We consider a (B, S)-security market with standard riskless asset B(t) = B0ert and risky asset S(t) with stochastic volatility depending on time t and the history of stock price over the interval [t − τ, t]. The stock price process S(t) satisfies a stochastic delay differential equation (SDDE) with past-dependent diffusion coefficient. We state some results on option pricing in such a market an...

We use data from options and futures markets to recover the prices of dividend strips on the aggregate stock market. The price of a k-year dividend strip is the present value of the dividend paid in k years. The value of the stock market is the sum of all dividend strip prices across maturities. We study the asset pricing properties of strips and find that expected returns, Sharpe ratios, and v...

Data is an important resource, which through data science can yield many interesting insights and predictions. To utilize data, it needs to be collected, stored, preprocessed and modelled. The purpose of this project was to develop components that together form a simple datadriven stock trading system. Firstly, software to web scrape publicly available news and pricing data from the Swedish sto...

Time-varying risk premia (TVRP) is one of the four sources of stock return autocorrelation. TVRP arises in a securities market equilibriumwhen the equilibrium expected returns of the available investments vary over time; in particular, the presence of TVRP does not indicate pricing inefficiency. This paper provides equilibrium upper bounds on TVRP, as a function of the return period, the time h...

We investigate the optimal strategy over a finite time horizon for a portfolio of stock and bond and a derivative in an multiplicative Markovian market model with transaction costs (friction). The optimization problem is solved by a Hamilton-Bellman-Jacobi equation, which by the verification theorem has well-behaved solutions if certain conditions on a potential are satisfied. In the case at ha...

Capital Asset Pricing Model (CAPM) provides an equilibrium linear relationship between expected return and risk of an asset. The purpose of this paper is to investigate a risk-return relationship within the CAPM framework. The study also aims at exploring whether CAPM is a good indicator of asset pricing in Bangladesh. For this study, a period 19992003 have been considered. Fama-French [1992] m...

This paper is concerned with using stochastic approximation and optimization methods for stock liquidation decision making and option pricing. For stock liquidation problem, we present a class of stochastic recursive algorithms, and make comparisons of performances using stochastic approximation methods and that of certain commonly used heuristic methods, such as moving averaging method and mov...

We study a joint inventory and pricing problem in a single-stage system with a positive lead time. We consider both additive and multiplicative demand forms. This problem is, in general, intractable due to its computational complexity. We develop a simple heuristic that resolves this issue. The heuristic involves a myopic pricing policy that generates each period’s price as a function of the in...

In this work, we extend the applicability of regret minimization to pricing financial instruments, following the work of [10]. More specifically, we consider pricing a type of exotic option called a fixed-strike lookback call option. A fixed-strike lookback call option has a known expiration time, at which the option holder has the right to receive the difference between the maximal price of a ...

In this paper, the pricing of a European call option on the underlying asset is performed by using a Monte Carlo method, one of the powerful simulation methods, where the price development of the asset is simulated and value of the claim is computed in terms of an expected value. The proposed approach, applied in Monte Carlo simulation, is based on the Black-Scholes equation which generally def...