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Derivatives

Valuation of Interest Rate Swaps

When an interest rate swap is contracted, its initial value is zero. However, after some time passes, its value may become positive or negative for one of the […]

October 5, 2025 Advanced
Derivatives

Extending SWAP Zero Curve

To value derivatives, traders rely on LIBOR (London Interbank Offered Rate) as the risk-free interest rate. The problem is that these rates are only available for up to […]

October 4, 2025 Advanced
Derivatives

Expected Spot Price

How can we assess the market’s expectation about the future change in the price of an asset? For example, if today the spot price of one ton of […]

October 3, 2025 Advanced
Derivatives

Futures on Commodities

The Futures Price Formula for Commodities Requires Additional Ingredients Such commodities can be predominantly investment-oriented (e.g., gold, silver) or predominantly consumption-oriented (e.g., copper, oil). The latter requires taking […]

September 28, 2025 Advanced
Derivatives

Forward vs Futures Prices

Since forward pricing formulas are used to evaluate futures, the question arises: are futures and forwards priced the same? Theoretically, in the long run, it is said that […]

September 27, 2025 Advanced
Derivatives

Valuing Forward Contracts

Before we move to valuing a forward contract, it’s important to understand the connection between the spot price of an asset and its forward price. Let’s start with […]

September 21, 2025 Advanced
Derivatives

📉 Short Selling vs. Regular Buying

💡 Most investors know how to make money when stocks rise… but did you know you can also profit when stocks fall? That’s called short selling (or “shorting”). […]

September 20, 2025 Advanced