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Tree returning the OAS (black vs red): the short rate is the top value; the development of the bond value shows pull-to-par clearly . A short-rate model, in the context of interest rate derivatives, is a mathematical model that describes the future evolution of interest rates by describing the future evolution of the short rate, usually written .
In quantitative finance, a lattice model [1] is a mathematical approach to the valuation of derivatives in situations requiring a discrete time model. For dividend paying equity options , a typical application would correspond to the pricing of an American-style option , where a decision to exercise is allowed at any time up to the maturity.
The key features of the model include the assumptions that goods' prices are sticky, or slow to change, in the short run, but the prices of currencies are flexible, that arbitrage in asset markets holds, via the uncovered interest parity equation, and that expectations of exchange rate changes are "consistent": that is, rational.
John Hull and Alan White, "One factor interest rate models and the valuation of interest rate derivative securities," Journal of Financial and Quantitative Analysis, Vol 28, No 2, (June 1993) pp. 235–254. John Hull and Alan White, "Pricing interest-rate derivative securities", The Review of Financial Studies, Vol 3, No. 4 (1990) pp. 573–592.
Economic forecasting is the process of making predictions about the economy. Forecasts can be carried out at a high level of aggregation—for example for GDP, inflation, unemployment or the fiscal deficit—or at a more disaggregated level, for specific sectors of the economy or even specific firms.
Starting from a constant volatility approach, assume that the derivative's underlying asset price follows a standard model for geometric Brownian motion: = + where is the constant drift (i.e. expected return) of the security price , is the constant volatility, and is a standard Wiener process with zero mean and unit rate of variance.
Updated January 1, 2025 at 11:38 AM Whether you're heading home after the holidays or heading on your first vacation of the new year, the busy holiday travel period continues, and weather may be a ...
This is an example of how the hedger of a PRDC note is short cross gamma. This was the main driver behind the increased market volatility in FX skew, long-dated FX volatility, long-dated Japanese Yen and Australian dollar interest rate, especially during the last quarter of 2008.