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Pricing Derivatives

Posted by Bill Campbell III, CFA on April 14, 2013
Posted in: Free.

Pricing derivatives – forwards, futures, FRAs, and swaps – is generally not difficult, and the principle that underlies all pricing relationships is quite easy: arbitrage.

The first thing you need to know is exactly what is meant by the price of a derivative. The price of:

  • A forward/futures contract is the agreed price of the underlying at the expiration of the contract
  • An FRA is the agreed fixed rate
  • A swap is the agreed fixed rate (note that in a fixed-for-fixed currency swap there are two prices, and in a floating-for-floating currency swap or a floating-for-equity swap there is no price)

Here are links to articles on pricing derivatives:

  • Pricing Currency Forwards
  • Pricing Currency Swaps
  • Pricing Equity Swaps
  • Pricing Forwards and Futures
  • Pricing FRAs
  • Pricing Plain Vanilla Interest Rate Swaps

Also note that the formulae used for pricing derivatives will vary depending on whether the risk-free interest rate is given as an effective rate or a nominal rate; for a refresher on nominal vs. effective interest rates, look here.

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