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Starting with observable annually compounded forward rates we derive a term structure model of interest rates. The model relies upon the assumption that a specific set of annually compounded forward rates is log-normally distributed. We derive solutions for interest rate caps and floors as well...
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The basic model of financial economics is the Samuelson model of geometric Brownian motion because of the celebrated Black-Scholes formula for pricing the call option. The assets volatility is a linear function of the asset value and the model garantees positive asset prices. In this paper it is...
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The paper contributes to the stochastic volatility literature by developing simulation schemes for the conditional distributions of the price of long term bonds and their variability based on non-standard distributional assumptions and volatility concepts; itillustrates the potential value of...
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Do the Math: On Growth, Greed, and Strategic Thinking is a fresh look at the numbers of daily living, particularly in light of current economic troubles, where modern economic practices, mathematical concepts, and everyday moral dilemmas are discussed. The book is original because it tackles...
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