In this paper we outline the European interest rate swaption pricing formula from first principles using the Martingale Representation Theorem and the annuity measure. This leads to an expression that allows us to apply the generalized Black-Scholes result. We show that a swaption pricing...

Asset swaps provide a form of asset financing, where investors borrow funds to purchase an asset, typically a bond. Asset swaps are also a good bond rich-cheap analysis tool. Such swaps can of course be used for speculative purposes. In this paper we provide a brief overview of asset swaps and...

An option is a financial instrument that allows the holder to buy or sell an underlying security in the future at an agreed strike or price set today. Many options are priced under the assumption of constant interest rates as seen in the Black-Scholes (1973) model. In interest rate markets...

Interest rate swaps are an actively traded product in the financial marketplace and are popular for hedging mortgage and corporate loan exposures against rises in interest rates. Asset swaps on the other hand provide a form of asset financing, where investors borrow funds to purchase an asset,...

In electronic rates markets accuracy and low latency are threshold requirements that can be a barrier to market entry as they are essential to survive and compete. In this paper we outline how to achieve high performance by reducing swap pricing and risk calculations into trivial vector and...

In this paper we illustrate and explain the relationship between interest rates (or forward rates) and discount factors. We present the forward-discount factor relationship, which is popular and widely used in financial markets for yield curve construction, and derive the exact formulae using a...

DI1 futures are referenced against one-day interbank deposits (CDI) in the Brazilian onshore market. They have an underlying rate R computed as the average of 1D CDI rates compounded daily on a Bus/252 day count basis, where Bus/252 is equivalent to Act/252.Futures are short interest rate...