Option Strategies

Follow these steps to implement the naked put strategy:

1. In the Initializeinitialize method, set the start date, end date, starting cash, and Options universe.

private Symbol _symbol;

public override void Initialize()
{
    SetStartDate(2014, 1, 1);
    SetEndDate(2014, 3, 1);
    SetCash(100000);

    UniverseSettings.Asynchronous = true;
    var option = AddOption("IBM");
    _symbol = option.Symbol;
    option.SetFilter(universe => universe.IncludeWeeklys().NakedPut(30, 0));
}

def initialize(self) -> None:
    self.set_start_date(2014, 1, 1)
    self.set_end_date(2014, 3, 1)
    self.set_cash(100000)

    self.universe_settings.asynchronous = True
    option = self.add_option("IBM")
    self._symbol = option.symbol
    option.set_filter(lambda universe: universe.include_weeklys().naked_put(30, 0))

The NakedPutnaked_put filter narrows the universe down to just the one contract you need to form a naked put.

2. In the OnDataon_data method, select the Option contract.

public override void OnData(Slice slice)
{
    if (Portfolio.Invested ||
        !slice.OptionChains.TryGetValue(_symbol, out var chain)) return;

    // Find ATM put with the farthest expiry
    var expiry = chain.Max(x => x.Expiry);
    var atmPut = chain
        .Where(x => x.Right == OptionRight.Put && x.Expiry == expiry)
        .OrderBy(x => Math.Abs(x.Strike - chain.Underlying.Price))
        .FirstOrDefault();

def on_data(self, slice: Slice) -> None:
    if self.portfolio.invested:
        return

    chain = slice.option_chains.get(self._symbol)
    if not chain:
        return

    # Find ATM put with the farthest expiry
    expiry = max([x.expiry for x in chain])
    put_contracts = sorted([x for x in chain
        if x.right == OptionRight.PUT and x.expiry == expiry],
        key=lambda x: abs(chain.underlying.price - x.strike))

    if not put_contracts:
        return

    atm_put = put_contracts[0]

3. In the OnDataon_data method, place the orders.

Approach A: Call the OptionStrategies.NakedPutOptionStrategies.naked_put method with the details of each leg and then pass the result to the Buybuy method.

var nakedPut = OptionStrategies.NakedPut(_symbol, atmPut.Strike, expiry);
Buy(nakedPut, 1);

naked_put = OptionStrategies.naked_put(self._symbol, atm_put.strike, expiry)
self.buy(naked_put, 1)

Approach B: Call the Market Ordermarket_order or Limit Orderlimit_order method.

MarketOrder(atmPut.Symbol, -1);

self.market_order(atm_put.symbol, -1)

The payoff of the strategy is

$$ \begin{array}{rcll} P^{K}_T & = & (K - S_T)^{+}\\ P_T & = & (P^{K}_0 - P^{K}_T)\times m - fee \end{array} $$ $$ \begin{array}{rcll} \textrm{where} & P^{K}_T & = & \textrm{Put value at time T}\\ & S_T & = & \textrm{Underlying asset price at time T}\\ & K & = & \textrm{Put strike price}\\ & P_T & = & \textrm{Payout total at time T}\\ & P^{K}_0 & = & \textrm{Put price when the trade opened (credit received)}\\ & m & = & \textrm{Contract multiplier}\\ & T & = & \textrm{Time of expiration} \end{array} $$

The following chart shows the payoff at expiration:

The maximum profit is $P^{K}_0$, which occurs when the underlying price is at or above the strike price of the put at expiration.

The maximum loss is $K - P^{K}_0$, which ocurrs when the underlying price drops to zero.

If the Option is American Option, there is a risk of early assignment on the contract you sell.

The following table shows the price details of the assets in the algorithm:

Asset	Price ($)	Strike ($)
Put	1.37	185.00
Underlying Equity at expiration	190.01	-

Therefore, the payoff is

$$ \begin{array}{rcll} P^{K}_T & = & (K - S_T)^{+}\\ & = & (185 - 190.01)^{+}\\ & = & 0.0\\ P_T & = & (P^{K}_0 - P^{K}_T)\times m - fee\\ & = & (1.37 - 0.0)\times m - fee\\ & = & 1.37 \times 100 - 1\\ & = & 136 \end{array} $$

So, the strategy gains $136.

The following algorithm implements a naked put strategy: