price of a certain security at the end of n additional weeks, n > 1. A popular model for the evolution of these prices assumes that the S(n)/S(n-1) price ratios for n > 1 are independent and identically distributed (i.i.d) lognormal random variables. Assuming this model, with lognormal parameter u = 0.0165 and σ = 0.0730, what is the probability that: a) the price of the security increases over each of the next two weeks? b) The price at the end of two weeks is higher than it is today?
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