Option Pricing and Replication with Transactions Costs

Transactions costs invalidate the Black-Scholes arbitrage argument for option pricing, since continuous revision implies infinite trading. Discrete revision using Black-Scholes deltas generates errors which are correlated with the market, and do not approach zero with more frequent revision when transactions costs are included. This paper develops a modified option replicating strategy which depends on the size of transactions costs and the frequency of revision. Hedging errors are uncorrelated with the market and approach zero with more frequent revision. The technique permits calculation of the transactions costs of option replication and provides bounds on option prices.     

Exchange rate risk and transactions costs: Evidence from bid-ask spreads

This paper develops a model of exchange rate bid-ask spreads which is used to examine the relationship between exchange rate risk and volatility and to measure transactions costs. The empirical results indicate that market-makers judge the probability of exchange rate changes based on both recent and long-term volatility and that the second moment alone is not a complete measure of volatility. While a proxy for trading volume does not have the expected relationship with spreads, weekend and holiday effects conform to theory. Transactions costs vary over time and seem responsive to the imposition of exchange controls.     

Transactions Costs and Capital Structure Choice: Evidence from Financially Distressed Firms

This study provides evidence that transactions costs discourage debt reductions by financially distressed firms when they restructure their debt out of court. As a result, these firms remain highly leveraged and one-in-three subsequently experience financial distress. Transactions costs are significantly smaller, hence leverage falls by more and there is less recurrence of financial distress, when firms recontract in Chapter 11. Chapter 11 therefore gives financially distressed firms more flexibility to choose optimal capital structures.     

Geography and acquirer returns

We examine the impact of geographical proximity on the acquisition decisions of US public firms over the period 1990–2003. Transactions where the acquirer and target firms are located within 100 km of each other are classified as local transactions. We find that acquirer returns in local transactions are more than twice that in non-local transactions. The higher return to local acquirer is not explained by related, either horizontal or vertical, industry transactions, and appears to be related to information advantages arising from geographical proximity. These information advantages facilitate acquisition of targets that, on average, create higher overall return. The higher return to local acquirers is preserved by the use of target termination fee contracts.     

The Use of Electronic Funds Transfers to Capture the Effects of Cash Management Practices on the Demand for Demand Deposits: A Note

The rapidly increasing use of more sophisticated cash management practices is a factor influencing the demand for money that is not considered in standard models of money demand. Within the framework of an inventory theoretic model of money demand, this paper provides theoretical grounds for using the number of electronic funds transfers as an indication of increasing cash management sophistication. Specifically, the demand for demand deposits is determined from the solution of a simultaneous equation system that also determines the optimal level of cash management. Therefore, the level of cash management services influences transactions costs, implying that transactions costs are endogenous. The number of electronic funds transfers is closely linked to the level of cash management services and is therefore related to transactions costs. Models of money demand that treat transactions costs as exogenous and fixed are therefore misspecified and will not perform well when transactions costs are changing. By explicitly incorporating the changing nature of transactions costs through the use of electronic funds transfers, the problems of instability and poor predictive power associated with the demand for money in the 1970's are overcome.     

On expectations,term premiums and the volatility of long-term interest rates

Shiller has shown that the variance of the holding-period yield on long-term bonds may frequently exceed a bound implied by the rational expectations model of the term structure. This paper extends Shiller's variance inequality to allow for the possible presence of time-varying term premiums. The paper then explores the question of whether term premiums, or perhaps transactions costs, are likely to reverse prior findings of excess volatility.     

Smoothing with liquid and illiquid assets

A quantitative examination of the demand for liquid assets arising from consumption smoothing motives reveals that such demand is very low. Consumers faced with income streams calibrated to match income and unemployment data and returns and transactions costs calibrated to match US Treasury Bill data almost exclusively buy and hold illiquid long term assets even though the return premium on long term assets is quite small. This is because, with standard preferences, savings are highly persistent even when risky income is not. In the calibrated model, the first order autocorrelation of savings is an order of magnitude larger than that of income.     

