pricing-options(schwartz97)
pricing-options()所属R语言包:schwartz97
Schwartz two-factor Model: European Option Prices
施瓦茨双因素模型:欧式期权价格
译者:生物统计家园网 机器人LoveR
描述----------Description----------
Compute arbitrage-free prices of European call and put options on commodity futures contracts.
计算的欧式看涨期权和认沽期权商品期货合约的无套利价格。
用法----------Usage----------
## S4 method for signature 'ANY,ANY,ANY,ANY,numeric'
priceoption(type = c("call", "put"), time = 0.5, Time = 1, K = 40,
g0 = 50, sigmaS = 0.3, kappa = 1, sigmaE = 0.5,
rho = 0.75, r = 0.03)
## S4 method for signature 'ANY,ANY,ANY,ANY,schwartz2f'
priceoption(type = c("call", "put"),
time = 0.5, Time = 1, K = 40,
g0, r = 0.03, lambda = 0, alphaT = NULL)
## S4 method for signature 'ANY,ANY,ANY,ANY,schwartz2f.fit'
priceoption(type = c("call", "put"),
time = 0.5, Time = 1, K = 40, g0)
参数----------Arguments----------
参数:type
Either a European "call" or a "put" option on a futures contract.
无论是欧洲的"call"或"put"选项的期货合约。
参数:time
Exercise time of the option.
锻炼时间的选项。
参数:Time
Maturity date of the underlying futures (see Details).
相关期货的到期日(见详情)。
参数:K
Strike price.
行使价。
参数:g0
The current futures price or an object inheriting from class schwartz2f.
目前的期货价格或对象继承类schwartz2f。
参数:sigmaS
Diffusion parameter of the spot price-process.
现货价格过程的扩散参数。
参数:kappa
Speed of mean-reversion of the convenience-yield process.
速度的均值回归的便利收益的过程。
参数:sigmaE
Diffusion parameter of the convenience-yield process.
扩散参数的便利收益的过程。
参数:rho
Correlation coefficient between the Brownian motion driving the spot-price and the convenience-yield process.
之间的相关系数的布朗运动驱动的现货价格和便利收益的过程。
参数:r
Instantaneous risk-free interest rate.
瞬时无风险利率。
参数:lambda
Market price of convenience yield risk (see Details).
便利收益风险的市场价格(见详情)。
参数:alphaT
Mean-level of the convenience yield process with respect to the equivalent martingale measure (see Details).
便利收益过程中的等价鞅测度的平均水平(见详情)。
Details
详细信息----------Details----------
The price of an option on the spot commodity is obtained by setting time == Time. This is because of the convergence of the futures price towards the spot price at maturity. In general the option expires before the futures contract (time < Time).<br>
选项现货商品的价格是通过设置time == Time。这是因为于到期日的期货价格对现货价格的收敛。在一般的期权到期之前的期货合约(time < Time“)。<BR>
If g0 is either of class schwartz2f or class schwartz2f.fit the futures price g0 is computed first and then plugged into the pricing function with signature ANY,ANY,ANY,ANY,numeric.<br>
g0如果是类schwartz2f或类schwartz2f.fit期货价格g0计算,然后再插入的定价功能的签名ANY,ANY,ANY,ANY,numeric。<BR >
The model and its parameters are described in the Details section of the schwartz2f-class documentation and in the package vignette Technical Document.
该模型及其参数的描述,在“详细信息”部分的schwartz2f级的文件和技术文件包中的小插曲。
值----------Value----------
A numeric containing the option prices.
Anumeric包含的期权价格。
注意----------Note----------
Since the two-factor model assumes a constant interest rate, futures and forwards always have the same value and therefore also any derivative of futures or forwards.
由于两因素模型假设固定利率,期货和远期合约,总是有相同的值,因此也衍生工具的期货或远期。
(作者)----------Author(s)----------
Philipp Erb, David Luethi, Juri Hinz
参考文献----------References----------
Valuation and Hedging by Eduardo S. Schwartz <br> Journal of Finance 52, 1997, 923-973 <br>
Structures of Convenience Yields and Interest Rates by Kristian R. Miltersen and Eduardo S. Schwartz <br> Journal of Financial and Quantitative Analysis 33, 1998, 33-59 <br>
Convenience Yields, Interest Rates, and Jump Diffusions in the Spot by Jimmy E. Hilliard and Jorge Reis <br> Journal of Financial and Quantitative Analysis 33, 1998, 61-86
参见----------See Also----------
pricefutures to price futures, d/p/q/rfutures to work with futures, schwartz2f-constructor, fit.schwartz2f for parameter estimation, futures-data.
pricefutures价格期货,d/p/q/rfutures与期货,schwartz2f构造,fit.schwartz2f参数估计,futures-data的。
实例----------Examples----------
## The option expires in 0.5 years and the futures contract in 1 year.[#购股权之有效期届满0.5年,在1年的期货合约。]
priceoption(type = "call", time = 0.5, Time = 1, K = 40, g0 = 50)
## The price of a European put option on the spot which expires in 2.5[#一个欧式看跌期权的价格当场到期的2.5]
## years.[#年。]
priceoption(type = "put", time = 2.5, Time = 2.5, K = 900, lambda = 0.02,
g0 = schwartz2f(s0 = 1000))
转载请注明:出自 生物统计家园网(http://www.biostatistic.net)。
注:
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