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Let A be a square matrix and denote its determinant by x. Then the determinant of A transposed is:
Solve the simultaneous linear equations: x + 2y - 2 = 0 and y - 3x = 8
Which of the following is consistent with the definition of a Type I error?
I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 50%. The volatility of my portfolio is
An underlying asset price is at 100, its annual volatility is 25% and the risk free interest rate is 5%. A European put option has a strike of 105 and a maturity of 90 days. Its Black-Scholes price is 7.11. The options sensitivities are: delta = -0.59; gamma = 0.03; vega = 19.29. Find the delta-gamma approximation to the new option price when the underlying asset price changes to 105
Evaluate the derivative of exp(x2 + 2x + 1) at the point x = -1
Let a, b and c be real numbers. Which of the following statements is true?
Which of the following statements about skewness of an empirical probability distribution are correct?
1. When sampling returns from a time series of asset prices, discretely compounded returns exhibit higher skewness than continuously compounded returns
2. When the mean is significantly less than the median, this is an indication of negative skewness
3. Skewness is a sign of asymmetry in the dispersion of the data
Consider the linear regression model for the returns of stock A and the returns of stock B. Stock A is 50% more volatile than stock B. Which of the following statements is TRUE?
The sum of the infinite series 1+1/2+1/3+1/4+1/5+.... equals:
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