An alternative to the NPV Rule for Capital Investments Define stochastic processes for the key underlying variables and use risk- neutral valuation This approach (known as the real options approach) is likely to do a better job at valuing growth options, abandonment options, etc than NPV
Exercise for home study O&W4.47 tea this problem examines the Fourier transform of a continuous-time LTI system with a real, causal impulse response, h(t) (a) To prove that H(w) is completely specified by eh(u) for a real and causal h(t) lore the even part of a function, he(t)
Estimation of the inputs A computer exercise using real data Implementation problem and some solutions Estimation results in uncertainty Shrinkage and Bayesian inference to deal with uncertainty Imposing restrictions
3.1 Discrete-Time Fourier Transform Definition- The discrete-time Fourier transform (DTFT) X(eio) of a sequence x[n] is given by jae In general,() is a complex function of the real variable and can be written as X(eio) Xre(eio) +j Xim(eio)
Eco514 Game Theory Problem Set 4: Due Tuesday, November 9 1. Machines Extend Proposition 151.1 (the Perfect Folk Theorem with discounting) to arbitrary mixtures of payoff profiles of the original game G =(, (A Ui) ) Allow for both rational and real weights on the set of profiles {u(a): a E A}; note that the statement of the result will involve an approximation of the payoff profile
Ⅱ. Listening skills W: How much money is the rent for an apartment in this neighborhood M: Your rent should be about a quarter of that Q How much should be the woman's rent be? 2. M: I paid $3, 500 for this digital camera. It was on sale at a 30$ discount w: Its a real bargain
Summary of rules for plotting root locus Rule #l The starting points and the End points of the root locus(根轨迹的起点和终点) Rule #2 The Segments of the Root Locus on the Real axis(实轴上的根轨迹)
Definition A real-valued function V: X H R defined on state space X of a system with behavior set B and state r:B×[0,∞)→ X is called a Lyapunov function if tHv(t)=v(a(t))=v(a(z(), t)) is a non-increasing function of time for every z E B according to this definition, Lyapunov
