How to Discount Cashflows with Time‐Varying Expected Returns

US risk premia under emerging markets constraints

This paper examines whether and how differences in investors' information environments (measured by a country's information disclosure, accounting standards, and financial transparency) are related to cross-country differences in the market risk premium volatility. We use the vector-autoregressive and implied cost of capital methods to extract time variation in risk premiums for 41 developed and emerging markets worldwide. Consistent with theoretical predictions, countries with better information environments tend to experience a lower risk premium volatility, even after controlling for various country variables that are potentially associated with variation in risk premiums. Our analysis of two exogenous events, specifically the 1997 Asian financial crisis and 2008 global financial crisis, further corroborates our key finding that information environments play an important role in explaining market risk premium variability.This paper was accepted by Wei Xiong, finance.

When people agree to disagree, the impact of the disagreement among agents on the market is the main concern of this paper. With the standard mean variance framework, this paper considers a market of two risky assets and two agents who have different preference and disagreement about the mean and variance/covariance of the asset returns. By constructing a consensus belief, the paper develops an concept of boundedly rational equilibrium (BRE) to characterize the market equilibrium and examines explicitly the impact of heterogeneity on the market equilibrium and risk premium when the disagreements among the two agents are mean preserved spreads of a benchmark homogeneous belief. It shows that, in market equilibrium, the biased mean preserved spreads in beliefs among the two agents have significant impact on the risk premium of the risky assets and market portfolio, and adding a riskless asset in the market magnifies the impact of the heterogeneity on the market. The results show that both optimism/pessemism and confidence/doubt can increase the market risk premium and reduce the riskfree rate.

Investors having an understanding of investment statistics are important. Especially quantitative tools related to investment risk measurement. Value-at-Risk Adjusted is one of the investment risk measurement tools, which assumes that returns are not normally distributed.This paper intends to measure investment risk based onValue-at-Risk Adjustedor called Modified Value-at-Risk under the Capital Asset Pricing Model. It is assumed that the return of the market index has a non-constant average and there is a long memory effect. The average of the return of the market index is estimated using ARFIMA models.It is also assumed that the stock risk premium correlates with market risk premiums, and stock risk premiums some time before. The correlation will be analyzed using the ARMAX-GARCH model approach. The Modified Value-at-Risk was then formulated based on the Capital asset Pricing Model with the ARMAX-GARCH model approach.To measure the performance of Modified Value-at-Risk that has been formulated is done with back testing. Back testing is carried out based on the Lopez II method. As a case study, analyzed some data on 10 stocks traded on the capital market in Indonesia.The results of the analysis show that the market index return risk premium significantly follows the ARFIMA model, and the 10 share risk premium significantly follows the ARMAX-GARCH model. Based on the results of back testing calculations indicate that the Value-at-Risk Adjustedor Modified Value-at-Risk is very suitable to be used to measure investment risk in the 10 stocks analyzed.

Required Market Risk Premium among countries in 2012

The purpose of the work is to examine the relationship between market risk premium and default. The research hypothesis assumes that the amount of the market risk premium significantly affects the level of the estimated probability of default of the company. The analysis was carried out using the example of the largest capital markets in the European Union and GFCI within the period from 1 January 2012 to 31 December 2018. Time series of the 20 most important stock market indices of non-financial companies representing all continents were applied in the empirical study. The largest non-financial companies, with regard to assets held as of 1 January 2012, listed on particular capital markets and included in the analyzed stock indices, one for each index, were included in the study. The following research methods were applied: the CAPM equilibrium model, Sharpe’s market asset value ratio and the market value of the corporate equity. The empirical study used time series of the 20 most important stock market indices of non-financial companies representing the analyzed markets. As a result of the analysis, the following research conclusion was established: the final value of companies from the GFCI area does not prove any significant difference with regard to their value before considering the risk premium. In the case of the EU market, this difference is significant. This means that capital markets with weaker capital and poorer, less stable economic conditions are less able to face market risk

This paper develops an intertemporal, international asset pricing model for use in applied theoretical and empirical research. An important feature of the model is that it incorporates both stochastic inflation rates and stochastic Purchasing Power Parity deviations (PPP). The model derives the equilibrium real return on assets, and obtains empirically tractable reduced form equations which can be used to examine such issues as capital market segmentation, currency substitution, exchange rate volatility, and the forward exchange market's risk premium. Mechanically, the model begins as a system of stochastic differential equations which describe the dynamic paths of a vector of state variables, prices, and PPP deviations. The state variables' intertemporal development determines the production and credit opportunities, and provides the model's fundamental dynamic nature. The model is shown to be consistent with the domestic-general equilibrium asset pricing models of Cox, Ingersoll, and Ross (1985) and Brock (1982). The model is applied to pricing forward exchange, and an empirically tractable equation of the risk premium is derived which will allow researchers to uncover the risk premium's economic determinants.

