Posted on Categories:数学代写, 衍生品, 金融代写, 金融衍生品

# 金融代写|金融衍生品代写Financial Derivatives代考|FINA2204 Applications

avatest™

## avatest™帮您通过考试

avatest™的各个学科专家已帮了学生顺利通过达上千场考试。我们保证您快速准时完成各时长和类型的考试，包括in class、take home、online、proctor。写手整理各样的资源来或按照您学校的资料教您，创造模拟试题，提供所有的问题例子，以保证您在真实考试中取得的通过率是85%以上。如果您有即将到来的每周、季考、期中或期末考试，我们都能帮助您！

•最快12小时交付

•200+ 英语母语导师

•70分以下全额退款

## 金融代写|金融衍生品代写Financial Derivatives代考|Applications

Monte Carlo simulation tends to be numerically more efficient than other procedures when there are three or more stochastic variables. This is because the time taken to carry out a Monte Carlo simulation increases approximately linearly with the number of variables, whereas the time taken for most other procedures increases exponentially with the number of variables. One advantage of Monte Carlo simulation is that it can provide a standard error for the estimates that it makes. Another is that it is an approach that can accommodate complex payoffs and complex stochastic processes. It can also be used when the payoff depends on some function of the whole pathfollowed by a variable, not just its terminal value. As already noted, a limitation of the Monte Carlo simulation approach is that it is difficult to use it for non-European-style derivatives.

## 金融代写|金融衍生品代写Financial Derivatives代考|Calculating the Greek Letters

The Greek letters can be calculated using Monte Carlo simulation. Suppose that we are interested in the partial derivative of / with $x$, where / is the value of the derivative and $x$ is the value of an underlying variable or a parameter. First, Monte Carlo simulation is used in the usual way to calculate an estimate, $/$, for the value of the derivative. A small increase $S x$ is then made in the value of $x$, and a new value for the derivative, $/^$, is calculated in the same way as /. An estimate for the hedge parameter is given by $$\frac{\hat{\jmath}^-\hat{\jmath}}{S x}$$

In order to minimize the standard error of the estimate, the number of time intervals $N$, the random number streams, and the number of trials $M$ should be the same for calculating both / and /*.
Sampling through a Tree
Instead of implementing Monte Carlo simulation by randomly sampling from the stochastic process for an underlying variable, we can sample paths for the underlying variable using a binomial tree. Suppose we have a binomial tree where the probability of an “up” movement is 0.6. The procedure for sampling a random path through the tree is as follows. At each node, we sample a random number between zero and one. If the number is less than $0.4$, we take the down path. If it is greater than $0.4$, we take the up path. Once we have a complete path from the initial node to the end of the tree, we can calculate a payoff. This completes the first trial. A similar procedure is used to complete more trials. The mean of the payoffs is discounted at the risk-free rate to get an estimate of the value of the derivative.

## 金融代写|金融行生品代写Financial Derivatives代考|Calculating the Greek Letters

$$\frac{\hat{\jmath}^{-} \hat{\jmath}}{S x}$$

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。