Derivatives Fundamentals

Derivatives Fundamentals

金融衍生品(Derivatives)是一类金融工具,其价值基于一种或多种基础资产、指数或利率的价格变动。衍生品可以用于对冲风险、投机获利或提高投资组合的灵活性。以下是几种常见的金融衍生品:

期货(Futures)

  • 定义:期货合约是双方同意在未来特定日期以预定价格买卖某种资产的标准化合约。
  • 特点:标准化、在交易所交易、有结算机制。
  • 应用:广泛用于商品、股指和利率的对冲和投机。
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期权(Options)

  • 定义:期权合约赋予持有人在特定时间内以预定价格买卖基础资产的权利,但不是义务。
  • 种类:看涨期权(Call Option)和看跌期权(Put Option)。
  • 应用:用于对冲、投机和策略性投资,如保护性看跌期权和覆盖性看涨期权。
An option contract gives one party the right, but not obligation, to buy or sell an underlying asset at a specific price by or at a specific date.
If the party that has the right to buy or sell chooses to exercise their option, the counterparty to the contract must deliver. The two basic options include:
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Components of an Option Contract
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买入看涨期权(Long Call Option):
• 例子:假设投资者买入一份看涨期权,行权价为50元,期权费为5元。如果标的资产价格在到期时涨至60元,投资者行权,以50元买入并以60元卖出,获得10元的利润,扣除期权费后的净利润为5元。如果标的资产价格在到期时低于50元,投资者选择不行权,最大损失为期权费5元。
买入看跌期权(Long Put Option):
• 例子:假设投资者买入一份看跌期权,行权价为50元,期权费为5元。如果标的资产价格在到期时跌至40元,投资者行权,以50元卖出并以40元买入,获得10元的利润,扣除期权费后的净利润为5元。如果标的资产价格在到期时高于50元,投资者选择不行权,最大损失为期权费5元。
 

掉期(Swaps)

  • 定义:掉期合约是双方同意在未来交换不同现金流的金融协议。
  • 主要类型
    • 利率掉期(Interest Rate Swap):交换固定利率和浮动利率的现金流。
      • 例子:
      • 公司A同意每年按5%的固定利率支付现金流给公司B。
      • 公司B同意每年按Libor + 1%的浮动利率支付现金流给公司A。
    • 货币掉期(Currency Swap):交换不同货币的现金流。
      • 例子:
      • 公司A同意支付公司B以美元计价的利息和本金。
      • 公司B同意支付公司A以欧元计价的利息和本金。
      • 这种交换通常用于对冲汇率风险。例如,公司A可能有以美元计价的债务,但其收入主要以欧元计价。通过货币交换,公司A可以将其美元债务转换为欧元债务,从而减少汇率波动对其财务状况的影响。
    • 商品掉期(Commodity Swap):交换基于商品价格的现金流。
  • 应用
    • 对冲风险: 交换可以帮助公司管理利率风险、汇率风险或其他市场风险。
    • 获取更好的融资条件: 通过交换,公司可以获得比直接融资更有利的利率或汇率。
    • 投机: 某些机构可能通过交换进行投机,以期望从市场价格变动中获利。
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远期合约(Forwards)

  • 定义:远期合约是类似于期货但未在交易所交易的非标准化合约。
  • 特点:场外交易(OTC),灵活性高,但流动性较低。
  • 应用:用于对冲和投机,特别是在外汇和商品市场。
Forwards are over the counter contracts. Although they can be used for speculating, the customizability makes forwards very useful for hedging.
For example, industries that heavily rely on a commodity such as an airline on jet fuel, can hedge the price of fuel using forwards to reduce volatile prices.
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  1. 信用衍生品(Credit Derivatives)
      • 定义:基于信用风险的衍生品,最常见的是信用违约互换(CDS)。
      • 信用违约互换(CDS):买方支付定期费用,卖方在信用事件发生时进行赔付。
      • 应用:用于管理和对冲信用风险。
 

Derivative contracts will generally include these important components:

1.An Underlying Asset
A derivative contract will deriveits value based on the dynamic value of anunderlying asset. A few common underlying assets are:
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2.Counterparties with Long / Short Positions
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3.An Expiration or Maturity Date
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Uses of Derivatives Contracts 

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Linear vs. Non-Linear Derivatives

Linear Derivatives
Definition: Linear derivatives are financial instruments whose payoff functions are directly proportional to the underlying asset's price movements. This means that their value changes linearly with changes in the underlying asset.
Common Types:
  1. Futures Contracts:
      • Description: Standardized contracts to buy or sell an asset at a future date for a predetermined price.
      • Example: S&P 500 futures, commodity futures.
  1. Forward Contracts:
      • Description: Customized contracts to buy or sell an asset at a future date for a specified price.
      • Example: Currency forwards, forward rate agreements (FRAs).
  1. Swaps:
      • Description: Agreements to exchange cash flows between two parties at specified intervals.
      • Example: Interest rate swaps, currency swaps.
Characteristics:
  • Proportional Payoff: The payoff is directly proportional to the changes in the underlying asset's price.
  • Linear Relationship: The relationship between the underlying asset and the derivative is linear.
  • Simpler Valuation: Valuation models are generally simpler compared to non-linear derivatives.
Applications:
  • Hedging: Commonly used for hedging price risk in commodities, currencies, and interest rates.
  • Speculation: Used to speculate on the future direction of asset prices.
  • Arbitrage: Exploiting price discrepancies between markets.
Non-Linear Derivatives
Definition: Non-linear derivatives are financial instruments whose payoff functions are not directly proportional to the underlying asset's price movements. Their value changes in a non-linear fashion with changes in the underlying asset.
Common Types:
  1. Options:
      • Description: Contracts giving the holder the right, but not the obligation, to buy (call option) or sell (put option) an asset at a predetermined price within a specified time period.
      • Example: Stock options, index options.
  1. Exotic Options:
      • Description: Options with more complex features than standard options.
      • Example: Barrier options, Asian options, digital options.
  1. Convertible Bonds:
      • Description: Bonds that can be converted into a predetermined number of the issuer's equity shares.
      • Example: Corporate convertible bonds.
Characteristics:
  • Non-Proportional Payoff: The payoff is not directly proportional to changes in the underlying asset's price.
  • Complex Relationship: The relationship between the underlying asset and the derivative is complex and non-linear.
  • Complex Valuation: Valuation models are more complex and often require advanced mathematical techniques (e.g., Black-Scholes model for options).
Applications:
  • Hedging: Used to hedge more complex risks and tailor specific risk profiles.
  • Speculation: Provides opportunities to speculate on volatility, price movements, and other market conditions.
  • Yield Enhancement: Can be used to enhance yields through structured products that combine various derivatives.
Aspect
Linear Derivatives
Non-Linear Derivatives
Payoff Function
Directly proportional to the underlying asset
Not directly proportional, often more complex
Valuation
Relatively simpler, often based on linear models
More complex, often requiring advanced mathematical models
Risk Management
Primarily used for hedging linear risks
Used for hedging complex and non-linear risks
Examples
Futures, forwards, swaps
Options, exotic options, convertible bonds
Relationship
Linear relationship with underlying asset
Non-linear relationship with underlying asset