These finding are used to obtain analytical posterior results in a two-equation model for money and interest rate in the UK. Subsequent research shows that such methods can substantially increase both reliability and efficiency in the analysis of more complicated models than the ine under scrutiny ...
They consider a simple strategy that longs all firms with positive news stories on the prior trading day and shorts all firms with negative news stories. They model holding both the long and short portfolios for one full trading day and rebalancing at the end of the next trading day. They ...
In my view, the reason these mathematicians did not develop the notion of a function is not some invisible conceptual ceiling that they could not break through; rather they did not develop it for the simple reason that it would not have served any purpose to them. In general, as a matter...
[1] Aït-Sahalia, Yacine. “Testing Continuous-Time Models of the Spot Interest Rate.”Review of Financial Studies, vol. 9, no. 2, Apr. 1996, pp. 385–426. [2] Aït-Sahalia, Yacine. “Transition Densities for Interest Rate and Other Nonlinear Diffusions.”The Journal of Finance, vol...
Let’s wade through a little arithmetic about book and market value. When stocks consistently sell at book value, it’s all very simple. If a stock has a book value of $100 and also an average market value of $100, 12% earnings by business will produce a 12% return for the investor...
For example, linear interpolation can be considered a simple form of curve fitting where the curve is a straight line.Why it is essential?Linear interpolation and curve fitting are essential because they provide efficient ways to estimate values within a data set when exact data is unavailable, ...
Example 1: Simple Logarithmic Equation Solve for x in the equation:log10(x)=3log_{10}(x)=3log10(x)=3 Step-by-Step Solution: Convert the logarithmic equation to exponential form:103=x10^3=x103=x Calculate the value of x=1000 ...
Due to the very large roundtrip time the laser losses can be modulated around different harmonics of the cavity free spectral range, which is convenient for varying in a simple way the effective cavity roundtrip time. Although the CME (20) was derived for fundamental modelocking we can still...
For ε = 0.43 Eqs. (8) and (9) give a = 176 and b = 1.80, respectively. It has to be stressed that experimental determinations of constants a and b have yielded significantly different values, even for simple systems of smooth spheres. Hicks [36] argues that these differences exist ...
In 1975 Lanford [65] showed that, although for a very short time, the Boltzmann equation can be derived starting from the mechanical model of the hard-sphere system. The proof has a deep content but is extremely simple from a technical view point as we shall see in the next section. ...