Using Corporate Inflation Protected Securities to Hedge Interest Rate Risk

In the first half of 2008, rising inflation became a concern, but by the fall the focus was on deflation. Such shifts in the outlook for inflation represent a significant risk for some companies, particularly those whose revenues and profits are negatively affected by increases in inflation and rates. For such companies, the use of long‐term fixed‐rate debt will provide at least a partial hedge against increased rates. Less widely appreciated is that even companies whose profits move up and down with inflation face considerable risk from fluctuations in interest rates. Conventional wisdom holds that floating‐rate debt hedges this risk. But this article argues that floating‐rate debt still leaves a company exposed to increases in real interest rates. Inflation‐sensitive companies such as utilities can use corporate inflation‐protected securities (CIPS) to hedge their real interest rate risk as well as inflation risk. In addition to its hedging benefits, CIPS also have the potential to reduce borrowing costs by satisfying growing investor demand for high‐quality securities that provide inflation protection (including demand sources like the recent restoration of French savings accounts to inflation).     

利率互换定价存在的障碍及解决办法

根据我国利率互换市场现状,着重分析我国利率互换定价目前存在的障碍,阐述一种可行的定价方法,通过拟合交易所国债的利率期限结构计算出远期利率代替未来浮动端的参考利率确定浮动端现金流,令利率互换固定端现金流与之相等,得出固定利率。定价结果表明本文阐述的方法能够提供一种较为有效的对利率互换定价的方法,可以作为实际交易过程中的定价参考。     

A path-dependent approach to security valuation with application to interest rate contingent claims

The last two decades have witnessed a tremendous growth in the volume of assets and liabilities whose cash flows depend, in a variety of ways, on the path of interest rates. Some of these, including floating-rate notes and swap agreements, contractually base cash flows on current and past interest rates and contain caps, floors, and other, more complex features. Others, including mortgages, many corporate bonds, and time deposits, are fixed-rate instruments that contain embedded options, such as those to prepay, call, or withdrawal. The irregular exercise of these options causes cash flows to vary as time proceeds and interest rates rise or fall. This paper develops a state-contingent claims technique for valuing such securities. It is derived from the option-based model of Breeden and Litzenberger (1978) using the transition matrix approach of Banz and Miller (1978). Particular attention is paid to valuing so-called path-dependent securities whose contemporaneous cash flows depend on the historical path of interest rates as well as their current level. A detailed example is provided in which an adjustable-rate mortgage is valued under a variety of economic and security specific assumptions.     

Self‐Fulfilling Liquidity Dry‐Ups

I analyze a model in which holding cash imposes a negative externality: it worsens future adverse selection in markets for long‐term assets, which impairs their role for liquidity provision. Adverse selection worsens when potential sellers of long‐term assets hold more cash because then fewer sales reflect cash needs, and proportionally more sales reflect private information. Moreover, future market illiquidity makes current cash holding more appealing. This feedback effect may result in hoarding behavior and a market breakdown, which I interpret as a self‐fulfilling liquidity dry‐up. This mechanism suggests that imposing liquidity requirements on financial institutions may backfire.     

Pre‐Issuance Hedging of Fixed‐Rate Debt

This article analyzes several corporate hedging strategies to manage interest rate risk on fixed‐rate debt prior to issuance. The authors start by considering these strategies using a highly stylized model: a binomial forward interest rate tree that, while simple in design, illustrates derivative pricing methodologies that are used in practice. Under a given rate volatility assumption, they demonstrate expected outcomes when entering a forward bond contract, a forward‐starting pay‐fixed interest swap, and a purchased option on that swap, as well as the “default” alternative of doing nothing. In principle, the decision of whether or not to hedge, as well as how to do so, depends on management's view of future interest rate volatility and degree of comfort with possible outcomes. The authors then assess the pros and cons of hedging strategies, with considerable emphasis on practical considerations. For example, while their theoretical model would allow an issuer to “lock” a specific debt issuance, in practice one can hedge only “benchmark” interest rate risk. The authors describe the use of both Treasury locks and forward‐starting swaps to address unexpected benchmark yield changes, and discuss how factors such as the time to issuance affect an issuer's choice of instrument. For instance, Treasury locks are typically used when the time to issuance is relatively short, while interest rate swaps are more common for longer times to issuance. The article also discusses circumstances in which a “do nothing” strategy may be preferable to other alternatives, as well as the disadvantages of issuing in advance. Finally, the authors describe the impact of financial accounting on different hedge strategies.     

Interest Rate Risk and Equity Values of Life Insurance Companies: A GARCH–M Model

The importance of managerial decisions related to interest‐sensitive cash flows has received considerable attention in the insurance literature. Consistent with the interest‐sensitive nature of insurer assets and liabilities, empirical research has shown that insurer insolvency is significantly related to interest rate volatility. We investigate the interest rate sensitivity of monthly stock returns of life insurers based on a generalized autoregressive conditionally heteroskedastic in the mean (GARCH–M) model. We examine three different portfolios (equally weighted, risk‐based, and size‐based) with binary variables to explicitly account for varying interest rate strategies adopted by the Federal Reserve System. Results based on data for the period 1975 through 2000 indicate that life insurer equity values are sensitive to long‐term interest rates and that interest sensitivity varies across subperiods and across risk‐based and size‐based portfolios. The results complement insolvency research that links insurer financial performance to changes in interest rates.     

