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"I do not see how one can undertake research in intertemporal asset-pricing under uncertainty without studying very carefully the past and present work of Robert C. Merton. Accordingly, Basil Blackwell has done the academic and non-academic finance community a great service by publishing this book." Michael Selby, The Economic Journal
"A coherent text that represents a bible on continuous-time finance. Anyone with an interest in financial economics will be aware of the outstanding achievements of Robert C. Merton. To these individuals the book will come as no disappointment. It will undoubtedly be a classic reference on continuous-time finance for many years to come." The Manchester School
"John Maynard Keynes alludes to economics in the following terms ...'the delightful paths of our own most agreeable branch of moral sciences, in which theory and fact, intuitive imagination and practical judgment, are blended in a manner comfortable to the human intellect.' Robert C. Merton's Continuous-time Finance, which comes to us more than 20 years after his first paper appeared, squarely fits this description." Suresh Sundaresan, Columbia University, The Review of Financial Studies
The book begins with a foreword by Paul Samuelson.
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Most Helpful Customer Reviews
23 of 28 people found the following review helpful:
5.0 out of 5 stars
Collection of past papers,
By A Customer
This review is from: Continuous-Time Finance (Macroeconomics and Finance) (Paperback)
This book is a collection of thier(most of the parts are Merton's) papers written during the past 25 years. The papers are little bit changed so as to be cross-referenced through the book. Also You can find some comments in the book for the recent literatures. As you know, Dr. Merton introduced continuous-time approaches into the finance. This book deals with basic mathematics for the continuous time finance, portfolio selection, option pricing, and theory of intertemporal equilibrium. The value of this book is greater than that of papers copied separately in the library. Also it is a great pleasure to see how his theory has been evolved through the book.
4 of 5 people found the following review helpful:
5.0 out of 5 stars
Excellent presentation of Financial theory application IF the central limit theorem holds,
By Michael Emmett Brady "mandmbrady" (Bellflower, California ,United States) - See all my reviews (VINE VOICE) (REAL NAME)
This review is from: Continuous-Time Finance (Macroeconomics and Finance) (Paperback)
Merton's book presents the continuous time generalization of existing finance theory.A good representative section ,demonstrating his technique throughout the book,is contained in his generalization of the Tobin-Markowitz mean -variance approach using the log normal distribution to artificilly minimize the presence of outliers(pp.131-136).Throughout the book Merton uses the word " uncertainty " when he should be using the word " risk ".The entire book is based on the assumption that the central limit theorem holds so that one does not need to consider any other possible distribution shape except the normal because the distribution of the sample means will always be normally distributed for large samples taken from any other shaped distribution.However,this requires that the sample space be composed entirely of continuous and independent observations.The purpose of goodness of fit tests is to establish that the assumptions of the central limit theorem do,in fact ,hold.Nowhere in this book is a single goodness of fit test mentioned or reported.In fact,there is no discussion of any of the existing types of goodness of fit tests at all.Benoit Mandelbrot has demonstrated for about 50 years that the time series data on price changes in financial markets world wide is NOT continuous(they are discrete , bunched,and change in data jumps )and NOT independent(they are dependent-moreover, the time sequence of the events is extremely important).Mandelbrot's critique is thus a much more advanced form of the initial objections raised by J M Keynes to Jan Tinbergen's 1937-38 use of least squares to predict changes in investment spending over time, based primarily on Tinbergen's use of a lagged expectations variable,that appeared in the Economic Journal of 1939-40.Keynes asked Tinbergen to show that his time series data was "...uniform,stable,and homogeneous through time." Tinbergen never demonstrated this at any time in his life .How does Merton deal with the fact that the normal distribution does not come close to approximating the time series data in financial markets ? His response is to cite Paul Cootner's reply made to Mandelbrot in 1963 : " Moreover,as discussed by Cootner...the infinite variance property of the non-Gaussian stable distributions implies that most(all? -author's insert) of our statistical tools ,which are based upon finite moment assumptions(e.g.least squares),are useless.It also implies that even the first moment ,or expected value of the arithmetic price change,does not exist."(p.59).Merton concedes that the L(Levy) stable distributions Mandelbrot has studied fit the actual tail values of the time series data better than the Gaussian does.
The conclusion that I have arrived at in this review is that Merton's techniques are valuable IF the data is continuous,independent,and path independent.On the other hand,Mandelbrot's approach is to be preferred if the time series data is discontinuous,dependent,and path dependent.Merton's approach implies that the private financial markets of the world are stable and convergent over time to a rational expectations equilibrium.The decision maker faces " mild " risk that can be insured against by the holding of various options and derivatives.Mandelbrot's approach implies that the world's private financial markets are unstable and do not converge to a rational expectations equilibrium.The decision maker faces " wild " risk that can't be insured against.
6 of 23 people found the following review helpful:
5.0 out of 5 stars
The bible of continuous time approach to financial theory,
By A Customer
This review is from: Continuous-Time Finance (Macroeconomics and Finance) (Paperback)
I think the Nobel Prize was not enough to thank Professor Merton for his thought. The absolute and necessary book to approach continuous time Finance.
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