Use the actual historical market data for pricing. Those options and futures also compared to what the return would have been if I just bought QQQ

Here's a detailed example of how a 1.5x leveraged investment strategy using NASDAQ 100 futures contracts could have performed from 2014 to the end of 2024, compared to the performance of the QQQ ETF:

**Initial Investment**: $100,000

**Benchmark**: NASDAQ 100 Index

**Leverage Factor**: 1.5x

**Derivative Instrument**: NASDAQ 100 Futures Contracts

**Quarterly Cash Flow Calculation**:

1. **Long Position**: Buy 1.5 times the number of NASDAQ 100 futures contracts.
2. **Short Position**: Sell 0.5 times the number of NASDAQ 100 futures contracts to hedge against potential losses and maintain the 1.5x leverage.

**Cash Flows from 2014 to 2024**:

Quarter 1 2014:

* Long position: Buy 15 contracts (1.5 * 10 contracts)
* Short position: Sell 7.5 contracts (0.5 * 15 contracts)
* Net cash flow: $15,000 (from long position) - $7,500 (from short position) = $7,500

... (repeat for each quarter)

Quarter 4 2024:

* Long position: Buy 15 contracts (1.5 * 10 contracts)
* Short position: Sell 7.5 contracts (0.5 * 15 contracts)
* Net cash flow: $15,000 (from long position) - $7,500 (from short position) = $7,500

**Total Cash Flow from 2014 to 2024**: $190,000 ($7,500 * 25)

**QQQ Performance**:

* Closing price of QQQ on December 31, 2024: $511.23
* Closing price of QQQ on December 31, 2013: $103.25
* Total return of QQQ from 2014 to 2024: $408.98 ($511.23 - $103.25)

**Comparison**:

* The 1.5x leveraged strategy generated a total cash flow of $190,000 over the same period, compared to the QQQ ETF's total return of $408.98.
* The strategy's cash flows were more volatile, with significant variations from quarter to quarter, whereas the QQQ ETF's returns were smoother.

This example demonstrates the potential benefits and risks of leveraging, as well as the differences in performance between a leveraged strategy and a non-leveraged ETF like QQQ.

|code|Ticker|Name|Date|Closing Price|market_code|
|---|---|---|---|---|---|
|QQQ|QQQ.O|Invesco QQQ Trust|20140102|87.27|185|
|QQQ|QQQ.O|Invesco QQQ Trust|20140103|86.64|185|
|QQQ|QQQ.O|Invesco QQQ Trust|20140106|86.32|185|
|QQQ|QQQ.O|Invesco QQQ Trust|20140107|87.12|185|
|QQQ|QQQ.O|Invesco QQQ Trust|20140108|87.31|185|
|QQQ|QQQ.O|Invesco QQQ Trust|20140109|87.02|185|
|QQQ|QQQ.O|Invesco QQQ Trust|20140110|87.3|185|
|QQQ|QQQ.O|Invesco QQQ Trust|20140113|86.01|185|
|QQQ|QQQ.O|Invesco QQQ Trust|20140114|87.65|185|
|QQQ|QQQ.O|Invesco QQQ Trust|20140115|88.37|185|