VALUATION OF EVENT‐CONTINGENT OPTIONS

I study a new class of investment options, event‐contingent options. These are options to invest and divest in projects that are dependent on other projects of the same firm or that are conditioned by projects of other firms in its value chain. I construct payoff functions and derive closed‐form solutions for the value of options to invest contingent on investment (OICI), options to invest contingent on divestment (OICD), options to divest contingent on divestment (ODCD), and options to divest contingent on investment (ODCI). I also derive analytical comparative statics for these option valuation equations and examine their implications on the firm's wealth. I offer examples of event‐contingent options in a global context.     

The impact of conglomeration on the option value of equity

Using contingent claims analysis, I quantify the effect of risk-reducing corporate diversification on the value of equity as a call option on firm assets. The impact of conglomeration on firm risk is heavily conditioned on firm size. In contrast to small firms, the risk of large firms does not decline with increasing conglomeration. Accounting for this effect, the expected equity discount is much lower than commonly assumed and can even turn into a premium if the path dependency of equity is incorporated. My results stand in direct contrast to those of Mansi and Reeb (2002) and caution against using asset substitution as a qualitative argument for explaining economy-wide value phenomena.     

The effects of external financing costs on investment timing and sizing decisions

We develop a dynamic model in which a firm exercises an option to expand production on either a small or large scale with cash reserves and costly external funds. An intermediate level of cash reserves, which is insufficient for the large-scale investment but sufficient for the small-scale investment, provides an incentive for the firm to invest early in the small-scale project. These results fill the gap between two types of results: (i) empirical findings of a U-shaped relation between the investment volume and internal funds and (ii) empirical predictions of a U-shaped relation between the investment timing and internal funds. In addition, our results have real-world implications for investment in alternative projects.     

Forecasting Emerging Market Exchange Rates from Foreign Equity Options

The use of derivatives to infer future exchange rates has long been a subject of interest in the international finance literature. With the recent currency crises in Mexico, Southeast Asia, and Brazil, work on exchange rate expectations in emerging markets is of particular interest. For some emerging markets, foreign equity options are the only liquid exchange‐traded derivatives with currency information embedded in their prices. Given that emerging markets sometimes undergo currency realignment with discrete jumps in their exchange rate, estimation of risk‐neutral probability density functions from foreign equity option data provides valuable evidence concerning market expectations. To illustrate the use of foreign equity options in estimating market beliefs, we consider Telmex options around the 1994 peso devaluation and find evidence that markets anticipated the change in the Mexican government's foreign exchange policy.     

Smiles all around: FX joint calibration in a multi-Heston model

We introduce a novel multi-factor Heston-based stochastic volatility model, which is able to reproduce consistently typical multi-dimensional FX vanilla markets, while retaining the (semi)-analytical tractability typical of affine models and relying on a reasonable number of parameters. A successful joint calibration to real market data is presented together with various in- and out-of-sample calibration exercises to highlight the robustness of the parameters estimation. The proposed model preserves the natural inversion and triangulation symmetries of FX spot rates and its functional form, irrespective of choice of the risk-free currency. That is, all currencies are treated in the same way.     

Is the diversification discount caused by the book value bias of debt?

We analyze whether the diversification discount is driven by the book value bias of corporate debt. Book values of debt may be a more downward biased proxy of the market value of debt for diversified firms, relative to undiversified firms, as diversification leads to lower firm risk. Thus, measures of firm value based on book values of debt undervalue diversified firms relative to focused firms. Our paper complements recent literature which uses market values to test the risk reduction hypothesis for a subsample of firms for which debt is traded. Alternatively, we employ market value of debt estimates for the whole firm universe. Consistent with the above hypothesis, we show that the use of book values of debt underestimates the value of diversified firms. There is no discount for mainly equity financed firms and lower distress risk and equity volatility for diversified firms. More concentrated ownership increases firm valuation.     

