Purpose – Leveraged exchange traded funds (ETFs) have become increasingly popular since their introduction in 2006. In recent years, options on leveraged ETFs have been promoted as a means of enhancing returns and reducing risk. The purpose of this paper is to examine the interchangeability of S&P 500 ETF options with leveraged S&P 500 ETF options and to what extent these options allow investors to manage their risk exposure. Design/methodology/approach – With increasing liquidity for these fund’s options, simple option strategies such as covered calls and protective puts can be implemented. This study derives call-call and put-put parity between options on the underlying index and the associated leveraged ETFs. The paper examines comparative measures of return and risk on the underlying indices, along with covered call and protective put positions. Findings – Using the formulations derived, this study shows options on non-leveraged ETFs or on the underlying index can be substituted for leveraged ETF options. Empirical results suggest substituting options on leveraged ETFs with options on the underlying index or index ETF give comparable results, but can differ as the realized leverage ratio over time differs from projected values. Originality/value – This study is the first to the authors’ knowledge that investigates option strategies on leveraged and inverse ETFs of equity indices. It is also the first to derive call-call and put-put parity relations between options on ETFs and related leveraged and inverse ETFs. The results contribute to securities issuance, investment strategies, and option parity relations.

This paper proposes a large Bayesian Vector Autoregressive (BVAR) model with common stochastic volatility to forecast global equity indices. Using a dataset consisting of monthly data on global stock indices the BVAR model inherently incorporates co-movements in the stock markets. The time-varying specification of the covariance structure moreover accounts for sudden shifts in the level of volatility. In an out-of-sample forecasting application we show that the BVAR model with stochastic volatility significantly outperforms the random walk both in terms of root mean squared errors as well as Bayesian log predictive scores. The BVAR model without stochastic volatility, on the other hand, underperforms relative to the random walk. In a portfolio allocation exercise we moreover show that it is possible to use the forecasts obtained from our BVAR model with common stochastic volatility to set up simple investment strategies. Our results indicate that these simple investment schemes outperform a naive buy-and-hold strategy. (authors' abstract) / Series: Department of Economics Working Paper Series

This thesis aims to investigate the benefits of international diversification from a Swedish perspective. It presents a comparative study of the performance of different portfolios based on their degree of international diversification with a focus on Swedish investors frame of reference. Such a study is motivated by the contradictory literature about portfolio diversification and information portfolio theory that advocate for a more concentrated portfolio. It focuses solely on comparing portfolios constituted with major indices of a representative sample including countries from different parts of the world. The different scales of those portfolios start from a divided part of the Swedish economy to end with a global portfolio. We observed that international diversification can outperform the domestic portfolios when considering risk and return. In addition, we observed that the best performing portfolios over the periods are systematically concentrated on emerging countries and that the high return of those emerging countries is often not associated with a correspondingly high standard deviation as it should be expected. The best levers of performance that we identified as a result of this comparative study are, first, the strategy consisting in focusing on the most concentrated portfolios in order to maximize the return and then trying to time the market, thanks to a specialized information collection strategy, but this bear a high undiversifiable risk. Or second, adopting an intentionally diversified portfolio and collecting information about the most promising emerging markets that will be then over weighted in the portfolio to lower the risk and higher the return. Lastly, the study recommend that home-biased investors should change their behavior and consider international investments when building a portfolio.