Overview of Financial Economics PDF
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University of California, Riverside
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Summary
This document presents an overview of financial economics, covering concepts like resource allocation, individual and household financial decisions, and the St. Petersburg paradox. It also discusses different states of the world and their implications.
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Overview of Financial Economics What is finance? ļ§ Finance: decisions on resource allocation over time ļ§ Costs and benefits are: ļ Spread out over time ļ Not known with certainty in advance ļ§ Financial system ļ Financial markets ļ Financial institutions...
Overview of Financial Economics What is finance? ļ§ Finance: decisions on resource allocation over time ļ§ Costs and benefits are: ļ Spread out over time ļ Not known with certainty in advance ļ§ Financial system ļ Financial markets ļ Financial institutions 2 Why study finance? ļ§ Manage personal resource ļ§ Participate in business interaction ļ§ Career opportunities in finance ļ§ Decisions in a market-oriented society 3 Financial decisions of individuals/households ļ§ Consumption vs. saving ļ§ Investment decisions ļ§ Financing decisions ļ§ Risk-management decisions 4 Preference, Choice, and Utility ļ§ Utility theory: developed by Neumann and Morgenstern (1944) ļ§ Utility maps preference to a numerical scale ļ§ Decision makers (individuals; firms) are rational agents trying to maximize utility ļ E.g., when u($10) > u($1), choose $10 ļ§ Functional forms of utility function can describe more subtle features of preference ļ E.g., concave, convex, and linear utilities ļ Risk-aversion, risk-loving, and risk-neutral 5 St. Petersburg Paradox ļ§ The payoff of a lottery is determined by tossing a fair coin till a head appears ļ§ If the head appears on the first toss, the payoff is $1; if appears on the second toss, the payoff is $2ā¦; if appears on the nth toss, the payoff is $2n-1 ļ§ How much would you pay for this lottery? ļ $1(1/2) + $2(1/4) + $4(1/8) + ā¦ + $2n-1(1/2n) = ļ„ ļ u(1)(1/2) + u(2)(1/4) + u(4)(1/8) + ā¦ + u(2n-1)(1/2n) = ? ļ If u(x) = log(x), the payoff ļ $2 6 State of the world ļ§ A convenient way to model risky payoffs ļ§ Future events that matter to decisions ļ§ E.g., the future price of a stock that is selling at $16 ļ State 1: economic boom; $25 ļ State 2: normal; $18 ļ State 3: recession; $5 ļ Mutually exclusive and collectively exhaustive ļ Probability distribution: 1/3, 1/3, 1/3; 20%, 60%, 20% ļ Expected price = $25*1/3 + $18*1/3 + $5*1/3 = $16 7