期权市场机制--潘登同学的期权、期货及其他衍生品学习笔记
期权
- 期权 Option
- 给持有者某种权利执行,但期权持有者不一定必须行使权利 Gives the holder a certain right to exercise, but the option holder does not necessarily have to exercise the right
- 交易者需要支付费用 Traders need to pay fees
- 远期和期货合约 Forward & Futures Contracts
- 双方均有义务执行条约 Both parties are obliged to enforce the treaty
- 持有者不需要付费 Holders do not need to pay
期权类型 Types of Options
- 看涨期权 Call Option
- 赋予持有者未来以一定价格购买某种资产的权利 Gives the holder the right to purchase a certain asset at a certain price in the future
- 看跌期权 Put Option
- 赋予持有者未来以一定价格卖出某种资产的权利 Gives the holder the right to sell a certain asset at a certain price in the future
- 欧式期权 European Option
- 只能在到期日行使 Can only be exercised on the maturity date
- 应用少,相对易分析 Few applications, relatively easy to analyze
- 美式期权 American Option
- 可在到期日之前任何时刻行使 Can be exercised at any time before the maturity date
- 应用多,相对复杂,很多性质由欧式期权推衍 Many applications, relatively complex, many properties derived from European options
看涨期权多头 Long Position in Call Option
买入一份欧式看涨期权 Buying an European call option
- 期权价格: \$5 Option Price: \$5
- 执行价格: \$100 Strike Price: \$100
- 期权到期日: 4个月 Expiry date: 4 months
看涨期权空头 Short Position in Call Option
卖出一份欧式看涨期权 Selling an European call option
- 期权价格: \$5 Option Price: \$5
- 执行价格: \$100 Strike Price: \$100
- 期权到期日:4个月 Expiry date: 4 months
看跌期权多头 Long Position in Put Option
买入一份欧式看跌期权 Buying an European put option
- 期权价格: \$7 Option Price: \$7
- 执行价格: \$70 Strike Price: \$70
- 期权到期日: 2个月 Expiry date: 2 months
看跌期权空头 Short Position in Put Option
卖出一份欧式看跌期权 Selling an European put option
- 期权价格: \$7 Option Price: \$7
- 执行价格: \$70 Strike Price: \$70
- 期权到期日: 2个月 Expiry date: 2 months
标的资产 Underlying Assets
- 股票/Stock Options
- 货币/Foreign Currency Options
- 股票指数/Index Options
- 期货/Future Options
- ETP (Exchange-Traded Products)
- ETF (Exchange-Traded Funds)
- 其他 ETP
期权到期日与执行价格
到期日 Expiry date
- 1月循环期: 1, 4, 7, 10月; 2月循环期: 2, 5, 8, 11月; 3月循环期: 3, 6, 9, 12月 January cycle: January, April, July, October; February cycle: February, May, August, November; March cycle: March, June, September, December
- 可交易期权/Tradable options
- 到期日未到/Before the due date:t, t+1, (T+3 and T+6)
- 到期日已过/Expiry date passed:t+1, t+2, (T+3 and T+6)
Apple的股票期权在2月循环期,在2月初和2月末的可交易期权到期日是什么? Apple's stock options are in the February cycle, what are the tradable option expiration dates at the beginning of February and the end of February?
- 2月初 2月循环期未到,可交易期权到期日为2月、3月、5月、8月
- 2月末 2月循环期已过,可交易期权到期日为3月、4月、5月、8月
执行价格 Strike price
- 股票价格位于\$5 ~ \$25,行权价间隔\$2.5;
- 股票价格位于\$25 ~ \$200,行权价间隔\$5;
- 股票价格大于\$200,行权价间隔\$10;
实值期权与虚值期权
实值期权 In-The-Money Option (立即执行能获利)
- 对于看涨期权, 当$S>K$时为实值期权;
- 对于看跌期权, 当$S
平值期权 At-The-Money Option
- 对于看涨期权, 当$S=K$时为平值期权;
- 对于看跌期权, 当$S=K$时为平值期权;
虚值期权 Out-Of-The-Money Option
- 对于看涨期权, 当$S
- 对于看跌期权, 当$S>K$时为虚值期权;
内在价值/Intrinsic Value: 如果期权立即执行所具有的价值 The value an option would have if it were exercised immediately
- 看涨期权 $max(S-K,0)$
- 看跌期权 $max(K-S,0)$
期权的整体价值等于内含价值(Intrinsic Value)与时间价值(Time Value)之和
其他非标准产品 Other Non-standard Products
- 灵活期权 FLEX Option
- 具备一些非标准条款 with some non-standard clauses
- 其他非标准产品 Other non-standard products
- 单周期权 Weeklys
- 每周四发行,下周五到期 Published every Thursday, due next Friday
- 两值期权 Binary Option
- 当达到执行价格时,回报为固定数额 When the strike price is reached, the return is a fixed amount
- 信用事件两值期权 Credit Event Binary Option (CEBO)
- 出现信用事件时,支付收益 (CDS) Payment proceeds (CDS) in the event of a credit event
- 末日期权 DOOM Option
- 深度虚值看跌期权 deep-out-of-the-money put option
- 行使价格很低,价格非常便宜 (崩盘) The exercise price is very low, the price is very cheap (crash)
- 单周期权 Weeklys
交易 Trading
- 芝加哥期权交易所:95%由电子系统完成, 其余为数量巨大或结构复杂的机构间交易,由交易员完成 Chicago Board Options Exchange: 95% of the orders are handled electronically, and the remainder are mostly large or complex institutional orders completed by traders
- 做市商 Market Maker
- 同时报出买入价和卖出价(做市商买入和卖出的价格) Simultaneously quote bid and ask prices (prices at which market makers buy and sell)
- 保证了交易可以在某一价格上立即执行,从而增加市场流动性 Guarantees that transactions can be executed immediately at a certain price, thereby increases market liquidity
- 冲销指令 Offsetting order
