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Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
PRMIA.8007.v2021-01-31.q46
Question 32
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Let f(x) = c for x in [0,4] and 0 for other values of x. What is the value of the constant c that makes f(x) a probability density function; and what if f(x) = cx for x in [0,4]?
Question List (46q)
Question 1: You intend to invest $100 000 for five years. Four different...
Question 2: Every covariance matrix must be positive semi-definite. If i...
Question 3: When calculating the implied volatility from an option price...
Question 4: A quadratic form is
Question 5: What is a Hessian?
Question 6: Let X be a random variable distributed normally with mean 0 ...
Question 7: On average, one trade fails every 10 days. What is the proba...
Question 8: An option has value 10 when the underlying price is 99 and v...
Question 9: You work for a brokerage firm that charges its client x per ...
Question 10: Consider the linear regression model for the returns of stoc...
Question 11: Over four consecutive years fund X returns 1%, 5%, -3%, 8%. ...
Question 12: Which of the provided answers solves this system of equation...
Question 13: If a time series has to be differenced twice in order to be ...
Question 14: Which of the following statements about variance and standar...
Question 15: Which of the following statements are true about Maximum Lik...
Question 16: Consider two functions f(x) and g(x) with indefinite integra...
Question 17: Concerning a standard normal distribution and a Student's t ...
Question 18: Let E(X ) = 1, E(Y ) = 3, Corr(X, Y ) = -0.2, E(X2 ) = 10 an...
Question 19: Simple linear regression involves one dependent variable, on...
Question 20: Stress testing portfolios requires changing the asset volati...
Question 21: Which of the following statements about skewness of an empir...
Question 22: The bisection method can be used for solving f(x)=0 for a un...
Question 23: When the errors in a linear regression show signs of positiv...
Question 24: Which of the following can induce a 'multicollinearity' prob...
Question 25: What is the probability of tossing a coin and getting exactl...
Question 26: What is the simplest form of this expression: log2(165/2)...
Question 27: Kurtosis(X) is defined as the fourth centred moment of X, di...
Question 28: What is the total derivative of the function f(x,y) = ln(x+y...
Question 29: Which of the following statements is not correct?...
Question 30: What is the angle between the following two three dimensiona...
Question 31: Let N(.) denote the cumulative distribution function and sup...
Question 32: Let f(x) = c for x in [0,4] and 0 for other values of x. Wha...
Question 33: Newton-Raphson iteration is used to find a solution of x5 - ...
Question 34: You want to test the hypothesis that a population parameter ...
Question 35: If A and B are two events with P(A) = 1/4, P(B) = 1/3 and P(...
Question 36: Which of the following is consistent with the definition of ...
Question 37: A biased coin has a probability of getting heads equal to 0....
Question 38: I have $5m to invest in two stocks: 75% of my capital is inv...
Question 39: Kurtosis(X) is defined as the fourth centred moment of X, di...
Question 40: A bond has modified duration 6 and convexity 30. Find the du...
Question 41: A 95% confidence interval for a parameter estimate can be in...
Question 42: An underlying asset price is at 100, its annual volatility i...
Question 43: If a random variable X has a normal distribution with mean z...
Question 44: An indefinite integral of a polynomial function is...
Question 45: You are given the following regressions of the first differe...
Question 46: You are given the following values of a quadratic function f...
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