Arbitrage Bounds and the Time Series Properties of the Discount on UK Closed-End Mutual Funds

In a dataset of weekly observations over the period since 1990, the discount on UK closed-end mutual funds is shown to be nonstationary, but reverting to a nonzero long run mean. Although the long run discount could be explained by factors like management expenses etc., its short run ‡uctuations are harder to reconcile with an arbitrage-free equilibrium. In time series terms, they appear to exhibit heavily nonlinear behaviour, perhaps best represented by an Exponential Smooth- Transition Autoregressive (ESTAR) model.closed-end mutual funds, ESTAR, stationarity,

Arbitrage bounds and the time series properties of the discount on UK closed-end mutual funds

In a dataset of weekly observations over the period since 1990, the discount on UK closed-end mutual funds is shown to be nonstationary, but reverting to a nonzero long run mean. Although the long run discount could be explained by factors like management expenses etc., its short run �uctuations are harder to reconcile with an arbitrage-free equilibrium. In time series terms, there is evidence of long memory in discounts consistent with a bounded random walk. This conclusion is supported by explicit nonlinearity tests, and by results which suggest the behaviour of the discount is perhaps best represented by one of the class of Smooth-Transition Autoregressive (STAR) models

The Effects of Sentiment on Market Return and Volatility and The Cross-Sectional Risk Premium of Sentiment-affected Volatility

We construct investor sentiment of UK stock market using the procedure of principal component analysis. Using sentiment-augmented EGARCH component model, we analyse the impacts of sentiment on market excess return, the permanent component of market volatility and the transitory component of market volatility. Bullish sentiment leads to higher market excess return while bearish sentiment leads to lower excess return. Sentiment-augmented EGARCH component model compares favourably to the original EGARCH component model which does not take investor sentiment into account. Furthermore, we test the cross-sectional risk premia of the permanent and transitory components of sentiment-affected volatility in the framework of ICAPM

Structural breaks in the real exchange rate adjustment mechanism

We show that the behaviour of the real exchange rates of the UK, Germany, France and Japan has been characterised by structural breaks which changed the adjustment mechanism. In the context of a Time-Varying Smooth Transition AutoRegressive of the kind introduced by Lundbergh et al (2003), we show that the real exchange rate process shifted in the aftermath of Black Wednesday in the case of the Pound, in 1984-5 in the case of the Franc and, more tentatively, during the Asian crisis of 1997-8 in the case of the Yen

Dodging the steamroller: Fundamentals versus the carry trade

Although, according to uncovered interest rate parity, exchange rates should move so as to prevent the carry trade being systematically profitable, there is a vast empirical literature demonstrating the opposite. High interest currencies more often tend to appreciate rather than depreciate, as noted by Fama (1983). In this paper, we treat volatility as the critical state variable and show that positive returns to the carry trade are overwhelmingly generated in the low-volatility "normal" state, whereas the high-volatility state is associated with lower returns or with losses as currencies revert to the long run level approximated by their mean real exchange rate - in other words, purchasing-power parity (PPP) tends to reassert itself, at least to some extent, during periods of turbulence. We confirm these results by comparing the returns from three possible monthly trading strategies

Dodging the steamroller: fundamentals versus the carry trade

Although, according to uncovered interest rate parity, exchange rates should move so as to prevent the carry trade being systematically profitable, there is a vast empirical literature demonstrating the opposite. High interest currencies more often tend to appreciate rather than depreciate, as noted by Fama (1983). In this paper, we treat volatility as the critical state variable and show that positive returns to the carry trade are overwhelmingly generated in the low-volatility "normal" state, whereas the high-volatility state is associated with lower returns or with losses as currencies revert to the long run level approximated by their mean real exchange rate - in other words, purchasing-power parity (PPP) tends to reassert itself, at least to some extent, during periods of turbulence. We confirm these results by comparing the returns from three possible monthly trading strategies: the carry trade, a strategy which is long the undervalued and short the overvalued currencies (the "fundamental" strategy) and a mixed strategy which involves switching from carry trade to fundamentals whenever volatility is in the top quartile. The mixed strategy generates positive returns greater than for either of the pure strategies

Structural breaks in the real exchange rate adjustment mechanism

We show that the behaviour of the real exchange rates of the UK, Germany, France and Japan has been characterised by structural breaks which changed the adjustment mechanism. In the context of a Time-Varying Smooth Transition AutoRegressive of the kind introduced by Lundbergh et al (2003), we show that the real exchange rate process shifted in the aftermath of Black Wednesday in the case of the Pound, in 1984-5 in the case of the Franc and, more tentatively, during the Asian crisis of 1997-8 in the case of the Ye

The credit risk premium in a disaster-prone world

The seminal Barro (2006) closed-economy model of the equity risk premium in the presence of extreme events ("disasters") allowed for leverage in the form of risky corporate debt which defaulted only in states when the Government defaulted on its debt. The probability of default was therefore exogenous and independent of the degree of leverage. In this paper, we take the model a step closer reality by assuming that, on the one hand, the Government never defaults, and on the the other hand, that the "corporate sector" in the form of the Lucas tree owner pays its debts in full if and only if its asset value is sufficient, which is always the case in non-crisis states. Otherwise, in exceptionally severe crises, it defaults and hands over the whole "firm" to its creditors. The probability of default by the tree owner is thus endogenous, dependent both on the volume of debt issued (taken as exogenous) and on the uncertain value of output. We show, using data from both Barro (2006) and Barro and Ursua (2008), that the model can generate values of the riskless rate, equity risk premium and credit risk spread broadly consistent with those typically observed in the data

Rare disasters and the equity premium in a two-country world.

We extend the Barro (2006) closed-economy model of the equity risk premium in the presence of extreme events ("disasters") to a two-country world. In this more general setting, both the output risk of rare disasters and the associated risk of a default on Government debt, can be diversified. The extent to which agents in one country can diversify away the risk of extreme events depends on the relative size of the two countries, and critically on the probability of a disaster in one country conditional on a disaster in the other. We show that, using Barro�s own calibration in combination with a broad range of plausible values for the additional parameters, the model implies levels of the equity risk premium far lower than those typically observed in the data. We conclude that the model is unlikely to explain the equity risk premium