Valuation and Analysis of Collateralized Mortgage Obligations

58 - Portfolio management II

The aim of this paper is twofold; first we concentrate on the work of Vasicek (1977) and Cox, Ingersoll and Ross (1985). We examine and test empirically each model and discuss its performance in predicting the term structure of interest rates using a parametric estimating approach GMM (Generalized Moments Method). Second we estimate the term structure of interest rate dynamics using a nonparametric approach ANN (Artificial Neural Network). Two neural network models are performed. The first model uses spreads between interest rates of 10 different maturities as the only explanatory variable of interest rate changes. The second model introduces two factors, spreads and interest rates' levels. Using historical U.S. Treasury bill rates and Treasury bond yields, we compare the ability of each model to predict the term structure of interest rates. Data are daily and cover the period from 3 January 1995 to 29 December 2000. Results suggest that neural network, Vasicek (1977) and Cox, Ingersoll and Ross (1985) models generate different yield curves. Neural network models outperform the parametric standard models. The most successful forecast is obtained with a two factors neural network model.

This paper examines the hypothesis that financial markets are myopic by studying the term structure of interest rates. White rejecting decisively the traditional expectations hypothesis regarding the term structure, our statistical results also lead us to conclude that long term interest rates do not overreact to either the level or the change in short termrates. This finding suggests that participants in bond markets are not myopic or overly sensitive to recent events. Our statistical results also suggest that most variations in the yield curve reflect changes in liquidity premia rather than expected changes in interest rates.

This paper investigates the relation between the conditional expected equity risk premium and the slope of the term structure of interest rates. Theoretically, these variables are linked, the relation may be nonlinear, and negative risk premiums are consistent with equilibrium. Given these implications, we employ a nonparametric estimation technique to document the empirical relation between the risk premium and the slope of the term structure using almost two hundred years of data. Of particular interest, the risk premium is increasing in the term structure slope; however, for either small or negative slopes, the risk premium is much more sensitive to changes in interest rates. In addition, the empirical results imply negative expected equity risk premiums for some inverted term structures. Finally, variations in the risk premium do not appear to be related to variations in the variance of equity returns. We illustrate these features in a stylized consumption-based model, and provide the economic intuition behind the results.

We examine and test the validity of the expectation hypothesis of the term structure (EHTS) of interest rates in Saudi Arabia using the traditional single equation approach, Campbell and Shiller methodology, Error Correction Model, and monthly data over the period June 1983 to December 2014. The results of the single equation approach indicate that the test of validity of the expectation hypothesis cannot be rejected for all maturities. We also find that the validity of the EHTS of interest rates is supported through the stationarity of the term spreads between short- and long-term interest rates. Moreover, the cointegration test reveals the existence of a cointegration relationship between short- and long-term interest with ( 1 − 1 ) $\left(1-1\right)$ cointegrating vector, suggesting the validity EHTS of interest rates. Policy implications based on the empirical results suggest that the transparency of monetary policy in Saudi Arabia and the effective role of the Saudi Arabian Monetary Authority (SAMA) in conducting monetary policy increase the predictive power of market participants of future movements of short-term interest rates.

On the Information in the Interest Rate Term Structure and Option Prices

Government Bonds and the Term Structure of Interest Rates

Changes in interest rates may be attributed to changes in the supply schedule of funds, changes in the demand schedule, or changes in both schedules. Since interest rates link the financial and real sectors of the economy and thus transmit the major thrust of central bank actions to the ultimate targets of monetary policy, it is important to identify properly the causes underlying changes in rates. An increase in rates resulting from an upward shift in the demand fot funds has substantially different implications for the course of economic activity than an equal rise attributable to a downward shift in the supply of funds. This paper conducts tests to determine whether postwar changes in interest rates have resulted primarily from changes in the demand for funds or in the supply of funds. As a first approximation, interest rates can be assumed to be affected on the supply side primarily by the supply of money and on the demand side primarily by aggregate income or output. We can test the relative strengths of money and output on rates by including them both as explanatory variables in one equation1:

