8002 無料問題集「PRMIA PRM Certification - Exam II: Mathematical Foundations of Risk Measurement」

The Lagrangian of a constrained optimisation problem is given by L(x,y,) = 16x+8x2+4y-(4x+y-20), where is the Lagrange multiplier. What is the solution for x and y?

What is the probability of tossing a coin and getting exactly 2 heads out of 5 throws?

Which of the following is not a sequence?

When calculating the implied volatility from an option price we use the bisection method and know initially that the volatility is somewhere between 1% and 100%. How many iterations do we need in order to determine the implied volatility with accuracy of 0.1%?

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

Let N(.) denote the cumulative distribution function and suppose that X and Y are standard normally distributed and uncorrelated. Using the fact that N(1.96)=0.975, the probability that X
0 and Y 1.96 is approximately

A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Modified Duration of the bond?

Your stockbroker randomly recommends stocks to his clients from a tip sheet he is given each day. Today, his tip sheet has 3 common stocks and 5 preferred stocks from Asian companies and 3 common stocks and 5 preferred stocks from European companies. What is the probability that he will recommend a common stock AND/OR a European stock to you when you call and ask for one stock to buy today?

What is the 40th term in the following series: 4, 14, 30, 52, ...?

Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses...

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