By Oldrich A. Vasicek
Foreword via Robert C. Merton
The compiled works of the guy in the back of the evolution of quantitative finance
Finance, Economics, and Mathematics is the entire Vasicek reference paintings, together with released and unpublished paintings and interviews with the guy himself. The identify Oldrich A. Vasicek is synonymous with state of the art examine within the finance fields, and this e-book comes directly from the resource to deliver you the undiluted mom lode of quant knowledge from one of many founders of the sector. From his early paintings in yield curve dynamics, to the mean-reverting short-rate version, to his options on derivatives pricing, to his paintings on credits possibility, to his latest examine at the economics of rates of interest, this e-book represents the life's paintings of an chief. Going past the papers, you will additionally locate the extra own aspect inspirational as Vasicek talks concerning the lecturers and execs who made lasting impressions and collaborated, debated, and finally helped spawn a few of his maximum pondering.
Oldrich Vasicek has received nearly each very important award and prize for his groundbreaking learn in quantitative finance. you've got his paintings for years; this publication places all of it in one quantity to provide you the definitive reference you are going to flip to many times.
- Explore Vasicek's insights on themes he helped create
- Discover his learn and concepts that experience long past unpublished—until now
- Understand yield curves and the Vasicek version from the resource himself
- Gain a reference choice of the most influential paintings in quantitative finance
Vasicek's learn is the root of 1 of an important strategies in finance. Quants all over the world were prompted through his rules, and his prestige as idea chief is cemented within the annals of finance heritage. Finance, Economics, and Mathematics is the definitive Vasicek reference each finance specialist wishes.
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Extra info for Finance, Economics, and Mathematics
Term structure models are specific applications of term structure theory. The joint stochastic process is driven by sources of uncertainty. For continuous processes, the sources of uncertainty are often specified as Wiener processes. If the evolution of the yield curve can be represented by Markovian state variables, these variables are called factors. A general theory of one-factor term structure models is given in the 1977 paper “An Equilibrium Characterization of the Term Structure” (Chapter 6).
This produces estimates of the discount function as a continuous function of time. For cubic or higher order splines, the forward rates are a smooth function. Since the model is linear in the discount function, ordinary least-squares regression techniques can be used. In addressing the effect of taxation, McCulloch [1975a] estimates the after-tax term structure of interest rates and the marginal income tax rate. Estimates of the tax rate were achieved by minimizing the standard error of the regression.
It was a completely nonanalytical approach, based on the relationship with the client and on experience. We proposed that the stock market in effect does all that—that it’s the aggregate judgment of hundreds of thousands of investors, with the bottom line of their evaluation expressed as the price at which they’re willing to buy and sell the stock. If we could succeed in extracting the information from the stock and converting it to the valuation of the credit, we’d capitalize on all this information.
Finance, Economics, and Mathematics by Oldrich A. Vasicek