Exchange rate dynamics under state-contingent stochastic process switching

This paper offers a closed-form solution of a process switching problem, i.e., switching the exchange rate regime from free-floating to a completely fixed one. An example of such regime change is the adoption of the Euro. In contrast to previous studies on the subject, this paper analyzes a specific case when foreign exchange market participants consider both the Euro locking rate and locking date as uncertain. Preceding the locking, the exchange rate is determined by three factors: fundamental, market expectations for the Euro locking rate, and date. The model is used to examine the conditions under which the exchange rate volatility is mitigated by the prospect of locking.     

Real options and earnings-based bonus compensation

This study extends the works of Mauer and Sarkar (2005) and Andrikopoulos (2009) by incorporating a regime-dependent earnings-based bonus into managerial compensation. Examining the individual effects of ownership shares and earnings-based bonus compensation, we find that the former provides managers with incentives to issue debt, whereas the latter induces the opposite result, although consistent impacts are found for the two types of compensation on both agency costs and the optimal investment decisions of managers. When managerial compensation comprises both ownership shares and an earnings-based bonus, there are significant differences in the effects of these two types of performance compensation on managers’ optimal investment and financing decisions, agency costs, optimal debt ratios and credit spreads, as a result of the specific interactions between the investment and financing decisions.     

APPLICABILITY OF THE FAMA‐FRENCH THREE‐FACTOR MODEL IN FORECASTING PORTFOLIO RETURNS

For the model‐based estimation of the equity cost of capital, evidence shows that the common practice of using the average historical factor premiums as the estimates of the next‐period factor premiums generates inaccurate estimates. I propose an alternative way to estimate factor premiums by using the structural variables that are important predictors of future asset returns. Based on the out‐of‐sample results from a trading strategy with four in‐sample model‐selection criteria, I find that my estimation procedure performs better than the common practice even when transaction costs are considered.     

A market-based approach to sector risk determinants and transmission in the euro area

In a panel data framework applied to Portfolio Distance-to-Default series of corporate sectors in the euro area, this paper evaluates systemic and idiosyncratic determinants of default risk and examines how distress is transferred in and between the financial and corporate sectors since the early days of the euro. This approach takes into account observed and unobserved common factors and the presence of different degrees of cross-section dependence in the form of economic proximity. This paper contributes to the financial stability literature with a contingent claims approach to a sector-based analysis with a less dominant macro focus while being compatible with existing stress-testing methodologies in the literature. A disaggregated analysis of the different corporate and financial sectors allows for a more detailed assessment of specificities in terms of risk profile, i.e. heterogeneity of business models, risk exposures and interaction with the rest of the macro environment.     

Stochastic risk premiums,stochastic skewness in currency options,and stochastic discount factors in international economies

We develop models of stochastic discount factors in international economies that produce stochastic risk premiums and stochastic skewness in currency options. We estimate the models using time-series returns and option prices on three currency pairs that form a triangular relation. Estimation shows that the average risk premium in Japan is larger than that in the US or the UK, the global risk premium is more persistent and volatile than the country-specific risk premiums, and investors respond differently to different shocks. We also identify high-frequency jumps in each economy but find that only downside jumps are priced. Finally, our analysis shows that the risk premiums are economically compatible with movements in stock and bond market fundamentals.     

Stochastic skew in currency options

We analyze the behavior of over-the-counter currency option prices across moneyness, maturity, and calendar time on two of the most actively traded currency pairs over the past eight years. We find that, on any given date, the conditional risk-neutral distribution of currency returns can show strong asymmetry. This asymmetry varies greatly over time and often switches signs. We develop and estimate a class of models that captures this stochastic skew behavior. Model estimation shows that our stochastic skew models significantly outperform traditional jump-diffusion stochastic volatility models both in sample and out of sample.     

