Option Strategies
Bull Put Ladder
Introduction
Bull put ladder, also known as short put ladder, is a combination of a bull put spread and short put with a lower strike price than the 2 legs of the put spread. All puts have the same underlying Equity and expiration date. This strategy profits from increasing volatility of the underlying asset. For instance, the underlying price moves away from its current price.
Implementation
Follow these steps to implement the bull put ladder strategy:
- In the
initialize
method, set the start date, end date, cash, and Option universe. - In the
on_data
method, select the expiration and strikes of the contracts in the strategy legs. - In the
on_data
method, select the contracts and place the orders.
def initialize(self) -> None: self.set_start_date(2017, 4, 1) self.set_end_date(2017, 4, 22) self.set_cash(1000000) self.universe_settings.asynchronous = True option = self.add_option("GOOG", Resolution.MINUTE) self._symbol = option.symbol option.set_filter(lambda universe: universe.include_weeklys().put_ladder(30, 5, 0, -5))
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 the put Option contracts with the furthest expiry expiry = max([x.expiry for x in chain]) puts = [i for i in chain if i.expiry == expiry and i.right == OptionRight.PUT] if not puts: return # Select the strike prices from the remaining contracts strikes = sorted(set(x.strike for x in puts)) if len(strikes) < 3: return low_strike = strikes[0] middle_strike = strikes[1] high_strike = strikes[2]
Approach A: Put the OptionStrategies.bull_put_ladder
method with the details of each leg and then pass the result to the buy
method.
option_strategy = OptionStrategies.bull_put_ladder(self._symbol, high_strike, middle_strike, low_strike, expiry) self.buy(option_strategy, 1)
Approach B: Create a list of Leg
objects and then put the combo_market_order, combo_limit_order, or combo_leg_limit_order method.
low_strike_put = next(filter(lambda x: x.strike == low_strike, puts)) middle_strike_put = next(filter(lambda x: x.strike == middle_strike, puts)) high_strike_put = next(filter(lambda x: x.strike == high_strike, puts)) legs = [ Leg.create(low_strike_put.symbol, 1), Leg.create(middle_strike_put.symbol, 1), Leg.create(high_strike_put.symbol, -1) ] self.combo_market_order(legs, 1)
Strategy Payoff
The bull put spread is an limited-risk strategy. The payoff is
PlowT=(Klow−ST)+PmidT=(Kmid−ST)+PhighT=(Khigh−ST)+PayoffT=(PlowT−Plow0+PmidT−Pmid0+Phigh0−PhighT)×m−fee wherePlowT=Lower-strike put value at time TPmidT=Middle-strike put value at time TPhighT=Higher-strike put value at time TST=Underlying asset price at time TKlow=Lower-strike put strike priceKmid=Middle-strike put strike priceKhigh=Higher-strike put strike pricePlow0=Lower-strike put value at position opening (credit received)Pmid0=Middle-strikeTM put value at position opening (debit paid)Phigh0=Higher-strike put value at position opening (debit paid)m=Contract multiplierT=Time of expirationThe following chart shows the payoff at expiration:

The maximum profit is Kmid+Klow−Khigh−Plow0−Pmid0+Phigh0, which occurs when the underlying price decreases to $0.
The maximum loss is Kmid−Khigh−Plow0−Pmid0+Phigh0, which occurs when the underlying price is between the two lower strike prices.
If the Option is American Option, there is a risk of early assignment on the contract you sell.
Example
The following table shows the price details of the assets in the algorithm:
Asset | Price ($) | Strike ($) |
---|---|---|
Lower-Strike put | 6.00 | 822.50 |
Middle-strike put | 4.70 | 825.00 |
Higher-strike put | 5.60 | 827.50 |
Underlying Equity at expiration | 843.25 | - |
Therefore, the payoff is
PlowT=(Klow−ST)+=(822.50−843.25)+=0PmidT=(Kmid−ST)+=(825.00−843.25)+=0PhighT=(Khigh−ST)+=(827.50−843.25)+=0PayoffT=(PlowT−Plow0+PmidT−Pmid0+Phigh0−PhighT)×m−fee=(0−6.00+0−4.70+5.60−0)×100−1.00×3=−513So, the strategy loses $513.
The following algorithm implements a bull put ladder Option strategy:
class BullPutLadderOptionStrategy(QCAlgorithm): def initialize(self) -> None: self.set_start_date(2017, 4, 1) self.set_end_date(2017, 4, 23) self.set_cash(100000) option = self.add_option("GOOG", Resolution.MINUTE) self._symbol = option.symbol # set our strike/expiry filter for this option chain option.set_filter(lambda universe: universe.include_weeklys().put_ladder(30, 5, 0, -5)) 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 the call Option contracts with the furthest expiry expiry = max([x.expiry for x in chain]) puts = [i for i in chain if i.expiry == expiry and i.right == OptionRight.PUT] if not puts: return # Select the strike prices from the remaining contracts strikes = sorted(set(x.strike for x in puts)) if len(strikes) < 3: return low_strike = strikes[0] middle_strike = strikes[1] high_strike = strikes[2] option_strategy = OptionStrategies.bull_put_ladder(self._symbol, high_strike, middle_strike, low_strike, expiry) self.buy(option_strategy, 1)