Inflation, Index-Linked Bonds, and Asset Allocation

The recent introduction of CPI-linked bonds by several financial institutions is a milestone in the history of the U.S. financial system. It has potentially far-reaching effects on individual and institutional asset allocation decisions because these securities represent the only true long-run hedge against inflation risk. CPI-linked bonds make possible the creation of additional financial innovations that would use them as the asset base. One such innovation that seems likely is inflation-protected retirement annuities. The introduction of index-linked bonds eliminates one of the main obstacles to the indexation of benefits in private pension plans. A firm could hedge the risk associated with a long-term indexed liability by investing in index-linked bonds with the same duration as the indexed liabilities.

On asset-liability matching and federal deposit and pension insurance

Asset-liability mismatch was a principal cause of the Savings and Loan Crisis of the 1980s. The federal government's failure to recognize the mismatch risk early on and manage it properly led to huge losses by the Federal Savings and Loan Insurance Corporation, which had to be covered by taxpayers. In dealing with the problems now facing the defined-benefit pension system and the Pension Benefit Guaranty Corporation (PBGC), the government seems to be making some of the same mistakes it made then. Among the causes is the fallacious belief that because pension funds have a long time horizon the risk of investing in equities is negligible. In fact, the opposite is true. Moreover, for the PBGC, the mismatch risk is magnified by moral hazard and adverse selection. Distressed companies facing the prospect of bankruptcy have an incentive to underfund their pension plans and adopt risky investment strategies; healthy companies have an incentive to terminate their plans and exit the system. The paper explores some ways to limit the costs of a potential PBGC bailout.Asset-liability management ; Pension Benefit Guaranty Corporation

Inflation Risk and Capital Market Equilibrium

This paper investigates the effect of inflation uncertainty on the portfolio behavior of households and the equilibrium structure of capitol market rates. The principal findings regarding portfolio behavior are: (1.) In the presence of inflation uncertainty, households will have an inflation-hedging demand for assets other than riskless nominal bonds, which will be directly proportional to the covariance between the rate of inflation and the nominal rates of return on these other assets. (2.) An asset is a perfect inflation hedge if and only if its nominal return is perfectly correlated with the rate of inflation. The principal findings regarding capital market rates are: (1.) The equilibrium real yield spread between any risky security and riskless nominal bonds is directly proportional to the difference between the covariance of the security's nominal rate of return with the market portfolio and its covariance with the rate of inflation. (2.) As long as the net supply of monetary assets in the economy is greater than zero, an increase in inflation uncertainty will lower the risk premia on all real assets. (3.) A preliminary empirical test of the theory using rates of return on common stocks, long-term bonds, real estate and commodity futures contracts yields mixed results. The risk premia on long-term bonds and futures have the "wrong" signs.

Pension Fund Investment Policy

The purpose of this paper is to survey what is known about the investment policy of pension funds. Pension fund investment policy depends critically on the type of plan: defined contribution versus defined benefit. For defined contribution plans investment policy is not much different than it is for an individual deciding how to invest the money in an Individual Retirement Account (IRA). The guiding principle is efficient diversification, that is, achieving the maximum expected return for any given level of risk exposure. The special feature is the fact that investment earnings are not taxed as long as the money is held in the pension fund. This consideration should cause the investor to tilt the asset mix of the pension fund towards the least tax-advantaged securities such as corporate bonds. For defined benefit plans the practitioner literature seems to advocate immunization strategies to hedge benefits owed to retired employees and portfolio insurance strategies to hedge benefits accruing to active employees. Academic research into the theory of optimal funding and asset allocation rules for corporate defined benefit plans concludes that if their objective is shareholder wealth maximization then these plans should pursue extreme policies. For healthy plans, the optimum is full funding and investment exclusively in taxable fixed-income securities. For very underfunded plans, the optimum is minimum funding and investment in the riskiest assets. Empirical research so far has failed to decisively confirm or reject the predictions of this theory of corporate pension policy. Recent rule changes adopted by the Financial Accounting Standards Board regarding corporate reporting of defined benefit plan assets and liabilities may lead to a significant shift into fixed-income securities. The recent introduction of price-level indexed securities in u.s. financial markets may lead to significant changes in pension fund asset allocation. By giving plan sponsors a simple way to hedge inflation risk, these securities make it possible to offer plan participants inflation protection both before and after retirement.

