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Can you describe what the payoffs from lookback options depend on? Can you write in a concise notation the payoff of a floating lookback call?
a. What is the payoff of a portfolio with a long position in a floating lookback call and with a short position in a floating lookback call with the same maturity on the same underlying asset?
b. Consider a newly written floating lookback put on a non-dividend paying-stock where the stock price is 50, the stock price volatility is 40% per annum, the risk-free rate is 10% per annum (CONT), and the time to maturity is 3 months. Calculate the value of the put.
c. Does any type of put-call parity hold for lookback option? If so, write this relation and explain the different components.
d. Does a floating lookback call become more valuable or less valuable as we increase the frequency with which we observe the asset price in calculating the minimum?
how to do assignments based on these topics more specifically?
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