Option Strategies
Protective Collar
Introduction
A Protective Collar is an Options strategy that consists of a covered call and a long put (protective put) with a lower strike price than the short call contract. In contrast to the covered call, the protective put component limits the drawdown of the strategy when the underlying price decreases too much.
Implementation
Follow these steps to implement the protective collar strategy:
- In the
Initialize
initialize
method, set the start date, set the end date, subscribe to the underlying Equity, and create an Option universe. - In the
OnData
on_data
method, select the Option contracts. - In the
OnData
on_data
method, select the contracts and place the orders.
private Symbol _symbol; public override void Initialize() { SetStartDate(2017, 4, 1); SetEndDate(2017, 4, 30); SetCash(100000); UniverseSettings.Asynchronous = true; var option = AddOption("GOOG", Resolution.Minute); _symbol = option.Symbol; option.SetFilter(universe => universe.IncludeWeeklys().ProtectiveCollar(30, -1, -10)); }
def initialize(self) -> None: self.set_start_date(2017, 4, 1) self.set_end_date(2017, 4, 30) self.set_cash(100000) self.universe_settings.asynchronous = True option = self.add_option("GOOG", Resolution.MINUTE) self._symbol = option.symbol option.set_filter(lambda universe: universe.include_weeklys().protective_collar(30, -1, -10))
The ProtectiveCollar
protective_collar
filter narrows the universe down to just the two contracts you need to form a protective collar.
public override void OnData(Slice slice) { if (Portfolio.Invested) return; // Get the OptionChain if (!slice.OptionChains.TryGetValue(_symbol, out var chain)) return; // Select an expiry date var expiry = chain.Max(x => x.Expiry); // Select the call and put contracts that expire on the selected date var calls = chain.Where(x => x.Expiry == expiry && x.Right == OptionRight.Call); var puts = chain.Where(x => x.Expiry == expiry && x.Right == OptionRight.Put); if (calls.Count() == 0 || puts.Count() == 0) return; // Select the OTM contracts var call = calls.OrderBy(x => x.Strike).Last(); var put = puts.OrderBy(x => x.Strike).First();
def on_data(self, slice: Slice) -> None: if self.portfolio.invested: return # Get the OptionChain chain = slice.option_chains.get(self._symbol, None) if not chain: return # Select an expiry date expiry = max([x.expiry for x in chain]) # Select the call and put contracts that expire on the selected date calls = [x for x in chain if x.right == OptionRight.CALL and x.expiry == expiry] puts = [x for x in chain if x.right == OptionRight.PUT and x.expiry == expiry] if not calls or not puts: return # Select the OTM contracts call = sorted(calls, key = lambda x: x.strike)[-1] put = sorted(puts, key = lambda x: x.strike)[0]
Approach A: Call the OptionStrategies.ProtectiveCollar
OptionStrategies.protective_collar
method with the details of each leg and then pass the result to the Buy
buy
method.
var protectiveCollar = OptionStrategies.ProtectiveCollar(_symbol, call.Strike, put.Strike, expiry); Buy(protectiveCollar, 1);
protective_collar = OptionStrategies.protective_collar(self._symbol, call.strike, put.strike, expiry) self.buy(protective_collar, 1)
Approach B: Create a list of Leg
objects and then call the Combo Market Ordercombo_market_order, Combo Limit Ordercombo_limit_order, or Combo Leg Limit Ordercombo_leg_limit_order method.
var legs = new List<Leg>() { Leg.Create(call.Symbol, -1), Leg.Create(put.Symbol, 1), Leg.Create(chain.Underlying.Symbol, chain.Underlying.SymbolProperties.ContractMultiplier) }; ComboMarketOrder(legs, 1);
legs = [ Leg.create(call.symbol, -1), Leg.create(put.symbol, 1), Leg.create(chain.underlying.symbol, chain.underlying.symbol_properties.contract_multiplier) ] self.combo_market_order(legs, 1)
Strategy Payoff
This is a limited-profit-limited-loss strategy. The payoff is
$$ \begin{array}{rcll} C_T & = & (S_T - K^{C})^{+}\\ P_T & = & (K^{P} - S_T)^{+}\\ Payoff_T & = & (S_T - S_0 - C_T + P_T + C_0 - P_0)\times m - fee \end{array} $$ $$ \begin{array}{rcll} \textrm{where} & C_T & = & \textrm{Call value at time T}\\ & P_T & = & \textrm{Put value at time T}\\ & S_T & = & \textrm{Underlying asset price at time T}\\ & K^{C} & = & \textrm{Call strike price}\\ & K^{P} & = & \textrm{Put strike price}\\ & Payoff_T & = & \textrm{Payout total at time T}\\ & S_0 & = & \textrm{Underlying asset price when the trade opened}\\ & C_0 & = & \textrm{Call price when the trade opened (credit received)}\\ & P_0 & = & \textrm{Put price when the trade opened (debit paid)}\\ & m & = & \textrm{Contract multiplier}\\ & T & = & \textrm{Time of expiration} \end{array} $$The following chart shows the payoff at expiration:

The maximum profit is $K^{C} - S_T + C_0 - P_0$. It occurs when the underlying price is at or above the strike price of the call at expiration.