This paper aims to analyse the impact of behavioural biases on asset pricing by hypothesising that sentiment and momentum are relevant risk factors in Pakistan equity market. The paper also examines the influence of sentiment and momentum factors on market risk, size, and value premiums by estimating the interacted asset-pricing model. To carry out the empirical analysis, monthly stock returns of firms listed on Pakistan Stock Exchange are used for the period 2000–2013. The empirical results indicate that both investor sentiment and momentum factors have a significant impact on the required rate of returns. Specifically, it is found that the premium for both factors is positive and statistically significant. Further, the estimated results provide evidence that the inclusion of these two factors in the Fama-French three-factor model considerably increases the prediction power of the model. The results also reveal that the inclusion of sentiment factor in the Carhart four-factor model significantly increases the prediction power of the model. Yet, the estimation results indicate that the prediction power of the model further increases when the interaction terms are added to the model in order to examine the indirect effects of sentiment and momentum. The results of the interacted model provide evidence of a significant impact of investor sentiment and momentum factors on market risk, size, and value premiums. Although investor sentiment negatively affects all the three premiums, the effect of momentum is positive for both market risk and size premium, whereas, it is negative for value premium. The findings are helpful in explaining and understanding the effects of behavioural biases on stock returns in Pakistan. The findings of the indirect effects suggest that investor sentiment and momentum factors significantly increase the chance of mispricing in Pakistan equity market.

Market Risk Premium and Risk-Free Rate used for 59 Countries in 2018: A Survey

This study investigates the explanatory capacity of macroeconomic variables on the stock market risk premiums of Australia, Germany, Japan, the United Kingdom and the United States of America. The results display that the markets are significantly related to the movements of the world marketplace, and that the incremental explanatory capacity of individual economic factors over this effect is minimal. Several macroeconomic variables are significantly related to market risk premia at differing points in time and on differing economies, although these variables fail to consistently explain risk premia either across markets or across time. The results are consistent with the capital asset pricing model in so far as the world marketplace encompasses the individual stock markets. The results are also consistent with the market integration hypothesis.

In this paper we provide a framework that explains how the market risk premium, defined as the difference between forward prices and spot forecasts, depends on the risk preferences of market players and the interaction between buyers and sellers. In commodities markets this premium is an important indicator of the behavior of buyers and sellers and their views on the market spanning between short-term and long-term horizons. We show that under certain assumptions it is possible to derive explicit solutions that link levels of risk aversion and market power with market prices of risk and the market risk premium. We apply our model to the German electricity market and show that the market risk premium exhibits a term structure which can be explained by the combination of two factors. Firstly, the levels of risk aversion of buyers and sellers, and secondly, how the market power of producers, relative to that of buyers, affects forward prices with different delivery periods.

Variance risk in aggregate stock returns and time-varying return predictability

As a consequence of optimal investment choices, a firm's assets and growth options change in predictable ways. Using a dynamic model, we show that this imparts predictability to changes in a firm's systematic risk, and its expected return. Simulations show that the model simultaneously reproduces: (i) the time‐series relation between the book‐to‐market ratio and asset returns; (ii) the cross‐sectional relation between book‐to‐market, market value, and return; (iii) contrarian effects at short horizons; (iv) momentum effects at longer horizons; and (v) the inverse relation between interest rates and the market risk premium.

This paper examines two arguments presented in Gray and Hall (2006). First, that the generally used estimate of 0.06 for the market risk premium within the Officer version of the capital asset pricing model (CAPM) and the generally used estimate of 0.50 for the parameter ‘gamma’ within the Officer framework are jointly inconsistent with evidence concerning the market risk premium in the standard version of the CAPM. Second, that the first two of these parameter estimates are also jointly inconsistent with the observed cash dividend yield on the Australian market. To resolve these problems, Gray and Hall recommend setting gamma to zero. The present paper shows that the first argument does not account for the fact that imputation induces a reduction in the market risk premium as defined in the standard version of the CAPM. The present paper also shows that both arguments identify a problem that characterizes only parts of the Officer framework, and these parts are not generally used in Australia. Therefore, rather than suggesting that gamma should be zero, Gray and Hall's analysis identifies parts of the Officer framework that should be avoided.

Speculation, risk aversion, and risk premiums in the crude oil market