Retrospective on the Bubble Period and its Relationship to Developments in the 1990s

In reviewing what happened in the 1980s in Japan and how the bursting of the bubble created problems in the early 1990s, the following conclusions are obtained. (1) In order to limit damage to the economy from a bubble and its bursting, it is important to build a resilient financial system through strict supervision policy, so that asset‐price fluctuations would not weaken financial institutions. Supervision policy would include regulatory measures limiting lending concentration and exposure to real‐estate‐related sectors. (2) Monetary policy should pay attention to asset‐price movements. But it may be difficult and inappropriate to raise the interest rate sharply when inflation is low (below one per cent like in Japan), even though asset prices are increasing at 30–40 per cent. (3) The official discount rate could have been raised in the summer of 1988 in Japan, when the Federal Reserve and Bundesbank raised interest rates. This would have slowed down the rise of stock and land prices, but the bubble was already large by then. (4) The bubble in the second half of the 1980s was only partially responsible for the lost decade of the 1990s in Japan. A series of policy errors made a small problem of the burst bubble much bigger than necessary.     

Optimal monetary policy in a currency union with interest rate spreads

We introduce “financial imperfections” – asymmetric net wealth positions, incomplete risk-sharing, and interest rate spreads across member countries – in a prototypical two-country currency union model and study implications for monetary policy transmission mechanism and optimal policy. In addition to, and independent from, the standard transmission mechanism associated with nominal rigidities, financial imperfections introduce a wealth redistribution role for monetary policy. Moreover, the two mechanisms reinforce each other and amplify the effects of monetary policy. On the normative side, financial imperfections, via interactions with nominal rigidities, generate two novel policy trade-offs. First, the central bank needs to pay attention to distributional efficiency in addition to macroeconomic (and price level) stability, which implies that a strict inflation targeting policy of setting union-wide inflation to zero is never optimal. Second, the interactions lead to a trade-off in stabilizing relative consumption versus the relative price gap (the deviation of relative prices from their efficient level) across countries, which implies that the central bank allows for less flexibility in relative prices. Finally, we consider how the central bank should respond to a financial shock that causes an increase in the interest rate spread. Under optimal policy, the central bank strongly decreases the deposit rate, which reduces aggregate and distributional inefficiencies by mitigating the drop in output and inflation and the rise in relative consumption and prices. Such a policy response can be well approximated by a spread-adjusted Taylor rule as it helps the real interest rate track the efficient rate of interest.     

Approximation for convenience yield in commodity futures pricing

The pricing of commodity futures contracts is important both for professionals and academics. It is often argued that futures prices include a convenience yield, and this article uses a simple trading strategy to approximate the impact of convenience yields. The approximation requires only three variables—underlying asset price volatility, futures contract price volatility, and the futures contract time to maturity. The approximation is tested using spot and futures prices from the London Metals Exchange contracts for copper, lead, and zinc with quarterly observations drawn from a 25‐year period from 1975 to 2000. Matching Euro‐Market interest rates are used to estimate the risk‐free rate. The convenience yield approximation is both statistically and economically important in explaining variation between the futures price and the spot price after adjustment for interest rates. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:1005–1017, 2002     

Rational speculative bubbles in the gold futures market: An application of dynamic factor analysis

The existence of speculative bubbles in financial markets has been a longstanding issue under debate. Many financial economists believe that, given the assumption of rational expectations and rational behavior of economic agents, an asset should be priced according to its “market fundamentals.” Others argue that self‐fulfilling rumors of market participants can influence asset prices as well. These self‐fulfilling rumors are initiated by events extraneous to markets and are often called bubbles. The rationality of both expectations and behavior often does not imply that the price of an asset be equal to its fundamental value. In other words, there can be rational deviations of the price from this value—rational bubbles. A rational bubble can arise when the actual market price depends positively on its own expected rate of change, as normally occurs in asset markets. Since agents forming rational expectations do not make systematic prediction errors, the positive relationship between price and its expected rate of change implies a similar relationship between price and its actual rate of change. Under such conditions, the arbitrary, self‐fulfilling expectation of price changes may drive actual price changes independently of market fundamentals; we refer to such a situation as a rational price bubble.¹ © 2001 John Wiley & Sons, Inc. Jrl Fut Mark 21:79–108, 2001     

Real and Financial Sector Interaction Under Liberalization in an Open Developing Economy

A short‐run model incorporates instantaneous portfolio equilibrium with macroeconomic flows to clarify the structure of real–financial sector interactions. If equity and foreign exchange markets are introduced in structuralist theories of asset markets in developing countries, the key result that a fall in money supply raises the rate of inflation now holds only under special conditions on partial derivatives. But there is a tendency for interest rates to rise and for fluctuations in asset prices. Fuller integration of asset markets moderates these fluctuations. Outcomes are stable in spite of the generalized complementarity distinguishing equity markets from loan markets. Expectations play a major role. Implications for policy are to link domestic interest rates to foreign, remove artificial barriers to market integration, and stimulate demand as well as supply.     

