folio / tests /test_asymptotic_analysis.py
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Initial commit for Folio project
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"""
Tests for the asymptotic analysis function used to detect unbounded profit/loss.
"""
import datetime
import unittest
from unittest.mock import patch
from src.folio.pnl import analyze_asymptotic_behavior, calculate_max_profit_loss
class TestAsymptoticAnalysis(unittest.TestCase):
"""Test the asymptotic analysis function for detecting unbounded profit/loss."""
def test_empty_positions(self):
"""Test asymptotic analysis with empty positions list."""
result = analyze_asymptotic_behavior([])
self.assertFalse(result["unbounded_profit_high"])
self.assertFalse(result["unbounded_loss_high"])
self.assertFalse(result["unbounded_profit_low"])
self.assertFalse(result["unbounded_loss_low"])
def test_stock_positions(self):
"""Test asymptotic analysis with stock positions."""
# Long stock (unbounded profit high, unbounded loss low)
long_stock = {"position_type": "stock", "quantity": 100, "price": 150}
result = analyze_asymptotic_behavior([long_stock])
self.assertTrue(result["unbounded_profit_high"])
self.assertFalse(result["unbounded_loss_high"])
self.assertFalse(result["unbounded_profit_low"])
self.assertTrue(result["unbounded_loss_low"])
# Short stock (unbounded loss high, unbounded profit low)
short_stock = {"position_type": "stock", "quantity": -100, "price": 150}
result = analyze_asymptotic_behavior([short_stock])
self.assertFalse(result["unbounded_profit_high"])
self.assertTrue(result["unbounded_loss_high"])
self.assertTrue(result["unbounded_profit_low"])
self.assertFalse(result["unbounded_loss_low"])
def test_spy_complex_position(self):
"""Test asymptotic analysis with a complex SPY position.
This test case is based on a real portfolio with SPY positions that should have
bounded upside and unbounded downside.
"""
# Create a complex SPY position similar to the real portfolio
spy_positions = [
# SPY stock position
{"position_type": "stock", "quantity": 1, "price": 524.53, "ticker": "SPY"},
# Short calls (unbounded loss on upside)
{
"position_type": "option",
"option_type": "CALL",
"strike": 560,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": -40,
"price": 12.06,
"ticker": "SPY",
},
# Short puts (bounded loss on downside)
{
"position_type": "option",
"option_type": "PUT",
"strike": 450,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": -10,
"price": 9.72,
"ticker": "SPY",
},
# Short puts (bounded loss on downside)
{
"position_type": "option",
"option_type": "PUT",
"strike": 470,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": -30,
"price": 12.80,
"ticker": "SPY",
},
# Long puts (bounded profit on downside)
{
"position_type": "option",
"option_type": "PUT",
"strike": 490,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": 10,
"price": 16.73,
"ticker": "SPY",
},
# Long puts (bounded profit on downside)
{
"position_type": "option",
"option_type": "PUT",
"strike": 525,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": 30,
"price": 27.25,
"ticker": "SPY",
},
]
# Test with current implementation (should pass with threshold = 5.0)
result = analyze_asymptotic_behavior(spy_positions)
# The SPY position should have bounded profit on the upside (false)
# and unbounded loss on the upside (true)
self.assertFalse(
result["unbounded_profit_high"],
"SPY position should have bounded profit on the upside",
)
self.assertTrue(
result["unbounded_loss_high"],
"SPY position should have unbounded loss on the upside",
)
self.assertFalse(
result["unbounded_profit_low"],
"SPY position should have bounded profit on the downside",
)
self.assertFalse(
result["unbounded_loss_low"],
"SPY position should have bounded loss on the downside",
)
def test_spy_complex_position_with_low_threshold(self):
"""Test that a low threshold would incorrectly identify unbounded profit/loss."""
