part A: Consider the CEO of a U.S. financial Institution Ajax Inc who is trying to tailor the needs of a corporate client. Calculate the values of the European Call and Put Option given the following option parameters? 1. S=55, X=54, t= 0.25, r=4%, and the variance 2 =0.49. 2. These options are traded in the NASDAQ Stock Exchange Market at $4 dollars. Are these options overvalued or undervalued?

part B: The President of the Water-Mellon Bank is offering you the Vice President position because he admires your knowledge on the determinants that affect the option prices (e.g., the Greeks of the Option). You are all excited from the offer and you try hard to impress him talking about long and short positions and synthetic securities, respectively. The Treasurer of the bank, however, does not believe you and he think that your knowledge is very limited on these issues. Hence, he is asking you to use an example of option valuation to prove your knowledge and mathematical skills. Use the results that you obtain from Part A above to value the following Greeks, , (with the following values respectively, Stock price=56, Time horizon=4/12 and Volatility= 0.8) of the Call and Put Options, respectively.

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