How to calculate single factor portfolios?5 answersTo calculate single-factor portfolios, one can utilize models like the Single-factor Index model proposed by Delikouras and Kostakis. This model is based on an indicator function of consumption growth being less than its endogenous certainty equivalent, derived from disappointment-aversion preferences. By locating this certainty equivalent approximately 1 standard deviation below the conditional mean of consumption growth, the model can explain the cross-section of expected returns for various portfolios effectively. Additionally, the study by Wang et al. highlights the use of the Single-factor Index model in determining optimal portfolios, showcasing its practicality and convenience for individual investors and financial institutions. By incorporating these methodologies and insights, investors can make informed decisions when constructing single-factor portfolios.
What did Swishchuk said about the black scholes model?5 answersThe Black-Scholes model is widely accepted in the financial market, despite its violation of the constant volatility assumption. It is considered a viable risk management tool, even in markets characterized by stochastic volatilities. The model allows investors to analyze whether the price of a financial asset in a buying and selling process is fair. The Black-Scholes model is used to determine option prices and is accepted by the financial sector. The model has been applied to European call option pricing with dividend, and its solutions have been derived in the form of partial differential equations. The book "Stochastic Finance" provides an introduction to mathematical finance and covers the continuous Black-Scholes model, among other topics.
What is the Black Scholes model?5 answersThe Black-Scholes model is a mathematical model for the dynamics of a financial market that includes derivative investment instruments. It provides a theoretical price estimate of European-style options by hedging the option through the purchase and sale of the underlying asset. The model assumes that the market follows a geometric Brownian motion, but this assumption has been relaxed and generalized in various ways. The concept of robust finance aims to develop models that account for uncertainties and variations in financial markets. One prominent direction in robust finance is Martingale Optimal Transport, which adapts Optimal Transport theory to the financial framework. Market models with multiple underlying assets and time periods have been considered, and the existence of a portfolio sub- or super-hedging a general path-dependent derivative security has been demonstrated. This resolves the question of dual attainment for the multi-period vectorial martingale optimal transport problem.
What are the main aspects of the modern portfolio theory?5 answersThe main aspects of the modern portfolio theory (MPT) include the importance of diversification in reducing portfolio risk. MPT emphasizes the need to view assets as parts of a portfolio rather than individual investments, prioritizing low risk over high return. MPT also highlights the use of historical data to calculate expected returns and assess investment portfolios. However, MPT has limitations, such as its unrealistic assumptions and neglect of macroeconomic factors. To address these limitations, researchers have proposed alternative theories based on MPT, such as Goal-based investing and Post-modern portfolio theory. Additionally, some studies have explored the application of MPT using additional criteria, such as financial ratio analysis, to improve portfolio performance. Overall, MPT provides a framework for portfolio management, but it is important to consider its limitations and explore alternative approaches.
What are the key factors to consider when selecting a purchasing portfolio model?3 answersWhen selecting a purchasing portfolio model, key factors to consider include the definition of appropriate key attributes for measuring and defining dimensions, the identification of factors that influence supply risk and profit impact, and the scaling of these attributes with numerical values for practical application. Additionally, the strategic importance of purchases and supply vulnerability should be taken into account, as well as the need for a more efficient and effective model for strategic management in specific industries such as healthcare. The use of criteria prioritization techniques, such as Analytical Hierarchical Process (AHP), can aid in weighting these key factors and evaluating purchases. The development of a purchasing portfolio model can enable the classification of items based on strategic impact and supply risk, allowing for the development of differentiated purchasing strategies.
What is Modern Portfolio Theory?5 answersModern Portfolio Theory (MPT) is a framework for portfolio management that emphasizes diversification to reduce risk. It was introduced in 1952 and has since been widely used in the finance industry. MPT suggests that investors should not put all their eggs in one basket and instead should consider a portfolio of assets. It highlights the importance of low risk before high return and the benefits of diversification in eliminating specific risk. MPT has limitations, such as assuming assets are normally distributed and neglecting macroeconomic factors and company evolution. However, MPT can still be applied effectively by incorporating additional criteria, such as financial ratio analysis, to account for non-normal distributions and risk-averse investors. Overall, MPT provides a foundation for building diversified investment portfolios and has enduring relevance in the field of portfolio management.