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Question: Suppose that $1, 000 is invested in European call options on a stock with current price S(0) = 60 dollars. The options expire after 6 months with strike price X = 40 dollars. Assume that σ = 30%, r = 8%, and the expected logarithmic return on stock is 12%. Compute VaR after 6 months at 95% confidence level. Find the final wealth if the stock price grows at the expected rate. Find the stock price level that will be exceeded with 5% probability and compute the corresponding final payoff.
A picture measures 5 1/8 inch by 10 1/4 inch. The frame for the picture is 3/4 inch wide. What are the dimensions of the picture, including the frame?
Verify that the Fourier Isometry holds on [-π, π] for f(t) = t. To do this, a) calculatethe coefficients of the orthogonal Fourier series from the orthogonal series representation, b)calculate the sum of the squared coefficients, and c) Calculate the..
gary deposits 3700 in an account that pays 2.15 simple interest. he keeps the money in the account for three years but
A jet takes the same time to travel 2580 km with the wind as it does to travel 1800 km against the wind. If its speed relative to the air is 450 km/h.
Determine all integer solutions to 5x - 7y = 99. Watch the minus sign. Looking for the solution to this diophantene equation.
Consider the equation (x - 1)(x + 2) = 5(x - 1). First, solve this equation by dividing each side of the equation by x-1.Second, solve the equation by first "FOIL"ing the left side, then simplifying by bring all terms to the left side of the equation..
a) Find the value of b so that the system has an infinite number of solutions. b) Find the value of b so that the system has a single solution.
You work for a manufacturing company that has an annual revenue of $50 million. Your organization has experienced a 2% increase in sales for the past 5 years, however, the market average for your industry is a 7-10% growth per year. The organizati..
A projectile is fired straight upward from ground level with an initial velocity of 112 feet per second. At what instant will it be back at ground level?
Using M-method solve the above LP. Does the problem has alternative optimal solution? If so, find all the alternative optimal solutions.
Find the residue of g(z) = ((e^(z^2) - 1) / (sin(z) - z)) at the singularity z = 0.
Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
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