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MICROECONOMIC THEORY - Department of Economics
MICROECONOMIC THEORY - Department of Economics

... The Portfolio Problem • How much wealth should a risk-averse person invest in a risky asset? – the fraction invested in risky assets should be smaller for more risk-averse investors ...
To hedge or not to hedge? Evaluating currency
To hedge or not to hedge? Evaluating currency

... points annually for developed-market currencies.8 Notably, during times of market turmoil such as in 2008–2009, the hedging cost may rise dramatically. Although both the explicit expense ratio and implicit transaction costs of hedging are fairly certain, the benefits may be quite uncertain, as this ...
Valuation of Asian Option
Valuation of Asian Option

Research Insight - Risk and Return of Factor Portfolios
Research Insight - Risk and Return of Factor Portfolios

... important for investors, because of the higher transaction costs typically associated with small‐cap  stocks.   To illustrate the relationship between regression weighting and the factor portfolio’s stock size  distribution, we divided the estimation universe stocks into five quintiles based on thei ...
Value-at-Risk and Expected Stock Returns
Value-at-Risk and Expected Stock Returns

Sharp Target Range Strategies with Application to Dynamic
Sharp Target Range Strategies with Application to Dynamic

... solves the problem of maximizing the probability of beating a stochastic benchmark by a given percentage. Gaivoronski, Krylov, and van der Wijst (2005) propose a dynamic benchmark-tracking strategy with transaction cost, applicable to a variety of risk measures. Morton, Popova, and Ivilina (2006) m ...
Liquidity risk, Leverage and Long
Liquidity risk, Leverage and Long

... the Nasdaq stock exchange at the end of the year prior to the IPO and that are not in our sample of IPOs for a period of five years prior to the offer date. The size-matched firm is the firm closest in market capitalization to the issuer, where the issuer’s market capitalization is the first availa ...
Risk Measures and Risk Capital Allocation
Risk Measures and Risk Capital Allocation

CF Canlife Asia Pacific Fund
CF Canlife Asia Pacific Fund

... companies which means they may be more difficult to buy and sell. Their prices may also be subject to short term swings. Counterparty Risk: As the Fund may enter into agreements to purchase warrants, structured products and currency hedging with counterparties; there is a risk that those parties may ...
State Occurring
State Occurring

...  Describe how to determine the appropriate reward—that is, risk premium—that investors should earn for purchasing a risky investment.  Describe actions that investors take when the return they require to purchase an investment is different from the return they expect the investment to produce.  I ...
Survey Expectations and the Equilibrium Risk
Survey Expectations and the Equilibrium Risk

... state. Under pro-cyclical optimism, the habit state-variable is excessively persistent and, hence, the forward-looking component of volatility becomes more important. Such an effect is stronger in bad times because risk aversion makes prices more sensitive to the state. Hence, the premium and the re ...
lincreasedl Correlation in Bear Markets
lincreasedl Correlation in Bear Markets

... By using the VAR methodology, we are able to estimate the probabilifrir of a portfolio's reti3,m failing below a thre.shold (V,AR) return with a prespecified confidence level. With constanl correlation over the joint return distribution assumed, th,e probability^ of the portfoiio return falling belo ...
A Natural Experiment on Dynamic Asset Allocation
A Natural Experiment on Dynamic Asset Allocation

... setting. Shefrin and Statman (2000) develop a behavioral portfolio theory in which multiple layers of investments are segmented from one another. They argue that popular advice is constructed as a pyramid: cash in the bottom (risk-free) layer, bonds in the middle (less risky) layer, and stocks in t ...
talk - Center for Applied Probability
talk - Center for Applied Probability

... September 1999, the nominal amount is $ 100, a relatively small number meant to create liquidity (the number of degree-days during the months of January or July may be of the order of 1,000). The final settlement price is defined by the HDD or CDD (cumulative) index of the contract month as calculat ...
Chapter 10 Arbitrage Pricing Theory and Multifactor Models of Risk
Chapter 10 Arbitrage Pricing Theory and Multifactor Models of Risk

The Welfare Cost of Business Cycles with
The Welfare Cost of Business Cycles with

... over time but also across all idiosyncratic features of the population. In other words, this welfare measure acts as if people were asked ex ante which economy they would like to be born in. Hence, the measure of business cycles can be thought of as the amount of consumption compensation newborns sh ...
A Close Look into Black-Scholes Option Pricing Model
A Close Look into Black-Scholes Option Pricing Model

... stock brokers charge rates based on spreads and other criteria. However, this is hardly the case in the real world. More significantly, the model assumes that markets are perfectly liquid and it is possible to purchase or sell any amount of stock or options or their fractions at any given time. This ...
CPDO – Managed Trades
CPDO – Managed Trades