Liquidity and Autocorrelations in Individual Stock Returns

This paper documents a strong relationship between short‐run reversals and stock illiquidity, even after controlling for trading volume. The largest reversals and the potential contrarian trading strategy profits occur in high turnover, low liquidity stocks, as the price pressures caused by non‐informational demands for immediacy are accommodated. However, the contrarian trading strategy profits are smaller than the likely transactions costs. This lack of profitability and the fact that the overall findings are consistent with rational equilibrium paradigms suggest that the violation of the efficient market hypothesis due to short‐term reversals is not so egregious after all.     

Accounting for Intangibles: A Theoretical Perspective

This paper uses a transactions theory approach to analyse some of the measurement and disclosure issues involved in accounting for goodwill and other intangibles. The recent professional and academic literature is reviewed and the traditional economic theory approach to interpreting accounting issues in these areas is criticised. A form of transactions theory called ‘Statistical Transactions Theory’ is then used to investigate several conceptual problem areas, notably: the definition of goodwill and fair values; the distinction between goodwill and other intangibles; and capitalisation, amortisation and valuation issues. The authors conclude that the most fruitful course of action in dealing with these issues would be a substantial research effort designed to investigate the distributional properties of accounting numbers relating to the subject of intangibles measurement, including goodwill as defined in this paper. They call for more analytic and empirical work in this field.     

Taxation and Integrated Financial Markets: The Challenges of Derivatives and Other Financial Innovations

The past decade has witnessed the explosive growth of a multiplicity of new instruments which have altered the financial landscape. These transactions have highlighted many of the inconsistencies, asymmetries and shortcomings of current tax practices and challenged some basic tax principles. The ensuing uncertainties could over the long term place considerable strain on the tax system by increasing the opportunities for abuse and raising overall compliance costs. At the same time derivatives have provided a better understanding of the operation tax laws and from this standpoint have provided a positive input into policy design. This paper has three objectives: (a) to illustrate some of the weaknesses of the current tax system by focusing on several types of novel transaction; (b) to assess the validity of various types of adjustment proposed to tax code; (c) to draw out the implications of these developments for the ongoing debate over fundamental tax reforms and over source versus residence based taxes.     

THE CROSS-SECTIONAL EFFECTS OF OPTION LISTING ON FIRM STOCK RETURN VARIANCES

We develop a set of hypotheses to explain cross-sectional differences in variance changes associated with option listing. Transactions variance is decomposed into three components: the bid-ask spread, return autocorrelations, and intrinsic variance. Each is investigated separately. We find support for hypotheses that link: (1) changes in dealer transactions costs to changes in the bid-ask spread following option listing; (2) changes in the quantity and quality of information and the value of new information to movements of the return autocorrelation structure toward zero; and (3) changes in trading volume and the clientele that trades the underlying security to changes in intrinsic variance following option listing.     

Pricing in the English NHS quasi market: a national study of the allocation of financial risk through contracts

The authors investigated how the formal national provisions for pricing in the National Health Service (which are a form of prospective payment, known as ‘Payment by Results’) are operationalized at local level. Transactions costs theory and existing evidence predict that actual practice often does not comply with contractual rules. A national study of pricing between 2011 and 2015 confirms this and indicates that such payment systems may not be appropriate to address the current financial and organizational challenges facing the NHS. As the NHS struggles radically to reconfigure services, it is necessary to reconsider the appropriateness of a wider range of pricing mechanisms to facilitate moving care out of hospitals.     

Hedging Strategies of Financial Intermediaries: Pricing Options with a Bid-Ask Spread

This paper uses a model similar to the Boyle-Vorst and Ritchken-Kuo arbitrage-free models for the valuation of options with transactions costs to determine the maximum price to be charged by the financial intermediary writing an option in a non-auction market. Earlier models are extended by recognizing that, in the presence of transactions costs, the price-taking intermediary devising a hedging portfolio faces a tradeoff: to choose a short trading interval with small hedging errors and high transactions costs, or a long trading interval with large hedging errors and low transactions costs. The model presented here also recognizes that when transactions costs induce less frequent portfolio adjustments, investors are faced with a multinomial distribution of asset returns rather than a binomial one. The price upper bound is determined by selecting the trading frequency that will equalize the marginal gain from decreasing hedging errors and the marginal cost of transactions.     