“De‐risking” Corporate Pension Plans: Options for CFOs

Until the stock market bubble burst in 2000–2002, most CFOs viewed their defined benefit pension plans as profit centers and relatively risk‐free sources of income. Since neither pension assets nor liabilities were reported on corporate balance sheets, and expected returns on pension stocks could be substituted for actual returns when reporting net income, the risks associated with DB plans were masked by GAAP accounting and thus assumed to have no bearing on corporate capital structure. But when stock prices and corporate profits fell together, the risks associated with conventional stock‐heavy pension plans showed up first in reduced pension surpluses (or, in many cases, deficits) and then later in higher required cash contributions and lower reported earnings. As a consequence, today's investors (and rating agencies) are viewing pension and other legacy liabilities as corporate debt, and demands for transparency and increased funding have triggered accounting changes and proposed legislative reforms that will further unmask the economics. This article aims to provide both private‐sector and public‐sector CFOs with suggestions for reducing and controlling the cost of providing for the retirement of their employees. Profitable, tax‐paying companies with DB plans should consider (1) funding any unfunded liabilities (if necessary, by issuing debt) and (2) reducing pension equity and interest rate exposures by shifting some (if not all) pension assets into bonds and defeasing the pension liability (achieving a tax arbitrage in the process). And in cases where the expected costs of maintaining DB plans outweigh the benefits, companies should consider freezing or terminating their plans and switching to a defined contribution (DC) or some form of hybrid plan. The authors also propose similar changes for public pension plans, where underfunding and mismatch problems are greater, less transparent, and in some ways less tractable than those of corporate DB plans.     

FINANCING INNOVATIONS AND CAPITAL STRUCTURE CHOICES

The last two decades have seen a stream of innovation in financial markets, especially in corporate bonds. Some of these innovations—notably, hybrid debt—have provided firms with more flexibility in designing cash flows on borrowings, allowing them to match cash flows on financing more closely to cash flows on assets. In so doing, the use of such innovative securities has increased corporate debt capacity and hence firm value.
But if such changes have been mostly good news for corporate treasurers, the relentless torrent of innovation has sometimes resulted in firms issuing these new securities for the wrong reasons. Some have done so to take advantage of loopholes in the way ratings agencies and regulatory agencies define debt and equity—and others to exploit perceived pricing anomalies—without considering the effect of such securities on the firm's overall risk profile. In this context, it is worth noting that as corporate bonds have become more complex, investment bankers have made themselves indispensable to the process by providing pricing as well as selling support. This article aims to help managers distinguish when financing with complex securities serves their company's interests, and when it can end up hurting them.     

Consistent valuation of project finance and LBOs using the flows‐to‐equity method

The flows‐to‐equity method is used to value transactions where debt amortizes according to a fixed schedule, requiring a formula that links the changing leverage with a time‐varying equity discount rate. We show that extant formulas yield incorrect valuations because they are inconsistent with the basic assumptions of this method. The error from using the wrong formula can be large, especially at currently low interest rates. We derive a formula that captures the effects of a fixed debt plan, potentially expensive debt, and costs of financial distress. We resolve an important issue about what to use as the cost of debt.     

Why Is Long‐Horizon Equity Less Risky? A Duration‐Based Explanation of the Value Premium

We propose a dynamic risk‐based model that captures the value premium. Firms are modeled as long‐lived assets distinguished by the timing of cash flows. The stochastic discount factor is specified so that shocks to aggregate dividends are priced, but shocks to the discount rate are not. The model implies that growth firms covary more with the discount rate than do value firms, which covary more with cash flows. When calibrated to explain aggregate stock market behavior, the model accounts for the observed value premium, the high Sharpe ratios on value firms, and the poor performance of the CAPM.     

The Value of Deposit Insurance in the Presence of Interest Rate and Credit Risk

In this paper we employ the theory of the term structure of interest rates and the pricing of interest contingent contracts to determine the fair value of insurance for depository institutions. The balance sheet of a bank is taken to consist of long and short positions in various fixed income securities. Deposit insurance for the bank is a put option on the value of the assets. The value of deposits, assets, the implied exercise price of the put and the value of the put are all determined simultaneously as part of the same valuation solution. The approach is developed initially for a single‐state term structure. It is extended to incorporate credit risk on bank assets.
The most important policy implication is that for a bank whose assets are longer term than its liabilities and whose borrowers are not excessively leveraged the properly calculated, risk‐adjusted deposit insurance premia are increasing functions of the level of interest rates. Sensitivity analyses also treat such factors as the bank's deposit to asset ratio, duration gap, interest volatility, the volatility of assets backing the bank loans, and the bank's borrowers' debt to equity ratio.     

Swap Rates and Credit Quality

This article presents a model for valuing claims subject to default by both contracting parties, such as swaps and forwards. With counterparties of different default risk, the promised cash flows of a swap are discounted by a switching discount rate that, at any given state and time, is equal to the discount rate of the counterparty for whom the swap is currently out of the money (that is, a liability). The impact of credit-risk asymmetry and of netting is presented through both theory and numerical examples, which include interest rate and currency swaps.     