Managing an Economy Under EMU: The Case of Ireland

Ireland's experience of limited monetary independence within the EMS indicated that such independence was bought at the price of significant risk premia on interest rates. This experience informed its decision to join EMU, and membership has resulted in the expected credibility gain. Since the start of EMU inflation in consumer prices in Ireland has risen well above the EU average. However, this need not be a matter of concern within a monetary union. Instead, what should concern the Irish administration is a high rate of inflation in wage rates and domestic asset prices chiefly housing. While monetary policy is no longer available as an instrument of domestic policy, fiscal policy can still be used to effectively target these problems. The lessons of the first three years of membership is that the focus of fiscal policy within Ireland needs to change, and that the EU institutions also need to focus more clearly on the needs of the Euro area rather than on those of individual regional economies.     

A state-dependent model of intermediate goods pricing

Recent analyses of transaction-level data sets have generated new stylized facts on price setting and greatly influenced the empirical open- and closed-economy macroeconomics literatures. This work has uncovered marked heterogeneity in price stickiness, demonstrated that even non-zero price changes do not fully “pass through” exchange rate shocks, and offered evidence of synchronization in the timing of price changes. Further, intrafirm prices have been shown to differ from arm's length prices in each of these characteristics. This paper develops a state-dependent model of price setting by strategic intermediate goods producers that anticipate and respond to their competitors' actions. The model, which allows for both arm's length and intrafirm transactions, is able to generate all of these empirical pricing patterns.     

ASSET PRICE BUBBLES IN INCOMPLETE MARKETS*

This paper studies asset price bubbles in a continuous time model using the local martingale framework. Providing careful definitions of the asset's market and fundamental price, we characterize all possible price bubbles in an incomplete market satisfying the “no free lunch with vanishing risk (NFLVR)” and “no dominance” assumptions. We show that the two leading models for bubbles as either charges or as strict local martingales, respectively, are equivalent. We propose a new theory for bubble birth that involves a nontrivial modification of the classical martingale pricing framework. This modification involves the market exhibiting different local martingale measures across time—a possibility not previously explored within the classical theory. Finally, we investigate the pricing of derivative securities in the presence of asset price bubbles, and we show that: (i) European put options can have no bubbles; (ii) European call options and discounted forward prices have bubbles whose magnitudes are related to the asset's price bubble; (iii) with no dividends, American call options are not exercised early; (iv) European put‐call parity in market prices must always hold, regardless of bubbles; and (v) futures price bubbles can exist and they are independent of the underlying asset's price bubble. Many of these results stand in contrast to those of the classical theory. We propose, but do not implement, some new tests for the existence of asset price bubbles using derivative securities.     

On the efficiency of monetary policy rules with flexible prices and rational expectations

The classic Sargent–Wallace–Lucas (SWL) rational expectations-flexible price model is usually interpreted as implying “policy ineffectiveness”: systematic monetary rules cannot affect the distribution of real output. A contrary but not widely-appreciated result of Dotsey and King suggests that there exist “prospective feedback” rules (future money depending systematically on current but as yet unobserved information) which improve output distribution by means of improving agents’ ability to perceive relative prices.We show the Dotsey–King proposition in fact to be a colossal understatement: prospective feedback rules applied vigorously enough (and even “contemporaneous feedback” rules based on current interest rates, provided at least one prospective feedback is active) can in the limit drive price-perception errors to zero. This is not to say such a policy would be desirable. Feedback parameter combinations that reduce current price level misperception tend to produce high forecast error variances with respect to future prices, with attendant loss in capital market efficiency. Whatever the desirable frontier among these different social cost-producing variables, feedback parameters will in general be needed in order to get on the frontier as well as to move along it. Monetary policy clearly produces social gain even in a version of this model which contains no elements of price “friction,” inefficient use of available information, or asymmetry in information as between the government and the public.     

