PRMIA 8007 Questions & Answers - in .pdf
- Total Q&A: 133
- Update: May 31, 2026
- Price: $59.99
- Vendor: PRMIA
- Exam Code: 8007
- Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
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PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. 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
A) 5.03
B) 4.59
C) 4.54
D) 6.49
2. A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?
A) 1.125
B) 0.375
C) 0.3333
D) 0.75
3. The first derivative of a function f(x) is zero at some point, the second derivative is also zero at this point. This means that:
A) f might have either a minimum or a maximum or neither of them at this point
B) f has necessarily neither a minimum nor a maximum at this point
C) f has necessarily a minimum at this point
D) f has necessarily a maximum at this point
4. Identify the type and common element (that is, common ratio or common difference) of the following sequence: 6, 12, 24
A) arithmetic sequence, common ratio 2
B) geometric sequence, common ratio 3
C) arithmetic sequence, common difference 2
D) geometric sequence, common ratio 2
5. An asset price S is lognormally distributed if:
A) ln(dS/S) is normally distributed
B) the change in price (dS) is normally distributed
C) 1/S is normally distributed
D) ln(1+dS/S) is normally distributed
Solutions:
Question # 1
Answer: C | Question # 2
Answer: B | Question # 3
Answer: A | Question # 4
Answer: D | Question # 5
Answer: D |
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