The maximum profit is $S_T - K^{P} + C_0 - P_0$. It occurs when the underlying price is at or below the strike price of the put at expiration.
If the Option is American Option, there is a risk of early assignment on the contract you sell.
Example
The following table shows the price details of the assets in the algorithm:
Asset | Price ($) | Strike ($) |
---|---|---|
Call | 2.85 | 845.00 |
Put | 6.00 | 822.50 |
Underlying Equity at position opens | 833.17 | - |
Underlying Equity at expiration | 843.25 | - |
Therefore, the payoff is
$$ \begin{array}{rcll} C_T & = & (S_T - K^{C})^{+}\\ & = & (843.365 - 845.00)^{+}\\ & = & 0\\ P_T & = & (K^{P} - S_T)^{+}\\ & = & (822.50 - 843.365)^{+}\\ & = & 0\\ Payoff_T & = & (S_T - S_0 - C_T + P_T + C_0 - P_0)\times m - fee\\ & = & (843.25 - 833.17 - 0 + 0 + 2.85 - 6.00)\times100-1.00\times3\\ & = & 690\\ \end{array} $$So, the strategy gains $690.
The following algorithm implements a protective collar Option strategy:
public class ProtectiveCollarStrategy : QCAlgorithm { private Symbol _equity; private Symbol _symbol; public override void Initialize() { SetStartDate(2017, 4, 1); SetEndDate(2017, 4, 23); SetCash(100000); _equity = AddEquity("GOOG", Resolution.Minute).Symbol; var option = AddOption("GOOG", Resolution.Minute); _symbol = option.Symbol; option.SetFilter(universe => universe.IncludeWeeklys().ProtectiveCollar(30, -1, -10)); } public override void OnData(Slice slice) { if (Portfolio.Invested) return; // Get the OptionChain of the symbol var chain = slice.OptionChains.get(_symbol, null); if (chain == null || chain.Count() == 0) return; // sort the optionchain by expiration date and choose the furthest date var expiry = chain.OrderBy(x => x.Expiry).Last().Expiry; // filter the call and put options from the contracts expires on that date var calls = chain.Where(x => x.Expiry == expiry && x.Right == OptionRight.Call); var puts = chain.Where(x => x.Expiry == expiry && x.Right == OptionRight.Put); if (calls.Count() == 0 || puts.Count() == 0) return; // select the strike prices var callStrike = calls.OrderBy(x => x.Strike).Last().Strike; var putStrike = puts.OrderBy(x => x.Strike).First().Strike; var protectiveCollar = OptionStrategies.ProtectiveCollar(_symbol, callStrike, putStrike, expiry); Buy(protectiveCollar, 1); } public override void OnEndOfDay(Symbol symbol) { if (symbol.Value == "GOOG") { Log($"{Time}::{symbol}::{Securities[symbol].Price}"); } } }
class ProtectiveCollarOptionStrategy(QCAlgorithm): def initialize(self) -> None: self.set_start_date(2017, 4, 1) self.set_end_date(2017, 4, 23) self.set_cash(100000) equity = self.add_equity("GOOG", Resolution.MINUTE) option = self.add_option("GOOG", Resolution.MINUTE) self.symbol = option.symbol option.set_filter(lambda universe: universe.include_weeklys().protective_collar(30, -1, -10)) def on_data(self, data: Slice) -> None: # avoid extra orders if self.portfolio.invested: return # Get the OptionChain of the self.symbol chain = data.option_chains.get(self.symbol, None) if not chain: return # choose the furthest expiration date within 30 days from now on expiry = sorted(chain, key = lambda x: x.expiry)[-1].expiry # filter the call options contracts call = [x for x in chain if x.right == OptionRight.CALL and x.expiry == expiry] # filter the put options contracts put = [x for x in chain if x.right == OptionRight.PUT and x.expiry == expiry] if not call or not put: return # select the strike prices of call and put contracts call_strike = sorted(call, key = lambda x: x.strike)[-1].strike put_strike = sorted(put, key = lambda x: x.strike)[0].strike protective_collar = OptionStrategies.protective_collar(self.symbol, call_strike, put_strike, expiry) self.buy(protective_collar, 1) def on_end_of_day(self, symbol): if symbol.value == "GOOG": self.log(f"{self.time}::{symbol}::{self.securities[symbol].price}")