Transaction-cost models in continuous-time markets are considered. Given that investors decide to buy or sell at certain time instants, we study the existence of trading strategies that reach a certain final wealth level in continuous-time markets, under the assumption that transaction costs,...

We consider the pricing of products that combine insurance with investments, known as variable annuities. We have visited in the past the problem when the premium is paid with a single instalment and the cost of insurance is collected either at the beginning of the policy or periodically. We...

Most of the currently known option pricing techniques utilize the underlying asset price and strike price, its volatility and time to maturity, as well as the risk freerate. However, both the volatility and the risk-free rate are anticipated via the price move of the underlying asset. Looking at...

The number of deviations of a Geometric Brownian Motion with drifts from its extreme points is considered. The properties of these deviations are studied. As an application based on these results, the time instants at which investors decide to buy or sell are examined, when the price of an asset...

The pricing of a series of products that combine insurance with investments, known as variable annuities, is considered. Given that there is a single premium instalment, then the death benefit at the time of death is equal to the maximum between the fund value and the sum assured. We have...