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Consider an investor with $10,000 available to invest. He has the following options regarding the allocationof his available funds: (1) he can invest in a risk-free savings account with a guaranteed 3% annual rateof return; (2) he can invest in a fairly safe stock, where the possible annual rates of return are 6%, 8%, or10%; or (3) he can invest in a more risky stock, where the possible annual rates of return are 1%, 9%,or 17%. Note that the investor can place all of his available funds in any one of these options, or he can split his $10,000 into two $5000 investments in any two of these options. The joint probability distribution of the possible return rates for the two stocks is given
a.) just build the payoff matrix model in each caseb.)compute a regret (opportunity loss) matrix.HINT:Your payoff matrix should have six strategies and nine states of nature.
Find the inverse transform and find the Laplace transform - Express the following function in terms of unit step functions
Separation of variables to solve the heat equation problem with inhomogeneous boundary conditions and evaluate your series solution in order to plot the temperature profile at a few fixed values of time.
Discrete-time model for an economy
Every convergent sequence contains either an increasing, or a decreasing subsequence.
Happy Planet drinks price change as the quantity sold changes. In particular p=10-0.005x. The total cost to produce the drinks are $2.50 per drink. Their production factory costs $1000 per month.
Construct a graph showing supply and demand in the tablet case market and how are the laws of supply and demand illustrated in this graph? Explain your answers.
What equation will generate the number of tiles for a height of n? Use the diagrams (you can expand them) and the table to show how you arrived at your equation.
Skew-symmetric matrices
What differentiates a Z test statistic for a population from the z statistic for sampling of the mean? Why difference. Consider a normal population
Calculate the circumfrential and longitudinal stresses in the plates when the internal pressure is 800KN/m sq. If the ultimate tensile stress of the material used is 600 MN/m sq, and the efficiency of the longitudinal joint is 70 per cent, determi..
Sketch a phase diagram corresponding to each of these cases. Try to make some general statements about the structure of equilibrium as a function of the parameters.
Evaluate function when f is U-U continuous.
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