PRMIA PRM Certification - Exam II: Mathematical Foundations of Risk Measurement 8002 Question # 34 Topic 4 Discussion

PRMIA PRM Certification - Exam II: Mathematical Foundations of Risk Measurement 8002 Question # 34 Topic 4 Discussion

8002 Exam Topic 4 Question 34 Discussion:
Question #: 34
Topic #: 4

An underlying asset price is at 100, its annual volatility is 25% and the risk free interest rate is 5%. A European call option has a strike of 85 and a maturity of 40 days. Its Black-Scholes price is 15.52. The options sensitivities are: delta = 0.98; gamma = 0.006 and vega = 1.55. What is the delta-gamma-vega approximation to the new option price when the underlying asset price changes to 105 and the volatility changes to 28%?


A.

17.33


B.

18.75


C.

19.23


D.

20.54


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