Exchange rate overshooting,the trade balance,and rational expectations

This paper presents a model of exchange-rate determination characterized by imperfect asset substitutability between domestic and foreign bonds, sticky goods-market prices, and rational expectations. The model is used to analyze the response of the exchange rate to a step change in relative money supplies. The assumption of imperfect asset substitutability permits introduction into the analysis of trade flows which respond to relative price changes. These flows create non-monotonic exchange-rate adjustments to long-run equilibrium. These non-monotonic adjustments are consistent with rationality, and may lead to short-run undershooting or overshooting.     

US Fiscal Policy and Asset Prices: The Role of Partisan Conflict

Fiscal policy shocks exert wide‐reaching effects, including movements in asset markets. US politics have been characterized historically by a high degree of partisan conflict. The combination of increasing polarization and divided government leads not only to significant Congressional gridlock, but also to spells of high fiscal policy uncertainty. This paper adds to the literature on the relationships between fiscal policy and asset prices in the US economy conditional on the degree of partisan conflict. We analyze whether a higher degree of partisan conflict (legislative gridlock) reduces the efficacy of the effect and response of fiscal policy on and to asset price movements, respectively. We find that partisan conflict does not significantly affect the relationships between the fiscal surplus to gross domestic product (GDP) and housing and equity returns. Rather, if important, partisan conflict affects the actual implementation of fiscal policy actions.     

Human development effects of large changes in food prices: Does openness policy matter?

This paper analyses the effects of food price shocks on selected disaggregated human development indicators and investigates the role of openness policy in mitigating the adverse effects of large changes in food prices. Using a panel of 74 developing countries from 1980 to 2012, I find that positive food price shocks reduce life expectancy at birth both in the fixed-effect model and in the dynamic panel model while negative food price shocks do not seem to matter for this human development indicator in the static model but adversely affect it in the dynamic model. I also find that both positive and negative shocks have no effect on youth literacy rate; this probably means that households do not react to food price shocks by taking children out of school. Analysing the role of commercial openness, I find that openness policy enhances countries’ capacity to manage the adverse effects of food price shocks on life expectancy at birth. This suggests that the tempting policy option of reducing openness to trade during food price shocks is not an efficient choice as regards the human development. Countries must therefore set institutional arrangements that could prevent policy-makers from taking this inefficient policy option.     

ANALYTIC APPROXIMATIONS FOR MULTI‐ASSET OPTION PRICING

We derive general analytic approximations for pricing European basket and rainbow options on N assets. The key idea is to express the option’s price as a sum of prices of various compound exchange options, each with different pairs of subordinate multi‐ or single‐asset options. The underlying asset prices are assumed to follow lognormal processes, although our results can be extended to certain other price processes for the underlying. For some multi‐asset options a strong condition holds, whereby each compound exchange option is equivalent to a standard single‐asset option under a modified measure, and in such cases an almost exact analytic price exists. More generally, approximate analytic prices for multi‐asset options are derived using a weak lognormality condition, where the approximation stems from making constant volatility assumptions on the price processes that drive the prices of the subordinate basket options. The analytic formulae for multi‐asset option prices, and their Greeks, are defined in a recursive framework. For instance, the option delta is defined in terms of the delta relative to subordinate multi‐asset options, and the deltas of these subordinate options with respect to the underlying assets. Simulations test the accuracy of our approximations, given some assumed values for the asset volatilities and correlations. Finally, a calibration algorithm is proposed and illustrated.     

资产价格、通货膨胀与货币政策的动态分析:理论与中国实践

传统的CPI和GDP平减指数仅仅涵盖了普通商品和服务,股票和房地产等资产价格上涨的因素并不包括在内。随着现代金融的不断深化,通货膨胀与资产价格的内在关系越来越被人们所关注。虽然刚刚经历了2008年的金融危机,2009年房地产价格仍然不断快速上涨,有关泡沫的言论不断升温。探寻资产价格变化与通货膨胀预期的内在关系,完善货币政策对于资产价格的反应机制,对于维护经济金融的平稳发展意义重大。     