Financial Intermediaries and Liquidity Creation

Trading losses associated with information asymmetries can be mitigated by designing securities which split the cash flows of underlying assets. These securities, which can arise endogenously, have values that do not depend on the information known only to informed agents. Bank debt (deposits) is an example of this type of liquid security which protect relatively uninformed agents, and we provide a rationale for deposit insurance in this content. High-grade corporate debt and government bonds are other examples, implying that a money market mutual fund-based payments system may be an alternative to one based on insured bank deposits.     

Municipal Debt and Marginal Tax Rates: Is There a Tax Premium in Asset Prices?

We study the marginal tax rate incorporated into short‐term municipal rates using municipal swap market data. Using an affine model, we identify the marginal tax rate and the credit/liquidity spread in 1‐week tax‐exempt rates, as well as their associated risk premia. The marginal tax rate averages 38.0% and is related to stock, bond, and commodity returns. The tax risk premium is negative, consistent with the strong countercyclical nature of after‐tax fixed‐income cash flows. These results demonstrate that tax risk is a systematic asset pricing factor and help resolve the muni‐bond puzzle.     

The Impact of Collateralization on Swap Rates

Interest rate swap pricing theory traditionally views swaps as a portfolio of forward contracts with net swap payments discounted at LIBOR rates. In practice, the use of marking‐to‐market and collateralization questions this view as they introduce intermediate cash flows and alter credit characteristics. We provide a swap valuation theory under marking‐to‐market and costly collateral and examine the theory's empirical implications. We find evidence consistent with costly collateral using two different approaches; the first uses single‐factor models and Eurodollar futures prices, and the second uses a formal term structure model and Treasury/swap data.     

TOWARD A MORE COMPLETE MODEL OF OPTIMAL CAPITAL STRUCTURE

Most corporate finance practitioners understand the trade-off involved in making effective use of debt capacity while safeguarding the firm's ability to execute its business strategy without disruption. But quantifying that trade-off to arrive at an optimal level of debt can be a complicated and challenging task. This paper develops a simulation model of capital structure that starts by generating multiple estimates of market rates (LIBOR, currency rates) and corresponding company operating cash flows. To arrive at an optimal capital structure, the model then incorporates the shareholder value effects of alternative financing decisions by directly measuring the costs of financial distress, including the costs of missed investment opportunities and higher working capital requirements.
The model generates both a target credit rating and a lower fallback rating that permits a higher level of debt to maintain investments and dividends when operating cash flows are weak. As the model shows, companies with volatile cash flows and significant investment opportunities can add substantial shareholder value by establishing a fallback credit rating that is one or two notches below the target rating. The model also optimizes the mix of fixed versus floating debt, the maturity structure, and the currency composition. Another distinctive feature of the model is its ability to estimate the expected cost of alternative liability structures that can provide the liquidity insurance necessary to sustain the firm through periods of severe stress. This cost turns out to be quite small relative to the total market capitalization of the average firm.     

A Simple Approach to Valuing Risky Fixed and Floating Rate Debt

We develop a simple approach to valuing risky corporate debt that incorporates both default and interest rate risk. We use this approach to derive simple closed-form valuation expressions for fixed and floating rate debt. The model provides a number of interesting new insights about pricing and hedging corporate debt securities. For example, we find that the correlation between default risk and the interest rate has a significant effect on the properties of the credit spread. Using Moody's corporate bond yield data, we find that credit spreads are negatively related to interest rates and that durations of risky bonds depend on the correlation with interest rates. This empirical evidence is consistent with the implications of the valuation model.     

Asset Maturity, Debt Covenants, and Debt Maturity Choice

The existing research on debt‐maturity under asymmetric information has focused on the impact of differential information regarding asset quality on the debt maturity decision. This research has generally indicated the optimality of short‐term debt financing as a vehicle of mitigating the adverse selection problem. In this paper, I consider the impact of information asymmetry regarding the maturity structure of cash flows on the debt maturity decision. In this context, long‐term debt is generally the form of debt financing most effective in alleviating the adverse selection problem. I also show that costs of adverse selection may induce some mismatching of debt maturity and asset maturity in the presence of significant transaction costs.     

Long‐Run Stock Performance and Its Determinants for Asset Buyers

This paper examines the long‐term stock performance of asset purchasers and the determinants of cross‐sectional differences in performance. Our findings show that buyers’ stocks, on average, underperform following purchases. Buy‐and‐hold abnormal returns of buyers acquiring related assets are significantly higher than those acquiring unrelated assets, consistent with the focus hypothesis. Asset buyers with superior prior stock performance experience poorer long‐run performance than buyers with inferior prior stock performance, consistent with the prior performance hypothesis. Asset buyers that manage earnings upward, experience poorer long‐term abnormal stock performance than acquirers with downward earnings management, consistent with the earnings management hypothesis. The long‐term return evidence is to some degree consistent with the governance hypothesis but we find little support for the free cash flow hypothesis.