Volatility Estimation via Jump Diffusion Model
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- Kanagawa Shuya
- Tokyo City University
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- NAMAKAWA Mitsuhiro
- Kaetsu University
Bibliographic Information
- Other Title
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- ジャンプ拡散過程を用いたボラティリティ推定
Abstract
<p>We investigate daily share prices of the Nikkei 225 stock index to identify jump times of the stock index using a jump-diffusion model which consists of the Black-Scholes model with a stochastic volatility and a compound Poisson process. Since the data of daily share prices of the Nikkei 225 stock index are observed at discrete times, it is difficult to find real jump-times from the data. In this paper we consider how to separate jump-times from the observed times and show that the volatility of the stock index is estimated by the historical volatility from the observation of some daily share prices.</p>
Journal
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- NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
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NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 65 (0), 83-, 2019
National Committee for IUTAM
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Details 詳細情報について
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- CRID
- 1390571106620151168
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- NII Article ID
- 130008101041
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed