Intertemporal Investment Strategies under Inflation Risk

This paper studies intertemporal investment strategies under inflation risk by extending the intertemporal framework of Merton (1973) to include a stochastic price index. The stochastic price index gives rise to a two-tier evaluation system: agents maximize their utility of consumption in real terms while investment activities and wealth evolution are evaluated in nominal terms. We include inflation-indexed bonds in the agents’ investment opportunity set and study their effectiveness in hedging against inflation risk. A new multifactor term structure model is developed to price both inflation-indexed bonds and nominal bonds, and the optimal rules for intertemporal portfolio allocation, both with and without inflation-indexed bonds are obtained in closed form. The theoretical model is estimated using data of US bond yield, both real and nominal, and S&P 500 index. The estimation results are employed to construct the optimal investment strategy for an actual real market situation. Wachter (2003) pointed out that without inflation risk, the most risk averse agents (with an infinite risk aversion parameter) will invest all their wealth in the long term nominal bond maturing at the end of the investment horizon. We extend this result to the case with inflation risk and conclude that the most risk averse agents will now invest all their wealth in the inflation-indexed bond maturing at the end of the investment horizon.inflation-indexed bonds; intertemporal asset allocation; inflationary expectations

Real and Nominal UK Interest Rates, ERM Membership and Inflation Targeting

This paper models the time-varying mean of the UK real and nominal short-term interest rate. Both rates mean revert to a time-varying central tendency in continuous-time interest rate models. Before and during British membership in the ERM, the mean of the real and nominal short rate have a strong negative correlation. Afterwards, when the UK implemented an inflation targeting policy, the mean of the real and nominal short rate are no longer negatively correlated, but instead have a strong positive correlation. The paper also reports empirical evidence of a relationship between the mean of the real and nominal short rate and inflation in the period before the departure from the ERM.ERM, Inflation targeting, Nominal and real rates, Term structure model, UK

Managing Food Industry Business and Financial Risks with Commodity-Linked Credit Instruments

This paper reviews the use and structure of commodity-linked credit instruments. It is argued that in the absence of contingent markets food firms face increasing financial risk reduced investment, and limited access to debt markets. One strategy is to issue commodity-linked credit whose payment structure is linked to the price of an underlying commodity. In some cases, a commodity-linked bond (CLB) can be structured to provide an incentive to investors by sharing in profit gains. If the goal is to hedge financial risks, CLB's can also be constructed that reduce the loan principle or coupons depending on price movements.Agribusiness, Risk and Uncertainty,

Investing in a real world with mean-reverting inflation.

People are concerned about maintaining purchasing power in times of rising inflation. We formulate investment objectives in terms of real wealth, assuming investors derive utility from the number of goods they can buy with their monetary wealth. We derive closed-form solutions for the portfolio choice problem of constant relative risk averse investors, under the assumption that inflation rates are mean-reverting. We consider alternative specifications for the inflation compensation offered by the available assets, in order to study the effect on portfolio choice and welfare. Moreover, we study the added value of inflation-indexed bonds for the investor in our real framework

The Impact of Short-Sale Constraints on Asset Allocation Strategies via the Backward Markov Chain Approximation Method

This paper considers an asset allocation strategy over a finite period under investment uncertainty and short-sale constraints as a continuous time stochastic control problem. Investment uncertainty is characterised by a stochastic interest rate and inflation risk. If there are no short-sale constraints, the optimal asset allocation strategy can be solved analytically. We consider several kinds of short-sale constraints and employ the backward Markov chain approximation method to explore the impact of short-sale constraints on asset allocation decisions. Our results show that the short-sale constraints do indeed have a significant impact on the asset allocation decisions.

Estimating real and nominal term structures using Treasury yields, inflation, inflation forecasts, and inflation swap rates

This paper develops and estimates an equilibrium model of the term structures of nominal and real interest rates. The term structures are driven by state variables that include the short term real interest rate, expected inflation, a factor that models the changing level to which inflation is expected to revert, as well as four volatility factors that follow GARCH processes. We derive analytical solutions for the prices of nominal bonds, inflation-indexed bonds that have an indexation lag, the term structure of expected inflation, and inflation swap rates. The model parameters are estimated using data on nominal Treasury yields, survey forecasts of inflation, and inflation swap rates. We find that allowing for GARCH effects is particularly important for real interest rate and expected inflation processes, but that long–horizon real and inflation risk premia are relatively stable. Comparing our model prices of inflation-indexed bonds to those of Treasury Inflation Protected Securities (TIPS) suggests that TIPS were underpriced prior to 2004 but subsequently were valued fairly. We find that unexpected increases in both short run and longer run inflation implied by our model have a negative impact on stock market returns.Interest rates ; Inflation (Finance) ; Asset pricing

Estimating the cost of U.S. indexed bonds

A presentation of an equilibrium bond-pricing model driven by two stochastic factors: the real interest rate and the expected rate of inflation. The models parameters are estimated using a maximum-likelihood technique based on a Kalman filter.Government securities ; Inflation (Finance) ; Interest rates ; Indexation (Economics)

Equilibrium Yield Curves

This paper considers how the role of inflation as a leading business-cycle indicator affects the pricing of nominal bonds. We examine a representative agent asset pricing model with recursive utility preferences and exogenous consumption growth and inflation. We solve for yields under various assumptions on the evolution of investor beliefs. If inflation is bad news for consumption growth, the nominal yield curve slopes up. Moreover, the level of nominal interest rates and term spreads are high in times when inflation news are harder to interpret. This is relevant for periods such as the early 1980s, when the joint dynamics of inflation and growth was not well understood.

Modeling interest rate dynamics: an infinite-dimensional approach

We present a family of models for the term structure of interest rates which describe the interest rate curve as a stochastic process in a Hilbert space. We start by decomposing the deformations of the term structure into the variations of the short rate, the long rate and the fluctuations of the curve around its average shape. This fluctuation is then described as a solution of a stochastic evolution equation in an infinite dimensional space. In the case where deformations are local in maturity, this equation reduces to a stochastic PDE, of which we give the simplest example. We discuss the properties of the solutions and show that they capture in a parsimonious manner the essential features of yield curve dynamics: imperfect correlation between maturities, mean reversion of interest rates and the structure of principal components of term structure deformations. Finally, we discuss calibration issues and show that the model parameters have a natural interpretation in terms of empirically observed quantities.Comment: Keywords: interest rates, stochastic PDE, term structure models, stochastic processes in Hilbert space. Other related works may be retrieved on http://www.eleves.ens.fr:8080/home/cont/papers.htm