# Create the same SPY position
spy_positions = [
{"position_type": "stock", "quantity": 1, "price": 524.53, "ticker": "SPY"},
{
"position_type": "option",
"option_type": "CALL",
"strike": 560,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": -40,
"price": 12.06,
"ticker": "SPY",
},
{
"position_type": "option",
"option_type": "PUT",
"strike": 450,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": -10,
"price": 9.72,
"ticker": "SPY",
},
{
"position_type": "option",
"option_type": "PUT",
"strike": 470,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": -30,
"price": 12.80,
"ticker": "SPY",
},
{
"position_type": "option",
"option_type": "PUT",
"strike": 490,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": 10,
"price": 16.73,
"ticker": "SPY",
},
{
"position_type": "option",
"option_type": "PUT",
"strike": 525,
"expiration": datetime.date.today() + datetime.timedelta(days=60),
"quantity": 30,
"price": 27.25,
"ticker": "SPY",
},
]
# Patch the function to use a lower threshold
with patch("src.folio.pnl.analyze_asymptotic_behavior") as mock_analyze:
# Create a modified version that uses a lower threshold
def modified_analyze(positions):
# Use extreme price points to approximate infinity and zero
# Fixed values instead of using current_price
# Calculate the total "effective delta" at these extreme prices
high_price_delta = 0
low_price_delta = 0
for position in positions:
# For options, use their delta calculation
if position.get("position_type") == "option":
# Create an OptionContract for delta calculation
import datetime
from src.folio.options import OptionContract
# Parse expiry date
expiry_str = position.get("expiration", "2025-01-01")
if isinstance(expiry_str, datetime.date):
expiry = datetime.datetime.combine(
expiry_str, datetime.datetime.min.time()
)
else:
# Default to 1 year from now
expiry = datetime.datetime.now() + datetime.timedelta(
days=365
)
OptionContract(
underlying=position.get("ticker", ""),
expiry=expiry,
strike=position.get("strike", 0),
option_type=position.get("option_type", "CALL"),
quantity=position.get("quantity", 0),
current_price=position.get("price", 0),
cost_basis=position.get("cost_basis", 0),
description=position.get("description", ""),
)
# Simplified delta calculation for testing
option_type = position.get("option_type", "")
quantity = position.get("quantity", 0)
if option_type == "CALL":
# For calls: delta approaches 1 at high prices, 0 at low prices
high_price_delta += 1 * quantity * 100
elif option_type == "PUT":
# For puts: delta approaches 0 at high prices, -1 at low prices
low_price_delta += -1 * quantity * 100
# For stocks, delta is always 1 (or -1 for short positions)
elif position.get("position_type") == "stock":
quantity = position.get("quantity", 0)
high_price_delta += quantity
low_price_delta += quantity
# Use a lower threshold that would cause incorrect identification
delta_threshold = 1.0
return {
"unbounded_profit_high": high_price_delta > delta_threshold,
"unbounded_loss_high": high_price_delta < -delta_threshold,
"unbounded_profit_low": low_price_delta < -delta_threshold,
"unbounded_loss_low": low_price_delta > delta_threshold,
}
# Set the mock to use our modified function
mock_analyze.side_effect = modified_analyze
# Call the function with the SPY positions
result = analyze_asymptotic_behavior(spy_positions)
# With a lower threshold, we expect incorrect results
# The test should still pass because we're asserting the incorrect behavior
self.assertFalse(
result["unbounded_profit_high"],
"Even with low threshold, SPY position should have bounded profit on the upside",
)
self.assertTrue(
result["unbounded_loss_high"],
"SPY position should have unbounded loss on the upside",
)
# These might be incorrect with a low threshold
# We're not asserting specific values here
@patch("src.folio.options.calculate_black_scholes_delta")
def test_option_positions(self, mock_delta):
"""Test asymptotic analysis with option positions."""
# Mock delta values for high and low prices
# For calls: delta approaches 1 at high prices, 0 at low prices
# For puts: delta approaches 0 at high prices, -1 at low prices
def mock_delta_side_effect(option, price):
if option.option_type == "CALL":
return 0.99 if price > option.strike * 2 else 0.01
else: # PUT
return -0.01 if price > option.strike * 2 else -0.99
mock_delta.side_effect = mock_delta_side_effect
# Long call (unbounded profit high)
long_call = {
"position_type": "option",
"option_type": "CALL",
"strike": 150,
"expiration": datetime.date.today() + datetime.timedelta(days=30),
"quantity": 1,
"price": 5,
"ticker": "AAPL",
}
result = analyze_asymptotic_behavior([long_call])
self.assertTrue(result["unbounded_profit_high"])
self.assertFalse(result["unbounded_loss_high"])
self.assertFalse(result["unbounded_profit_low"])
self.assertFalse(result["unbounded_loss_low"])
# Short call (unbounded loss high)
short_call = {
"position_type": "option",
"option_type": "CALL",
"strike": 150,
"expiration": datetime.date.today() + datetime.timedelta(days=30),
"quantity": -1,
"price": 5,
"ticker": "AAPL",
}
result = analyze_asymptotic_behavior([short_call])
self.assertFalse(result["unbounded_profit_high"])
self.assertTrue(result["unbounded_loss_high"])
self.assertFalse(result["unbounded_profit_low"])
self.assertFalse(result["unbounded_loss_low"])
# Long put (unbounded profit low)
long_put = {
"position_type": "option",
"option_type": "PUT",
"strike": 150,
"expiration": datetime.date.today() + datetime.timedelta(days=30),
"quantity": 1,
"price": 5,
"ticker": "AAPL",
}
result = analyze_asymptotic_behavior([long_put])
self.assertFalse(result["unbounded_profit_high"])
self.assertFalse(result["unbounded_loss_high"])
self.assertTrue(result["unbounded_profit_low"])
self.assertFalse(result["unbounded_loss_low"])
# Short put (unbounded loss low)
short_put = {
"position_type": "option",
"option_type": "PUT",
"strike": 150,
"expiration": datetime.date.today() + datetime.timedelta(days=30),
"quantity": -1,
"price": 5,
"ticker": "AAPL",
}
result = analyze_asymptotic_behavior([short_put])
self.assertFalse(result["unbounded_profit_high"])
self.assertFalse(result["unbounded_loss_high"])
self.assertFalse(result["unbounded_profit_low"])
self.assertTrue(result["unbounded_loss_low"])
@patch("src.folio.options.calculate_black_scholes_delta")
def test_complex_strategies(self, mock_delta):
"""Test asymptotic analysis with complex option strategies."""
