By J. Dupacova, J. Hurt, J. Stepan
ISBN-10: 1402008406
ISBN-13: 9781402008405
Presents either a wealthy cross-section of latest ways to stochastic modeling in finance and financial choice making orientated. fabric levels from universal instruments to recommendations of refined difficulties and purposes.
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Extra resources for Stochastic Modeling in Economics and Finance (Applied Optimization)
Example text
Particularly, symbols or R may serve as typical representatives. Sometimes R or means a return, sometimes the rate of return, sometimes the expected rate of return, sometimes the interest rate, etc. Also, there is an ambiguity in distinguishing between a random variable and the expected value of it. In financial literature, a random variable is often stressed by the wave, like and the expected value is simply X, while in mathematics X is reserved for a random variable and EX stands for its expected value.
This is a rather idealized situation, however, since it does not take transaction costs into account. 3 Notation We will assume the continuous-time world with constant riskless rate of interest (force of interest) applied both to borrowing and lending. Symbols and will stand for the price of a European CALL and PUT, respectively. Analogously, symbols C and P will be used for prices of the respective American options. The price of the underlying asset (usually stock) will be denoted S and we will suppose that there are no liabilities like dividends connected with this asset during the period involved.
006372. , the graph of the present value in dependence on the interest rate involved. The leading rule is simple; for a given accept the project if its present value at this interest rate is positive: For class I projects, the criterion of positive present value is equivalent to In case of independent projects we select all the projects with the positive present values at the given interest rate. If the projects are mutually exclusive we select that with the highest present value. If we investigate a set of projects which are mutually exclusive dependent on the valuation interest rate we should select the project that is determined by the upper envelope of the present value profiles.
Stochastic Modeling in Economics and Finance (Applied Optimization) by J. Dupacova, J. Hurt, J. Stepan
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