Exchange Rate Exposure of Sectoral Returns and Volatilities: Evidence from Japanese Industrial Sectors

Most studies of exchange rate exposure of stock returns do not address three relevant aspects simultaneously. They are, namely: sensitivity of stock returns to exchange rate changes; sensitivity of volatility of stock returns to volatility of changes in foreign exchange market; and the correlation between volatilities of stock returns and exchange rate changes. In this paper, we employ a bivariate GJR-GARCH model to examine all such aspects of exchange rate exposure of sectoral indexes in Japanese industries. Based on a sample data of fourteen sectors, we find significant evidence of exposed returns and its asymmetric conditional volatility of exchange rate exposure. In addition, returns in many sectors are correlated with those of exchange rate changes. We also find support for the “averaged-out exposure and asymmetries” argument. Our findings have direct implications for practitioners in formulating investment decisions and currency hedging strategies.exchange rate exposure; asymmetric volatility spillovers; GARCH-type models; conditional correlation

Time-Varying Currency Betas: Evidence from Developed and Emerging Markets

This paper examines the conditional time-varying currency betas from five developed markets and four emerging markets. A trivariate BEKK-GARCH-in-mean model is used to estimate the timevarying conditional variance and covariance of returns of stock index, the world market portfolio and changes in bilateral exchange rate between the US dollar and the local currency of each country. It is found that currency betas are more volatile than those of the world market betas. Currency betas in emerging markets are more volatile than those in developed markets. Moreover, we find evidence of long-memory in currency betas. The usefulness of time-varying currency betas are illustrated by two applications.time-varying currency betas; multivariate GARCH-M models; international CAPM; fractionally integrated processes; stochastic dominance

A Multivariate GARCH Model with Time-Varying correlations

In this paper we propose a new multivariate GARCH model with time- varying correlations. We adopt the vech representation based on the conditional variances and the conditional correlations. While each conditional-variance term is assumed to follow a univariate GARCH formulation, the conditional-correlation matrix is postulated to follow an autoregressive moving average type of analogue. By imposing some suitable restrictions on the conditional-correlation-matrix equation, we construct a MGARCH model in which the conditional-correlation matrix is guaranteed to be positive definite during the optimisation. Thus, our new model retains the intuition and interpretation of the univariate GARCH model and yet satisfies the positive-definite condition as found in the constant-correlation and BEKK models. We report some Monte Carlo results on the finite-sample distributions of the MLE of the varying- correlation MGARCH model. The new model is applied to some real data sets. It is found that extending the constant-correlation model to allow for time-varying correlations provides some interesting time histories that are not available in a constant-correlation model.BEKK model, constant correlation, Monte Carlo method, multivariate GARCH model, maximum likelihood estimate, varying correlation

Volatility Dynamics in Foreign Exchange Rates: Further Evidence from the Malaysian Ringgit and Singapore Dollar

Singapore dollar are analyzed in this paper. Our approach can simultaneously capture the empirical regularities of persistent and asymmetric effects in volatility and timevarying correlations of financial time series. Consistent with the results of Tse and Tsui (1997), there is only some weak support for asymmetric volatility in the case of the Malaysian ringgit when the two currencies are measured against the US dollar. However, there is strong evidence that depreciation shocks have a greater impact on future volatility levels compared with appreciation shocks of the same magnitude when both currencies measured against the yen. Moreover, evidence of time-varying correlation is highly significant when both currencies are measured against the yen. Regardless of the choice of the numeraire currency and the volatility models, shocks to exchange rate volatility are found to be significantly persistent.Constant correlations; Exchange rate volatility; Fractional integration; Long memory; Bivariate asymmetric GARCH; Varying correlations

Medical Savings Accounts in Singapore: How much is adequate?

While many studies have examined the cost-containment aspect of Medical savings accounts (MSA), few have investigated the adequacy of MSA to finance the health care expenditure. This paper estimates the present value of lifetime healthcare expenses (PVHE) of the Singaporean male and female elderly upon retirement at age 62. The estimation involves calibrating the stream of future healthcare expenditure; stochastic forecasting of cohort survival probabilities; and discounting the projected lifetime healthcare expenditure. Estimated values of the PVHE under various scenarios are used to assess the adequacy of the government-decreed minimum saving to be maintained in the MSA.medical savings accounts, present value of lifetime health care expense, cohort survival probabilities

A Multivariate GARCH Model with Time-Varying Correlations

In this paper we propose a new multivariate GARCH model with time-varying correlations. We adopt the vech representation based on the conditional variances and the conditional correlations. While each conditional-variance term is assumed to follow a univariate GARCH formulation, the conditional-correlation matrix is postulated to follow an autoregressive moving average type of analogue. By imposing some suitable restrictions on the conditional-correlation-matrix equation, we manage to construct a MGARCH model in which the conditional-correlation matrix is guaranteed to be positive definite during the optimisation. Thus, our new model retains the intuition and interpretation of the univariate GARCH model and yet satisfies the positive-definite condition as found in the constant-correlation and BEKK models. We report some Monte Carlo results on the finite-sample distributions of the QMLE of the varying-correlation MGARCH model. The new model is applied to some real data sets. It is found that extending the constant-correlation model to allow for time-varying correlations provides some interesting time histories that are not available in a constant-correlation model.

