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...

The notion of Net Present Value (NPV) is thought to formally translate the notion of economic profit, where the discount rate is the cost of capital. The latter is the expected rate of return of an equivalent-risk alternative that the investor might undertake and is often found by making...

This paper proposes a new way of decomposing net present values and net final values in periodic shares. Such a decomposition generates a new notion of residual income, radically different from the classical one available in the financial and accounting literature. While the standard residual...

This paper deals with the notion of residual income, which may be defined as the surplus profit that residues after a capital charge (opportunity cost) has been covered. While the origins of the notion trace back to the 19th century, in-depth theoretical investigations and widespread real-life...

Most socially responsible investment funds combine a sustainability objective with a tracking error constraint. We characterize the impact of a sustainability constraint on the mean-tracking error efficient frontier and illustrate this on a universe of US stocks for the period 2003–2010.

We prove a formula for the computation of optimal financial investments in an expected utility framework with arbitrary (not necessarily concave) utility functions. This extends classical results on optimal financial investments for strictly concave utility functions and is of importance...

The notion of Net Present Value (NPV) is thought to formally translate the notion of economic profit, where the discount rate is the cost of capital. The latter is the expected rate of return of an equivalent-risk alternative that the investor might undertake and is often found by making...

This paper presents a new way of measuring residual income, originally introduced by Magni (2000a, 2000b, 2003). Contrary to the standard residual income, the capital charge is equal to the capital lost by investors. The lost capital may be viewed as (a) the foregone capital, (b) the capital...