On the asymptotic behavior of the prices of Asian options
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作者:
Hishida, Yuji
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机构:
Mizuho Secur Co Ltd, Fixed Income Trading Dept, Fixed Income Grp, Tokyo 1000004, JapanMizuho Secur Co Ltd, Fixed Income Trading Dept, Fixed Income Grp, Tokyo 1000004, Japan
Hishida, Yuji
[1
]
Yasutomi, Kenji
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机构:
Ritsumeikan Univ, Dept Math Sci, 1-1-1 Nojihigashi, Kusatsu, Shiga 5258577, JapanMizuho Secur Co Ltd, Fixed Income Trading Dept, Fixed Income Grp, Tokyo 1000004, Japan
Yasutomi, Kenji
[2
]
机构:
[1] Mizuho Secur Co Ltd, Fixed Income Trading Dept, Fixed Income Grp, Tokyo 1000004, Japan
[2] Ritsumeikan Univ, Dept Math Sci, 1-1-1 Nojihigashi, Kusatsu, Shiga 5258577, Japan
In this paper, we study the price of a long term Asian option the pay-off of which is determined by the average price of the underlying asset during the last fixed number of days of its life. As one can imagine, it converges to the price of a plain vanilla option as the time to maturity increases. We explicitly obtained the asymptotic difference which will be useful for computing the price of Asian option in practice.