medium · Quantitative Finance numerical
In a market with a risk-free rate r=4%, a non-dividend-paying stock trades at S_0 = 50.
A 6-month European call struck at K=52 trades at 4.50. Using Newton's method to find implied volatility, if the current model price at σ = 0.30 is 4.038 with a vega of 13.62, what is the first updated volatility estimate σ_1?
- 0.3500
- 0.2661
- 0.3339
- 0.3150
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