Moments of renewal shot-noise processes and their applications

In this paper, we study the family of renewal shot-noise processes. The Feynmann–Kac formula is obtained based on the piecewise deterministic Markov process theory and the martingale methodology. We then derive the Laplace transforms of the conditional moments and asymptotic moments of the processes. In general, by inverting the Laplace transforms, the asymptotic moments and the first conditional moments can be derived explicitly; however, other conditional moments may need to be estimated numerically. As an example, we develop a very efficient and general algorithm of Monte Carlo exact simulation for estimating the second conditional moments. The results can be then easily transformed to the counterparts of discounted aggregate claims for insurance applications, and we apply the first two conditional moments for the actuarial net premium calculation. Similarly, they can also be applied to credit risk and reliability modelling. Numerical examples with four distribution choices for interarrival times are provided to illustrate how the models can be implemented.     

ETF Premiums and Liquidity Segmentation

Exchange traded funds (ETFs) provide a means for investors to access assets indirectly that may be accessible at a high cost otherwise. I show that liquidity segmentation can explain the tendency for ETFs to trade at a premium to net asset value (NAV) as well as the life‐cycle pattern in premiums. ETFs with larger NAV tracking error standard deviations (TESDs) tend to trade at higher premiums and the liquidity benefits offered by foreign ETFs and fixed income ETFs are revealed to be the most valuable to investors. Further tests validate that TESD has the desirable properties of a liquidity segmentation measure.     

The Effects of Productivity Shocks,Financial Shocks,and Monetary Policy on Exchange Rates: An Application of the Currency Crisis Model and Implications for Emerging Market Crises

What kind of shock affects exchange rate dynamics? How much of an effect does the monetary policy have on exchange rates? To answer these questions empirically based on the currency crisis model, I use panel data on 51 emerging countries from 1980 to 2011, identify shocks, and apply instrumental variable methods. I found that both productivity shocks and shocks to a country’s risk premium affect exchange rates and a 1 percentage point increase in the policy interest rate is associated with a 1 percentage point appreciation of domestic currency. I further apply this method to Asian and Latin-American crises.     

REAL OPTIONS AND THE CROSS‐SECTION OF EXPECTED STOCK RETURNS

This paper surveys the theoretical literature investigating the effect of firms’ investment flexibility on the cross‐section of expected stock returns. Real options analysis derives firms’ value‐maximizing investment policies as functions of exogenous fundamental drivers of profitability and calculates firms’ market values as functions of the same variables. These functions yield the relationship between expected stock returns and firm fundamentals. Several plausible explanations for the value premium – the high average stock returns earned by firms with high book‐to‐market ratios – emerge from this literature.     

Fair Value Measurements of Control Premiums

As the overview of the current state of research within this paper shows, the debate around fair value measurements is far from over. This paper analyzes fair value measurement requirements in a controversial scenario, namely when a control premium exists. The analyses of the paper show that, while measurement rules around control premiums could have a material impact on fair value measurements and the financial statements as a whole, significant fair value measurement issues remain unresolved. The conclusion is that fair value measurements should include or exclude control premiums consistently. It is argued that including control premiums for all fair value measurements is the most faithful representation of the underlying economic phenomenon. This paper contributes to the fair value measurement debate by comparing the merits of alternative fair value measurements for control premiums and highlights an area where researchers, investors, and other users should exercise caution when evaluating financial statements.     

Credibilistic risk aversion

In the probabilistic risk aversion approach, risks are presumed as random variables with known probability distributions. However, in some practical cases, for example, due to the absence of historical data, the inherent uncertain characteristic of risks or different subject judgements from the decision-makers, risks may be hard or not appropriate to be estimated with probability distributions. Therefore, the traditional probabilistic risk aversion theory is ineffective. Thus, in order to deal with these cases, we suggest measuring these kinds of risks as fuzzy variables, and accordingly to present an alternative risk aversion approach by employing credibility theory. In the present paper, first, the definition of credibilistic risk premium proposed by Georgescu and Kinnunen [Fuzzy Inf. Eng., 2013, 5, 399–416] is revised by taking the initial wealth into consideration, and then a general method to compute the credibilistic risk premium is provided. Secondly, regarding the risks represented with the commonly used LR fuzzy intervals, a simple calculation formula of the local credibilistic risk premium is put forward. Finally, in a global sense, several equivalent propositions for comparative risk aversion under the credibility measurement are provided. Illustrated examples are presented to show the applicability of the theoretical findings.     

Sovereign risk and belief-driven fluctuations in the euro area

Sovereign risk premia in several euro area countries have risen markedly since 2008, driving up credit spreads in the private sector as well. We propose a New Keynesian model of a two-region monetary union that accounts for this “sovereign risk channel.” The model is calibrated to the euro area as of mid-2012. We show that a combination of sovereign risk in one region and strongly procyclical fiscal policy at the aggregate level exacerbates the risk of belief-driven deflationary downturns. The model provides an argument in favor of coordinated, asymmetric fiscal stances as a way to prevent self-fulfilling debt crises.     

Sources of business fluctuations: Financial or technology shocks?

Despite the widespread belief that technology shocks are the main source of business fluctuations, recent empirical studies indicate that in the absence of financial frictions, a shock to the marginal efficiency of investment is the main source and is closely related to financial conditions for investment. We incorporate a financial accelerator mechanism and two types of financial shocks to the external finance premium and net worth in a dynamic stochastic general equilibrium model with shocks to the marginal efficiency of investment, the investment-good price markup, and the rates of neutral and investment-specific technological changes. This model is estimated using eleven US time series that include data on loan, net worth, the loan rate, and the relative price of investment. Our estimation results show that the (non-stationary) neutral and investment-specific technology shocks primarily drive output and investment fluctuations, while the external finance premium shock plays an important role for investment fluctuations. This financial shock induced substantial falls and subsequent sharp hikes in the external finance premium and caused boom–bust cycles over the past two decades.     

Floor-level premiums in private housing: the case of condominiums in Singapore

Using a sample consists of 3367 actual condominium sales transacted in resale market from May 2012 to April 2015 from the Singapore Urban and Redevelopment Authority, a hedonic pricing model is used to investigate for the presence of floor-level premiums in the private housing market, condominium, in District 23 of Singapore. Unit size, types of land tenure and the distance to the nearest mass rapid transit (MRT) station are also used as other independent variables. The estimated coefficient of each of these independent variables is statistically significant. Each of these independent variables also has positive estimated coefficient, suggesting that they have positive effects on condominium resale prices. Main findings are (a) there is a presence of floor-level premium; (b) the condominiums with a distance more than 400 m to the MRT station get higher resale prices; and (c) there is an increasing effect of floor level on condominium price.     

Revisiting the risk-return relation in the Chinese stock market: Decomposition of risk premium and volatility feedback effect

The empirical results of the risk-return relationship are mixed for both mature and merging markets. In this paper, we develop a new volatility model to revisit the risk-return relation of the aggregate stock market index by extending the Realized GARCH model of Hansen et al. (2012) with the Wang and Yang (2013) framework, in which the overall risk-return relation is decomposed into a risk premium and a volatility feedback effect. An empirical analysis of three major Chinese stock indices reveals positive risk premium and negative volatility feedback effect, and those findings are stable across different markets and sub-samples. However, their relative magnitudes differ between markets and varies through time.