Amazing discovery: Vincenz Bronzin’s option pricing models

In 1908, Vinzenz Bronzin, a professor of mathematics at the Accademia di Commercio e Nautica in Trieste, published a booklet in German entitled Theorie der Prämiengeschäfte (Theory of Premium Contracts) which is an old type of option contract. Almost like Bachelier’s now famous dissertation (1900) [Bachelier, Louis, 1900, 1964. Théorie de la speculation, Annales Scientifiques de l’ Ecole Normale Supérieure, Paris, Ser. 3, 17, pp. 21–88. (English translation in: The random character of stock market prices (Ed. Paul Cootner), MIT-Press (1964), pp. 17–79)], the work seems to have been forgotten shortly after it was published. However, almost every element of modern option pricing can be found in Bronzin’s book. In particular, he uses the normal distribution to derive a pricing equation which comes surprisingly close to the Black–Scholes–Merton formula.     

Will Any q Do?

We find that the relative levels of computationally costly q estimators and simple q estimators, when used as continuous variables, are affected by variations in many firm financial characteristics. In contrast, when the estimators are used as dichotomous variables, they classify the vast majority of firms identically with respect to the unit q breakpoint. Finally, we find that the computationally costly approach may induce sample‐selection bias as a result of data unavailability. Our results suggest that the simple approach is preferable except when extreme precision of the q estimate is of paramount importance and sample‐selection bias is not likely to be an issue.     

Product markets and corporate investment: Theory and evidence

Investment patterns often associated with agency and information problems can emerge as rational responses to product-market rivalry. We illustrate this result when industry players make simultaneous or sequential investment decisions in the face of two negative externalities. One externality arises when all competing firms invest, thus eroding the gains to investment accruing to any one firm. Another externality arises when some firms do not invest and lose out to rivals who do invest. The value of investment therefore depends on the investment’s intrinsic merits and the actions of all competitors. Our analysis can rationalize investment patterns that might appear suboptimal when such externalities are ignored. For instance, our simultaneous model can justify investment levels that might otherwise be interpreted as under- or over-investment. Our sequential model shows that value-maximizing firms might optimally herd in their investment decisions. We present evidence supporting key aspects of both the simultaneous and sequential models.     

Cash Flow Immediacy and the Value of Investment Timing

In a model with stochastic interest rates, irreversible investment, and two investment dates, the value of investment delay has two components: the expected gain from committing now to investment at a future date and the potential gain from the ability to reverse this commitment. Holding net present value constant, we show that the values of both these components are increasing in the proportion of project cash flows that accrue in the more distant future. Our results emphasize the importance of the interaction between cash flow immediacy and interest rate uncertainty for the optimal investment policy.     

Information asymmetry and investment–cash flow sensitivity

Models of capital market imperfections predict that information asymmetry decreases firm investment and increases the sensitivity of investment expenditures to fluctuations in internal funds. Previous empirical tests of the link between investment and financing decisions have relied on indirect measures of financial constraint due to market frictions. In contrast, we use more direct measures derived from the market microstructure literature. Consistent with the theoretical predictions, our analysis shows that scaled investment expenditures are on average lower and the investment–cash flow sensitivity is greater when the probability of informed trading is high. Our results are robust to alternative measures of informed trading and liquidity, but they are not pervasive in our sample.     

OPERATING LEVERAGE AND UNDERINVESTMENT

Using a contingent claims model, we examine the impacts of both operating leverage and financial leverage on a firm's investment decisions in the context of capacity expansion. Our model shows that quasi‐fixed operating costs could significantly mitigate the underinvestment problem for debt‐financed firms. The existing debt induces equity holders to delay equity‐financed expansion because the expanded earnings base will also benefit the debt holders by lowering the bankruptcy risk. The operating costs decrease this type of wealth transfer from equity holders to debt holders by magnifying the bankruptcy risk of the existing debt upon investment. By applying the Cox proportional hazard model on a large sample of publicly traded U.S. firms over 1966–2016, we offer empirical support for the theoretical predictions. The results are robust to various measures of operating leverage.