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assignmentutor-lab™ 为您的留学生涯保驾护航 在代写金融衍生品Financial derivatives方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写金融衍生品Financial derivatives代写方面经验极为丰富，各种代写金融衍生品Financial derivatives相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 数学代写|金融衍生品代写Financial derivatives代考|Bond Features and Types

Bond is a long term debt security. It has a face or par value (also called the principal amount) which is the payment promised by the bond issuer. Bonds may be classified according to the coupon payments:
coupon bearing bond making periodic payments known as coupons over the lifetime of the bond, plus the repayment of the face value (usually at maturity). Typically, the coupon payment frequency is every 6 months or every year. The fixed rate bond pays coupons with a fixed rate. It is the most common bond type. The floating rate note (FRN) pays coupons linked to a reference rate, e.g., $6 \mathrm{M}$ USD Libor $+$ spread.
zero coupon bond which does not pay any coupon and only pays the bondholder the face value at maturity. Its sensitivity to interest rate is higher than a coupon bearing bond of the same maturity. Zero coupon bonds can be stripped from a coupon-bearing bond.

Bonds can also be classified according to other criteria such as the type of issuer, special features:

Issuer: Treasury bonds (Govies) – issued by governments, often considered as credit risk free instruments; Corporate bonds – usually with higher yield than Treasury bonds; Municipal bonds – often give tax benefits to interest income; Foreign bonds – issued by foreign corporates, e.g.: samurai bonds (issued in Japan, denominated in JPY), dim-sum bonds (in Hong Kong. CNH), panda bonds (in China, CNY), masala bonds (outside of India, INR), and etc.;

Seniority: Senior bonds have higher priority than Subordinated bonds for repayment and claim on the asset in case of issuer’s liquidation;
Others: A convertible bond (CB) can be converted into a predetermined amount of the issuing company’s equity at the discretion of the bondholder; Inflation index bond has its coupons and principal indexed on an inflation index, $e_{.} g_{.}$, treasury inflation protected securities (TIPS).
Some bonds embed the callable feature giving the issuer the right to buy back the bond at a predefined price on the “call dates”, or the puttable feature which allows the bondholder the right to sell back the bond at a predefined price on the “put dates”.

## 数学代写|金融衍生品代写Financial derivatives代考|Bond Quotation and Yield to Maturity

The bond price is the sum of present values of all the expected future cash flows. ${ }^3$ In the market, bonds are quoted in either of the units below:

Dirty price (also called full price or invoice price), which is commonly used in the European bond markets, is the price that the buyer will pay to the seller. For a fixed coupon bond, it is simply
$$\text { Bond Dirty Price }=\sum_{i=1}^n C F_i \times P\left(t_i\right),$$
where $C F_i$ is the future cash flow of the bond payable at time $t_i, i=1, \ldots, n$; Clean price, which is mostly used in the US bond markets and is defined as
Clean Price $=$ Dirty Price $-$ Accrued Coupon.

The accrued coupon is the interest that has been earned but not yet paid. The coupon calculation method is described in the bond prospectus which usually follows the money market convention.
We note that
(1) Transaction settlement is always done at dirty price;
(2) Clean price is more stable over time than dirty price which changes its value due to the accrued coupon, in addition to any economic reasons.

Yield to maturity (also called $I R R$, the Internal Rate of Return) of a fixed coupon bond is the unique yield $y$ which satisfies the following relationship:
Bond Full Price $=\sum_{i=1}^n \frac{C F_i}{(1+y / q)^{t_i}}$,
where
$q$ : number of coupon payments per year, e.g. 2 for half-yearly coupon payments;
$t_i$ : the number of periods from settlement date to the $i$-th coupon payment date. For instance, with ACT/ACT convention, $t_1=\tau / m_1$ and $t_i=i-1+\tau / m_1$ for $i>1$ where $\tau$ is the number of calendar days from the settlement date to the 1 st future coupon payment date and $m_1$ is the total number of days from the previous coupon payment (or the bond settlement date at issuance) date to the 1st coupon payment date.

If a bond pays a constant yearly fixed coupon rate $C$ with final redemption at par, the yield to maturity satisfies
Bond Full Price $=\sum_{i=1}^{n-1} \frac{C}{(1+y)^{t_i}}+\frac{1+C}{(1+y)^{t_n}}$,
where $n$ is the number of coupon payments.

# 金融衍生品代写

## 数学代写|金融衍生品代写金融衍生品代考|债券报价和到期收益率

. 债券价格是所有预期未来现金流的现值之和。${ }^3$在市场上，债券以以下单位报价:

$$\text { Bond Dirty Price }=\sum_{i=1}^n C F_i \times P\left(t_i\right),$$
，其中$C F_i$是债券在$t_i, i=1, \ldots, n$时点的未来现金流;清洁价格，主要用于美国债券市场，定义为

(1)交易结算总是在肮脏价格下完成的;
(2)干净价格比肮脏价格在一段时间内更稳定，肮脏价格由于应计息而改变其价值，除了任何经济原因

$q$:每年支付息票的次数，例如，半年支付息票的次数为2;
$t_i$:从结算日到$i$ -第th息票支付日的周期数。例如，对于ACT/ACT约定，$t_1=\tau / m_1$和$t_i=i-1+\tau / m_1$表示$i>1$，其中$\tau$是从结算日到未来第一个券息支付日的日历天数，$m_1$是从上一个券息支付日(或债券发行时的结算日)到第一个券息支付日的总天数。

，其中$n$是票面支付的次数

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## 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。

assignmentutor™您的专属作业导师
assignmentutor™您的专属作业导师