Investment Strategy in an Inflationary Environment

This paper addresses the issue of how an investor concerned about the real rate of return on his investment portfolio should allocate his funds among four major asset classes: stocks, bonds, bills and commodity futures contracts. It employs the Markowitz mean-variance framework to derive estimates of the pre-tax, real risk-return tradeoff curve currently facing an investor in the U.S. capital markets. Some of the major findings are: 1) Bills are the cornerstone of any low-risk investment strategy. The minimum-risk portfolio has a mean real rate of return of zero and a standard deviation of about 1%. The slope of the tradeoff curve is initially 1, but it declines rapidly as one progresses up the curve to higher mean rates of return. 2) Stocks offer the highest mean and are also riskiest. 3) Bonds play a prominent part in portfolios which lie in the midsection of the tradeoff curve, although not much would be lost if these instruments were eliminated. 4) Commodity futures contracts are the only asset whose returns are positively correlated with inflation. By adding them to the portfolios of stocks, bonds and bills, it is possible to achieve any target mean real rate of return with less risk.

Inflation Insurance

A contract to insure $1 against inflation is equivalent to a European call option on the consumer price index. When there is no deductible this call option is equivalent to a forward contract on the CPI. Its price is the difference between the prices of a zero coupon real bond and a zero coupon nominal bond, both free of default risk. Provided that the risk-free real rate of interest is positive, the price of such an inflation insurance policy first rises and then falls with time to maturity. It is a decreasing function of the real interest rate and an increasing function of both the expected rate of inflation and the real risk premium on nominal bonds. When a deductible is introduced, the insurance policy can no longer be priced like a CPI forward contract. The option feature has its greatest value when the deductible is close to the forward rate of inflation, defined as the difference between the risk-free nominal and real interest rates. Such inflation insurance contracts are priced using the model developed by Black-Merton-Scholes. Pricing an inflation insurance policy with a cap requires only a minor modification of the model. The approach presented in this paper permits fairly precise quantification of the cost of implementing proposals to index pension benefits for inflation. It also gives us a way of estimating the savings to the Social Security system that would result from introducing a deductible.

Purchasing-Power Annuities: Financial Innovation for Stable Real Retirement Income in an Inflationary Environment

This paper is organized as follows: The first part of the paper introduces the topic. In the next part, we explore the inadequacies of conventional and equity-based variable annuities in an inflationary environment by contrasting them with a hypothetical PPA. We then try to assess the suitability of money market instruments hedged with commodity futures as the asset base for PPA's, and consider the possibility of having financial institutions offer them to the public. The major conclusion of the paper is that private pension plans could offer retiring employees a choice between a conventional money-fixed annuity or a PPA, both of which would cost theemployer the same amount of money to fund, although this option would require the PPA benefitlevel in the first few years of retirement to be lower than that of the conventional annuity.

Labor Supply Flexibility and Portfolio Choice

This paper develops a model showing that people who have flexibility in choosing how much to work will prefer to invest substantially more of their money in risky assets than if they had no such flexibility. Viewed in this way, labor supply flexibility offers insurance against adverse investment outcomes. The model provides support for the conventional wisdom that the young can tolerate more risk in their investment portfolios than the old. The model has other implications for the study of household financial behavior over the life cycle. It implies that households will take account of the value of labor supply flexibility in deciding how much to invest in their own human capital and when to retire. At the macro level it implies that people will have a labor supply response to shocks in the financial markets.