Consider an agent who holds a stock, but is allowed to buy and hold some quantity of at-the-money put options on the stock. Such an agent must decide the optimal use of financial derivatives under trade restrictions. This paper uses simulation to compare the optimal quantity when the agent...

Conditional Value-at-Risk (CVaR) measures the expected loss amount beyond VaR. It has vast advantage over VaR because of its property of coherence. This paper gives an analytical solution in a complete market setting to the risk reward problem faced by a portfolio manager whose portfolio needs...

Empirical evidence suggests that asset returns correlate more strongly in bear markets than conventional correlation estimates imply. We propose a method for determining complete tail-correlation matrices based on Value-at-Risk (VaR) estimates. We demonstrate how to obtain more efficient...

In the paper, I simulate the social network games of a portfolio selection where agents consider VaR when managing their portfolios. Such agents behave quite differently from the agents considering only the expected returns of the alternatives that are available to them in time. The level of...

A model of bank’s dynamic asset management problem in case of partially observed future economic conditions and requirements concerning level of risk taken has been built. It requires solving the resulting optimal control with random terminal condition resulting from partial observation of...

Since the enactment of Pension Protection Act of 2006, lifecycle funds that reduce exposure to stocks with age have rapidly replaced money market funds as the most commonly nominated default investment options for participant-directed retirement plans. We examine their appropriateness in meeting...

We simulate social network games of a portfolio selection to analyze how knowledge, preferences of agents and their level of omniscience affect their decision-making. The key feature of the paper is that preferences and the level of omniscience of agents very much determine the ways agents make...

Evidence suggests that arbitragers exchange investment ideas. We analyze why and under what circumstances sharing occurs. Our model suggests that sharing ideas will lead to the following: more efficient asset prices, larger arbitrager profits, and correlated arbitrager returns. We predict that...

A social network has been used to simulate how agents of different levels of risk aversion under different circumstances behave in financial markets when deciding between risk-free and a risky asset. This is done by a discrete time version evolutionary game of risk-loving and risk-averse agents....

In the paper, I simulate the games with a joint presence of 95% VaR-rule and return-rule groups of agents in the game. Simulations highlighted the level of omniscience, next being the rule, which agents follow at the decision-making, and the third the presence of liquidity agents in the game....