Monetizing Housing Equity to Generate Retirement Incomes

The public housing program and the unique way of financing housing through the mandatory savings system in Singapore have created a class of homeowners. This paper compares the instruments available to different flat owners to monetize their assets, including the Lease Buyback Scheme (LBS), subletting, downsizing and reverse mortgage. We estimate the present value of retirement incomes derived from these options by incorporating the survival probability which is forecasted using the Lee-Carter demographic model. We compare the monthly payouts that can be unlocked and discuss the tradeoffs of adequate retirement with the elderly preference for leaving a bequest and ageing in place. Our results show that LBS is the most attractive option. It allows the elderly to age-inplace while generating a steady stream of monthly drawdown and possibility of leaving a bequest. Subletting releases housing equity while retaining the asset. This helps the elderly to fulfill their bequest motive. Reverse mortgage is the least attractive option, yielding the lowest retirement income due to high loading factors.

Measuring Asymmetry and Persistence in Conditional Volatility in Real Output: Evidence from Three East Asian Tigers Using a Multivariate GARCH approach

We search for evidence of conditional volatility in the quarterly real GDP growth rates of three East Asian tigers: Singapore, Hong Kong and Taiwan. The widely accepted exponential GARCH-type model is used to capture the existence of asymmetric volatility and the potential structural break points in the volatility. We find evidence of asymmetry and persistence in the volatility of GDP growth rates. It is noted that the identified structural breakpoints of volatility correspond reasonably well to the historical economic and political events in these economies. Policy implications are discussed.East Asia, Real Output, GARCH, structural changes, asymmetric volatility

Volatility timing in CPF investment funds in Singapore: Do they outperform non-CPF funds?

The purpose of this study is to examine the volatility-timing performance of Singapore-based funds under the Central Provident Fund (CPF) Investment Scheme and non-CPF linked funds by taking into account the currency risk effect on internationally managed funds. In particular, we empirically assess whether the funds under the CPF Investment Scheme outperform non-CPF funds by examining the volatility-timing performance associated with these funds. The volatility-timing ability of CPF funds will provide the CPF board with a new method for risk classification. We employ the GARCH models and modified factor models to capture the response of funds to market abnormal conditional volatility including the weekday effect. The SMB and HML factors for non- US based funds are constructed from stock market data to exclude the contribution of the size effect and the BE/ME effect. The results show that volatility timing is one of the factors contributing to the excess return of funds. However, funds’ volatility-timing seems to be country-specific. Most of the Japanese equity funds and global equity funds under the CPF Investment Scheme are found to have the ability of volatility timing. This finding contrasts with the existing studies on Asian, ex-Japan funds and Greater China funds. Moreover, there is no evidence that funds under the CPF Investment Scheme show a better group performance of volatility timing

Modelling the volatility-timing of funds under CPF investment theme

The performance measure of funds has been an important topic in the past few decades. In recent years the conditional models on return and volatility have become popular in studying the funds’ performance measure, but most of these studies focus on the US funds and a few on the Asian-based funds. The purpose of this study is to examine the volatility-timing performance of Singapore-based funds under the CPF (Central Provident Fund) Investment Scheme and non-CPF linked funds by taking into account of the currency risk effect on internationally managed funds. The CPF investment scheme was introduced in 1986 by the Singapore government in order to enhance CPF members’ funds for retirement. CPF members usually withdraw money for house purchase, while male and high income earners involve in more risky investment with their CPF saving. The CPF board sets up strict admission criteria for investment products, especially for funds which tend to enter the CPF investment scheme. Fund management companies with intention to enter the CPF Investment must have at least S$500 million fund managed in Singapore with minimum three fund managers. One of fund managers must have at least 5 year experience in fund management. Moreover, foreign funds recognized by the Monetary Authority of Singapore (MAS) are allowed to apply for the inclusion of CPF investment scheme, provided that they are a member of the Investment Management Association of Singapore and also have to submit a representative agreement of foreign funds or their mangers. There are 28 fund management companies under the current CPF investment scheme. Since 1 February 2006, the revised benchmark requires new-entry funds to be above the top 25% among their global peers. Compared with the existing funds within the risk level under CPF Investment Scheme, new funds are also required to have lower-than-median expense ratio. A good historical performance for at least 3 years is desirable. In addition, sales charges for fund under CPF Investment Scheme must be less than 3% from 1 Jul 2007. Given the strict entry criteria, it is an interesting question to ask if the CPF funds are “safer and better performed funds” as people expected. In this study we empirically assess whether the funds under CPF Investment Scheme outperform non-CPF funds by examining the volatility-timing performance associated with these funds. The volatility-timing ability of CPF funds will provide CPF board with a new method for risk classification. In particular, we employ the GARCH models and modified factor models to capture the response of funds to the market abnormal conditional volatility including the week day effect. The SMB and HML factors for non-US based funds are constructed from stock market data to exclude the contribution of size effect and BE\ME effect. The results show that volatility timing is one of the factors contributing to the excess return of funds. However, the funds’ volatility-timing seems to be country-specific. Most of the Japanese equity funds and global equity funds under CPF investment scheme are found to have the ability of volatility timing. This finding contrasts with the existing studies on Asian ex-Japan funds and Greater China funds. Moreover, there is no evidence that funds under CPF Investment Scheme show a better group performance of volatility timing