It takes the average reader and 33 minutes to read A New Framework to Estimate the Risk-Neutral Probability Density Functions Embedded in Options Prices by Mr.Kevin C. Cheng
Assuming a reading speed of 250 words per minute. Learn more
Building on the widely-used double-lognormal approach by Bahra (1997), this paper presents a multi-lognormal approach with restrictions to extract risk-neutral probability density functions (RNPs) for various asset classes. The contributions are twofold: first, on the technical side, the paper proposes useful transformation/restrictions to Bahra’s original formulation for achieving economically sensible outcomes. In addition, the paper compares the statistical properties of the estimated RNPs among major asset classes, including commodities, the S&P 500, the dollar/euro exchange rate, and the US 10-year Treasury Note. Finally, a Monte Carlo study suggests that the multi-lognormal approach outperforms the double-lognormal approach.
A New Framework to Estimate the Risk-Neutral Probability Density Functions Embedded in Options Prices by Mr.Kevin C. Cheng is 33 pages long, and a total of 8,349 words.
This makes it 11% the length of the average book. It also has 10% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes and 45 minutes to read A New Framework to Estimate the Risk-Neutral Probability Density Functions Embedded in Options Prices aloud.
A New Framework to Estimate the Risk-Neutral Probability Density Functions Embedded in Options Prices is suitable for students ages 8 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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