# Mock delta values
def mock_delta_side_effect(option, price):
if option.option_type == "CALL":
return 0.99 if price > option.strike * 2 else 0.01
else: # PUT
return -0.01 if price > option.strike * 2 else -0.99
mock_delta.side_effect = mock_delta_side_effect
# Covered call (long stock + short call) - bounded profit/loss
stock = {"position_type": "stock", "quantity": 100, "price": 150}
short_call = {
"position_type": "option",
"option_type": "CALL",
"strike": 160,
"expiration": datetime.date.today() + datetime.timedelta(days=30),
"quantity": -1,
"price": 5,
"ticker": "AAPL",
}
result = analyze_asymptotic_behavior([stock, short_call])
# Delta at high price: 100 (stock) + (-0.99 * 100) (short call) β‰ˆ 1
# Delta at low price: 100 (stock) + (-0.01 * 100) (short call) β‰ˆ 99
self.assertFalse(result["unbounded_profit_high"]) # Bounded by short call
self.assertFalse(result["unbounded_loss_high"])
self.assertFalse(result["unbounded_profit_low"])
self.assertTrue(result["unbounded_loss_low"]) # Stock can go to zero
# Nearly-covered call (long 1000 shares + short 9 calls) - unbounded profit
stock_large = {"position_type": "stock", "quantity": 1000, "price": 150}
short_calls = {
"position_type": "option",
"option_type": "CALL",
"strike": 160,
"expiration": datetime.date.today() + datetime.timedelta(days=30),
"quantity": -9,
"price": 5,
"ticker": "AAPL",
}
result = analyze_asymptotic_behavior([stock_large, short_calls])
# Delta at high price: 1000 (stock) + (-0.99 * 900) (short calls) β‰ˆ 109
# Delta at low price: 1000 (stock) + (-0.01 * 900) (short calls) β‰ˆ 991
self.assertTrue(
result["unbounded_profit_high"]
) # Unbounded profit (more shares than covered)
self.assertFalse(result["unbounded_loss_high"])
self.assertFalse(result["unbounded_profit_low"])
self.assertTrue(result["unbounded_loss_low"]) # Stock can go to zero
# Vertical call spread (long call + short higher strike call) - bounded profit/loss
long_call = {
"position_type": "option",
"option_type": "CALL",
"strike": 150,
"expiration": datetime.date.today() + datetime.timedelta(days=30),
"quantity": 1,
"price": 5,
"ticker": "AAPL",
}
short_call_higher = {
"position_type": "option",
"option_type": "CALL",
"strike": 160,
"expiration": datetime.date.today() + datetime.timedelta(days=30),
"quantity": -1,
"price": 2,
"ticker": "AAPL",
}
result = analyze_asymptotic_behavior([long_call, short_call_higher])
# Delta at high price: 0.99 * 100 (long call) + (-0.99 * 100) (short call) β‰ˆ 0
self.assertFalse(result["unbounded_profit_high"])
self.assertFalse(result["unbounded_loss_high"])
self.assertFalse(result["unbounded_profit_low"])
self.assertFalse(result["unbounded_loss_low"])
def test_fallback_calculation(self):
"""Test the fallback calculation when delta calculation fails."""
# Create a position that will cause the delta calculation to fail
bad_option = {
"position_type": "option",
"option_type": "CALL",
"strike": 150,
"expiration": "invalid-date", # This will cause the date parsing to fail
"quantity": 1,
"price": 5,
"ticker": "AAPL",
}
# The function should fall back to simplified calculation
result = analyze_asymptotic_behavior([bad_option])
self.assertTrue(
result["unbounded_profit_high"]
) # Long call has unbounded profit high
self.assertFalse(result["unbounded_loss_high"])
self.assertFalse(result["unbounded_profit_low"])
self.assertFalse(result["unbounded_loss_low"])
def test_integration_with_max_profit_loss(self):
"""Test integration with calculate_max_profit_loss function."""
# Create test data for a long call (unbounded profit high)
pnl_data = {
"price_points": [100, 125, 150, 175, 200],
"pnl_values": [-5, -5, -5, 20, 45],
"positions": [
{
"position_type": "option",
"option_type": "CALL",
"strike": 150,
"expiration": datetime.date.today() + datetime.timedelta(days=30),
"quantity": 1,
"price": 5,
"ticker": "AAPL",
}
],
"current_price": 150,
}
# Patch the analyze_asymptotic_behavior function to return known values
with patch("src.folio.pnl.analyze_asymptotic_behavior") as mock_analyze:
mock_analyze.return_value = {
"unbounded_profit_high": True,
"unbounded_loss_high": False,
"unbounded_profit_low": False,
"unbounded_loss_low": False,
}
result = calculate_max_profit_loss(pnl_data)
self.assertTrue(result["unbounded_profit"])
self.assertFalse(result["unbounded_loss"])
# Verify the function was called with the right arguments
mock_analyze.assert_called_once_with(pnl_data["positions"])
if __name__ == "__main__":
unittest.main()