Hysteresis bands on returns,holding period and transaction costs

In the presence of transactions costs, no matter how small, arbitrage activity does not necessarily render equal all riskless rates of return. When two such rates follow stochastic processes, it is not optimal immediately to arbitrage out any discrepancy that arises between them. The reason is that immediate arbitrage would induce a definite expenditure of transactions costs whereas, without arbitrage intervention, there exists some, perhaps sufficient, probability that these two interest rates will come back together without any costs having been incurred. Hence, one can surmise that at equilibrium the financial market will permit the coexistence of two riskless rates that are not equal to each other. For analogous reasons, randomly fluctuating expected rates of return on risky assets will be allowed to differ even after correction for risk, leading to important violations of the Capital Asset Pricing Model. The combination of randomness in expected rates of return and proportional transactions costs is a serious blow to existing frictionless pricing models.     

Price momentum in the New Zealand stock market: a proper accounting for transactions costs and risk*

We test for recently reported momentum profits in New Zealand using a practitioner technique that we have not yet seen in the academic literature. This technique simultaneously weighs returns, risk and transactions costs at each portfolio rebalance, rather than blindly chasing returns and then accounting for risk and transactions costs after the fact. We reverse the findings of the earlier literature because our gross profits are more than fully consumed once transactions costs are properly accounted for. Although we focus on momentum trading in New Zealand, our practitioner technique is broadly applicable to investigations of trading anomalies.     

A note on transaction costs and the interpretation of dividend drop‐off ratios

In a recent edition of this Journal, Bartholdy and Brown (1999) presented an analysis of the ex‐dividend share price behaviour of shares listed on the New Zealand Stock Exchange. The authors conclude that their results are consistent with the tax clientele effect (driven by long‐term investors) and that there is little or no support for the short‐term trading hypothesis. Our purpose is to highlight the importance of transaction costs in analyses such as Bartholdy and Brown's. We argue that their results have an alternative interpretation because their analysis excludes the impact of transaction costs. We extend their model to include transaction costs and show that their results are not necessarily inconsistent with the short‐term trading hypothesis. A critical point of our analysis is that, in the presence of transaction costs, the equilibrium drop‐off ratio for dividend strip traders will be less than one, and, in some cases, can be less than the equilibrium drop‐off ratio for long‐term investors.     

Nominal Interest Rates and Loan Volume with Heterogeneous Beliefs

The large volume of loan transactions suggests widely divergent beliefs among borrowers and lenders, but most modern term structure theories make no prediction about volume because they assume homogeneous agents. Within these rational expectations, representative agent theories, loans are not only in zero net supply; they are also in zero gross supply. Here, the shape of the average term structure, the bias in forward interest rates, and the volume of transactions are discussed in a heuristic setting with heterogeneity and incomplete rationality. A reconciliation of heterogeneity with continuous–time term structure theory is attempted, but the results are not encouraging. Empirical data are consistent with the importance of heterogeneous beliefs.     

Empirical evidence on payment media costs and switch points

This paper recovers micro cost schedules of consumers’ payment instruments from aggregate transaction costs. We assume that only two moments of the size distribution of payments matter: the number and volume of transactions. These variables explain the transaction costs of currency and debit card payments with much precision for a representative 1998 sample of Dutch retailers. The results imply that low fixed transaction costs favor currency for small transactions, while low variable transaction costs favor debit card payments for large transactions. The switch point is 30 Euros, but including the hidden costs of currency would lower it to 13 Euros.     

Transactions costs and the relationship between put and call prices

The relationship between prices of puts and calls on securities that is suggested by the theory of efficient markets is developed and empirically tested in this paper. We find that the basic model is not supported unless rather large transactions costs are included. Moreover, the transactions costs that must be assumed to make the model consistent with the data are so large as to raise troublesome questions as to whether there were unexploited profit opportunities in the options market at least during the 1967–1969 period. We also find that similar deviations from the efficient market hypothesis have shown up in related work by other researchers but that their explanations of these results appear to be incorrect on theoretical grounds or too sanguine.     

Credit Spreads in Illiquid Markets: Model and Implementation

This paper presents a methodology for estimating a family of credit spread term structures in a market with few transactions. The authors propose partitioning the market into risk classes and modeling credit spread term structures for each risk class using a multifactor Vasicek model with some common and some risk class-specific factors. The approach uses information on the cross section and time series of corporate bonds in all the risk classes to estimate the term structure of credit spreads in each risk class. The model is jointly estimated using an extended Kalman filter and implemented using Chilean corporate and government bonds.