- 购买期权的投资者通过发出出售相同期权的冲销指令结清头寸 An investor who buys an option closes out the position by issuing an offsetting order to sell the same option
- 承接期权的投资者通过发出购买相同期权的冲销指令结清头寸 The investor who took the option closes out the position by issuing an offsetting order to purchase the same option
佣金 Commissions
- 折扣经纪人 Discount Broker
- 固定费用 + 交易额的百分比
- 全面服务经纪人 Full Service Broker
- 当冲销头寸时,须支付佣金 When offsetting a position, a commission is payable
- 当期权行权时,须支付佣金 When an option is exercised, a commission is payable
- 投资者同时还需要承担买卖价差造成的成本 Investors also need to bear the cost caused by the bid-ask spread
- 投资者买卖股票仍需支付佣金
认股权证 、员工股票期权与可转换债券
- 认股权证/Warrants
- 由公司或金融机构发行的期权 Options issued by companies or financial institutions
- 认股权证数量由原始发行规模决定,仅在行使或到期时发生变化 The number of warrants is determined by the original issue size and changes only upon exercise or expiration
- 当认股权证被行使时,发行人与持有人结算 When a warrant is exercised, the issuer settles with the holder
- 当公司就自己的股票发行认购权证时,行使通常会导致发行新的库存股票 When a company issues warrants for its own stock, exercise usually results in the issuance of new treasury shares
- 员工股票期权 Employee Stock Options
- 公司发给其雇员的看涨期权 Call options issued by a company to its employees
- 发行时它们通常是平值 The options are usually at-the-money when issued
- 公司需要发行更多股票并以行使价将其出售给期权持有人 The company needs to issue more shares and sell them to option holders at the strike price
- 在利润表上通过费用支出 Listed as expenses on the income statement
- 可转换债券 Convertible Bond
- 由公司发行的一类债券,可以在未来一定时间按照预定的兑换比例兑换成股权 A type of bond issued by the company, which can be converted into equity according to a predetermined conversion ratio at a certain time in the future
- 通常是可赎回的 Usually callable
- 赎回条款 Redemption terms
- 发行人可以在持有人可能选择的时间之前强制转换的一种方式 A way in which the issuer can force conversion by a time the holder may choose
股息和股票分股 Dividends and stock splits
- 假设拥有对 N 股股票,行使价格为 K 的期权 Suppose you have an option on N shares with an exercise price of K
- 现金分红 Cash dividend(无论是declear还是真正分红)
- 期权条款未作任何调整 No adjustments to option terms
- 当有 n 对 m 股票分股时 (m 股分成 n 股)
When there are n-for-m stock splits (splitting m shares to n shares)
- 新行使价 New strike price: $K\frac{m}{n}$
- 新股票数量 Number of new shares : $N\frac{n}{m}$
- 股票股息的处理方式与股票分割相同 Stock dividends are treated the same as stock splits
考虑以每股 20 美元的价格购买 100 股的看涨期权 Consider buying a call option on 100 shares at \$20 per share
条款应该如何调整? How should the terms be adjusted?
- 2 对 1 股票分股 2-for-1 stock split
- 执行价格 Strike price:$20\frac{1}{2}=10$
- 对应股票数量 Shares number :$100\frac{2}{1}=200$
- 公司支付 5% 的股票股息 The company pays a 5% stock dividend
等同于 105 对 100 股票分股 Equivalent to a 105-for-100 stock split
- 执行价格 Strike price:$20\frac{100}{105}=19$
- 对应股票数量 Shares number:$100\frac{105}{100}=105$
保证金 Margin Requirements
卖出期权方需要提供保证金 Selling options need to provide margin
- 裸露期权 Naked Option
- 期权不与对冲该期权头寸风险的标的资产并存 The option does not exist concurrently with the underlying asset that hedges the risk of the option position
承约裸露看涨期权时,初始保证金和维持保证金是以下两者中的较大者 When contracting a naked call, the initial margin and maintenance margin is the greater of
- 卖出期权所得金额的 100% + 20% 的标的股票价格 - 期权的虚值 100% of the amount sold for the option + 20% of the underlying stock price – the option’s out-of-the-money
- 卖出期权所得金额的 100% + 10% 的标的股票价格 100% of the proceeds from selling options + 10% of the underlying stock price
承约裸露看跌期权时,初始保证金和维持保证金是以下两者中的较大者 When contracting a naked put option, the initial margin and maintenance margin is the greater of the following two
- 卖出期权所得金额的 100% + 20% 的标的股票价格 - 期权的虚值 100% of the amount sold for the option + 20% of the underlying stock price - the option's out-of-the-money
- 卖出期权所得金额的 100% + 10% 的执行价格 100% of the proceeds from selling the option + 10% of the strike price
一位投资者承接四份裸露看涨期权合约,期权价格为 5 美元,行使价为 40 美元,股票价格为 38 美元。计算最初保证金 An investor writes four naked call option contracts on a stock, the option price is \$5, the strike price is \$40, and the stock price is \$38. Calculate the initial margin $$ 第一种计算方法: 400(5+0.238-2)=4240 \ 第二种计算方法: 400(5+0.138)=3520 \ 保证金为: \max{4240,3520}=4240 $$ 假如该期权为看跌期权,计算最初保证金 If the option had been a put option, calculate the initial margin $$ 第一种计算方法: 400(5+0.238-0)=5040 \ 第二种计算方法: 400(5+0.140)=3600 \ 保证金为: \max{5040,3600}=5040 $$