Box A: Declining Volatility in Global Asset Markets As derivative markets have become more liquid and the use of instruments such as options more widespread, it has become increasingly possible to use information from these instruments to analyse underlying asset markets. For example, pricing of options on equity, fixed-interest or foreign exchange instruments contains information about the respective derivatives markets’ assessment of current conditions and expected future price movements in the underlying markets. In this box we use the implied volatility of options1 to contrast fixed-interest and equity markets, where implied volatility has declined noticeably, with foreign exchange markets where volatility has not fallen as sharply. Implied volatilities of the major equity indices have declined % % United States Euro area substantially since the start of 2003 55 55 (Graph A1). The high volatility 45 45 seen over 2002 reflected heightened 35 35 DAX 30 S&P 500 uncertainty about the global 25 25 15 15 economic outlook following the US % % recession, corporate malfeasance, Japan Australia 55 55 Nikkei 225 the unwinding of the equity market 45 45 bubble and the war in Iraq. Volatility 35 35 ASX 200 moderated as major equity indices 25 25 15 15 began to rebound, corporate profits 5 l l l l l l l l l l l l l l l l l l l l l l l l l l 5 staged a strong recovery, and the 1995 2000 2005 1995 2000 2005 Sources: Bloomberg; RBA; SFE general economic outlook improved. The recent levels of implied volatilities for the three major overseas equity markets are low, but not unprecedented. Implied volatilities in the US and Europe have returned to levels that were typical between 1992 and 1996. Implied volatility in Japan, despite its recent fall, remains well above the lows reached in 1994. In contrast, the implied volatility of Australian equities is at an all-time low. Graph A1 Implied Volatility of Equity Index Returns Implied volatilities in fixed-interest markets have also declined significantly, with the volatilities of shorter-term instruments falling by more than those of longer dated ones (Graph A2). Implied volatilities gradually declined around the world in the second half of 2003, as it became clearer 1 The expected future volatility of the underlying asset is one of the most important determinants of the option price. There is a higher chance that an option will provide a larger payoff when the future volatility of the underlying asset is higher, because it is more likely that the price of the underlying asset will move more in favour of the option buyer while at the same time the option buyer is not exposed to the adverse movements in the price. Therefore, option prices are higher when the expected future volatility is higher. The implied volatility is the value of the volatility that equates the market price of an option to its theoretical value. Implied volatility is higher when the option price and the expected volatility are higher. As a matter of convention, the prices of options traded in over-the-counter markets are quoted in terms of the option implied volatility rather than in monetary units. 22 R E S E R V E B A N K O F A U S T R A L I A that the easing cycle was drawing to a close, with some central banks beginning to tighten monetary policy after a prolonged period of relatively low and stable interest rates. It is possible that a large part of the decline in implied volatilities of interest rates can be attributed to reduced uncertainty about the future path of monetary policy at that turning point. Graph A2 Implied Volatility of Changes in Swap Rates 1-year options Bps United States Bps Euro area 160 160 120 120 80 80 40 40 Bps Japan Bps Australia 160 160 120 120 10-year rate 80 80 There appears to be little evidence 40 40 1-year rate that the compression of volatilities l l l l l l l l l l l l l l l l 0 0 1997 2001 2001 2005 2005 in equity and debt markets is being Sources: Bloomberg; RBA driven by an increased willingness to supply (write) options. If options writers were underpricing options in order to try to expand their activities, then implied volatility would be persistently below the subsequently realised volatility of the underlying assets over the life of the options. But recently, implied volatilities have generally moved in line with realised volatilities across the major global asset markets. In January 2002 the US dollar reached a multi-year high on a trade-weighted basis against the major floating currencies. Since then, developments in implied volatilities of currencies against the US dollar have been mixed. Some currencies, such as the Australian and Canadian dollars, have seen increases in both short- and long-term implied volatilities. But for other currencies, such as the euro and the yen, implied volatilities remain broadly unchanged (Graph A3). Overall, implied volatilities of foreign exchange rates Graph A3 have exhibited a less clear trend than those observed in equity and fixedImplied Volatility of Currency Returns against US Dollar interest markets. % In general, recent developments in option markets indicate an expectation of continued low volatility in equity and bond markets, but continuing uncertainty in foreign exchange markets. Despite these developments, it is possible that the recent low level of realised volatility may have led markets to become a little complacent and hence the low implied volatility may not reflect future risks in these markets. R Euro % Yen * 20 20 15 15 10 10 5 5 % British pound % Australian dollar 20 1-month option 15 15 10 10 1-year option 5 0 20 l l l l 1997 l l l l 2001 l l l l l 2005 l l 2001 5 l l l 0 2005 * Peak at 40% Source: JPMorgan S T A T E M E N T O N M O N E T A R Y P O L I C Y | F E B R U A R Y 2 0 0 5 23