流动性视角下的非流通股定价策略分析

金融市场上的流动性对金融资产定价有重要作用。在Longstaff模型的基础上对“卖掉持有股票的权利”进行定价,可得出股票的流动性价格,进而得到非流通股的价格。通过分析可知非流通股的价格是禁售期的减函数,是流通股的增函数;股票的价格波动率越大,贷款利率与无风险利率的差越大,非流通股的价格是就越低;反之,非流通股的价格就越高。以我国股票市场的相关指数进行验证,上述结论依然成立。     

The Valuation Model for a Risky Asset When Its Risky Factors Follow Gamma Distributions

This paper constructed a pricing model for the asset with multi‐risks by specifying the risky factors (i.e., interest rate and termination hazard rates) to follow gamma distributions. The model not only avoids the possibility of the termination hazard rate taking an irrational (i.e., negative) value, but it also makes it easier to derive a valuation formula for a risky asset. Our model can also effortless apply because the parameters of the gamma distribution can easily be estimated from market data. An example using Taiwanese bond data illustrates how the model can be utilized for practical applications. To facilitate understanding of how accurately the different models price risky bonds, we compare their out‐of‐sample pricing errors for different hazard rate specifications assuming normal and gamma distributions. The results show that our pricing formula is realistic and accurate in its applications. Therefore, it should help market participants to accurately price risky assets and to effectively manage complicated portfolios.     

INDIFFERENCE PRICES AND IMPLIED VOLATILITIES

We consider a general local‐stochastic volatility model and an investor with exponential utility. For a European‐style contingent claim, whose payoff may depend on either a traded or nontraded asset, we derive an explicit approximation for both the buyer's and seller's indifference prices. For European calls on a traded asset, we translate indifference prices into an explicit approximation of the buyer's and seller's implied volatility surfaces. For European claims on a nontraded asset, we establish rigorous error bounds for the indifference price approximation. Finally, we implement our indifference price and implied volatility approximations in two examples.     

PRICE‐ADMISSIBILITY CONDITIONS FOR ARBITRAGE‐FREE LINEAR PRICE FUNCTION MODELS FOR THE TERM STRUCTURE OF INTEREST RATES

To assure price admissibility—that all bond prices, yields, and forward rates remain positive—we show how to control the state variables within the class of arbitrage‐free linear price function models for the evolution of interest rate yield curves over time. Price admissibility is necessary to preclude cash‐and‐carry arbitrage, a market imperfection that can happen even with a risk‐neutral diffusion process and positive bond prices. We assure price admissibility by (i) defining the state variables to be scaled partial sums of weighted coefficients of the exponential terms in the bond pricing function, (ii) identifying a simplex within which these state variables remain price admissible, and (iii) choosing a general functional form for the diffusion that selectively diminishes near the simplex boundary. By assuring that prices, yields, and forward rates remain positive with tractable diffusions for the physical and risk‐neutral measures, an obstacle is removed from the wider acceptance of interest rate methods that are linear in prices.     

Analysis of Bitcoin prices using market and sentiment variables

This paper proposes an empirical model for analysing the dynamics of Bitcoin prices. To do this, we consider a vector error correction model over two overlapping periods: 2010–17 and 2010–19. Price discovery is achieved through the Gonzalo–Granger permanent‐transitory decomposition. The pricing factors are endogenous linear combinations of the S&P 500 index, gold price, a Google search variable associated to Bitcoin and a fear index proxied by the FED Financial Stress Index. Our empirical analysis shows that during the first period, a linear combination of four pricing factors describes the efficient Bitcoin price. The S&P 500 index and Google searches have a positive effect whereas gold prices and the fear index have a negative effect. In contrast, during the second period, the efficient price behaves idiosyncratically and can be only rationalised by individuals' search for information on the cryptocurrency. These findings provide empirical evidence on the presence of a correction in Bitcoin prices during the period 2018–19 uncorrelated to market fundamentals. We also show that standard empirical asset pricing models perform poorly for explaining Bitcoin prices.     

MODELS OF COMPETITION BETWEEN FIRMS: ENDOGENOUS MARKET STRUCTURE IN THE KALECKIAN MODEL

The purpose of this paper is to incorporate free entry into the Kaleckian model. To this end, we consider a model with monopolistic competition, mark‐up pricing and a free‐entry condition. Using this model, the Kaleckian model is unstable under a wage‐led growth regime, and it is stable under a profit‐led growth regime, when the interest rate is supposed to be constant. Stability under a wage‐led growth can be achieved if the interest rate is allowed to respond positively to capacity utilization. We also find that a goods market policy, but not an income distribution policy, is then effective from an economic growth perspective.