... modeling of asset ratings must be done using a transition model and not just a default model • Thus each asset in the portfolio is transitioned on a timely basis according to a transition matrix • If there are no substitutions in the portfolio the default rates at each point in time are consistent w ...
Stock Market Overreaction to Bad News in Good Times: A Rational
Stock Market Overreaction to Bad News in Good Times: A Rational

... unobservable variables has the undesirable outcome that, if investors’ priors are also assumed to be normally distributed, the conditional variance of investors’ expectations is deterministic. Therefore the assumption of Gaussian distributions is ill-suited to study issues related to changing volati ...
***** 1
***** 1

... values at that date. Any difference between the cost of the business combination and the acquirer’s interest in the net fair value of the identifiable assets, liabilities and provisions for contingent liabilities so recognized shall be accounted as ‘negative goodwill’ or gain from bargain purchase. ...
Project Interactions (Real Options)
Project Interactions (Real Options)

... 4. Using the numbers in 3) you can find the corporate beta and market beta coefficient (equal to ((s/s)r) 5. Most projects have a + correlation with other projects and a coefficient < 1 6. Most projects are positively correlated with the market with coefficient < 1 7. Corporate risk should also be e ...
Redefining Indexing Using Smart Beta Strategies
Redefining Indexing Using Smart Beta Strategies

... In the last few decades6, the results of several studies have challenged the orthodoxy upon which market capitalizationweighted investing is based: that the entire market is the only risk factor that systematically rewards exposure to it7, according to the Capital Asset Pricing Model (CAPM). In addi ...
What Determines Expected International Asset Returns?*
What Determines Expected International Asset Returns?*

... throughout that λ(Z) and B have full column rank K. Otherwise, (3) will be reduced to a pricing model with the number of factors being less than K. As in most studies, we assume that the expected returns are governed by the multivariate regression model: rit = θ1i Zt−1,1 + · · · + θLi Zt−1,L + εit , ...
“Idiosyncratic Risk, Systematic Risk, and Firm Welfare”
“Idiosyncratic Risk, Systematic Risk, and Firm Welfare”

... to enter the market at a …xed cost or eschew trade. In other words, we assume that all M investors can trade in the market portfolio and the risk-free asset, but an investor can only trade in the …rm’s shares if he absorbs a cost C. Thus, only a subset N of the M ...
The Greek Letters
The Greek Letters

... Managing Delta, Gamma, & Vega D can be changed by taking a position in the underlying  To adjust G & n it is necessary to take a position in an option or other derivative ...
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Modern portfolio theory

Modern portfolio theory (MPT) is a theory of finance that attempts to maximize portfolio expected return for a given amount of portfolio risk, or equivalently minimize risk for a given level of expected return, by carefully choosing the proportions of various assets. Although MPT is widely used in practice in the financial industry and several of its creators won a Nobel memorial prize for the theory, in recent years the basic assumptions of MPT have been widely challenged by fields such as behavioral economics.MPT is a mathematical formulation of the concept of diversification in investing, with the aim of selecting a collection of investment assets that has lower overall risk than any other combination of assets with the same expected return. This is possible, intuitively speaking, because different types of assets sometimes change in value in opposite directions. For example, to the extent prices in the stock market move differently from prices in the bond market, a combination of both types of assets can in theory generate lower overall risk than either individually. Diversification can lower risk even if assets' returns are positively correlated.More technically, MPT models an asset's return as a normally or elliptically distributed random variable, defines risk as the standard deviation of return, and models a portfolio as a weighted combination of assets, so that the return of a portfolio is the weighted combination of the assets' returns. By combining different assets whose returns are not perfectly positively correlated, MPT seeks to reduce the total variance of the portfolio return. MPT also assumes that investors are rational and markets are efficient.MPT was developed in the 1950s through the early 1970s and was considered an important advance in the mathematical modeling of finance. Since then, some theoretical and practical criticisms have been leveled against it. These include evidence that financial returns do not follow a normal distribution or indeed any symmetric distribution, and that correlations between asset classes are not fixed but can vary depending on external events (especially in crises). Further, there remains evidence that investors are not rational and markets may not be efficient. Finally, the low volatility anomaly conflicts with CAPM's trade-off assumption of higher risk for higher return. It states that a portfolio consisting of low volatility equities (like blue chip stocks) reaps higher risk-adjusted returns than a portfolio with high volatility equities (like illiquid penny stocks). A study conducted by Myron Scholes, Michael Jensen, and Fischer Black in 1972 suggests that the relationship between return and beta might be flat or even negatively correlated.
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