Term Structure of Interest Rates. Review of a Theory of the Term Structure of Interest Rates (CIR)

At present, China is in the critical stage of transforming from a quantitative monetary policy to a price-based monetary policy. The implementation of a quantitative-price mixed monetary policy can further improve the effect of monetary policy and interest rate regulation and maintain the stable operation of the macro economy. Based on the current economic situation, this article conducts experiments to prove the relationship between its monetary policy and the term structure of interest rates. To this end, this article first analyzes and compares the final effects of monetary policy on regional economies with the aid of an analysis framework that can simultaneously take into account the individuality of regional economies, the spillover effects between regional economies and the overall nature of monetary policy. Then, this article further combines the current background of interest rate marketization and monetary policy from quantity-oriented price-oriented changes. Focusing on the interest rate channel, it deeply analyzes the regional effects and formation of China's monetary policy under the new situation. First of all, on the basis of combing and summarizing relevant literature, find the expansion space for evaluating the regional effect of China's monetary policy. Experimental research results show that the term structure of interest rates is playing an increasingly important role in monetary policy. Combining the study of the term structure of interest rates with monetary policy and examining the relationship between them can not only promote the role of interest rates in macro-control, but also have important implications for improving the forward-looking and effectiveness of monetary policy.

New estimates of the term structure of interest rates are used to investigate movements of and along the U.S. money demand function during the period 1920-38. The entire term structureand not just its short end-is found to be important to the interwar demand for money function. Therefore, the low short-term interest rates of the early 1930s cannot be identified as evidence of easy money. Instead, the widened spread between shortand long-term interest rates is evidence of the liquidity crisis proposed by Friedman and Schwartz, F&S, (10) in their explanation of the Great Depression. This finding critically depends on use of new, correctly-measured term structures of interest rates. The received estimates, which are widely recognized to be crude approximations, mask the important role played by the term structure in the monetary dynamics of the inter-war period.

Recent empirical research shows that a reasonable characterization of federal-funds-rate targeting behavior is that the change in the target rate depends on the maturity structure of interest rates and exhibits little dependence on lagged target rates. See, for example, Cochrane and Piazzesi (2002). The result echoes the policy rule used by (1994) to rationalize the empirical failure of the `expectations hypothesis' applied to the term- structure of interest rates. That is, rather than forward rates acting as unbiased predictors of future short rates, the historical evidence suggests that the correlation between forward rates and future short rates is surprisingly low. showed that a desire by the monetary authority to adjust short rates in response to exogenous shocks to the term premiums imbedded in long rates (i.e. yield-curve smoothing), along with a desire for smoothing interest rates across time, can generate term structures that account for the puzzling regression results of Fama and Bliss (1987). also clearly pointed out that this reduced-form approach to the policy rule, although naturally forward looking, needed to be studied further in the context of other response functions such as the now standard Taylor (1993) rule. We explore both the robustness of McCallum's result to endogenous models of the term premium and also its connections to the Taylor Rule. We model the term premium endogenously using two different models in the class of affine term structure models studied in Duffie and Kan (1996): a stochastic volatility model and a stochastic price-of- risk model. We then solve for equilibrium term structures in environments in which interest rate targeting follows a rule such as the one suggested by (i.e., the McCallum Rule). We demonstrate that McCallum's original result generalizes in a natural way to this broader class of models. To understand the connection to the Taylor Rule, we then consider two structural macroeconomic models which have reduced forms that correspond to the two affine models and provide a macroeconomic interpretation of abstract state variables (as in Ang and Piazzesi (2003)). Moreover, such structural models allow us to interpret the parameters of the term-structure model in terms of the parameters governing preferences, technologies, and policy rules. We show how a monetary policy rule will manifest itself in the equilibrium asset-pricing kernel and, hence, the equilibrium term structure. We then show how this policy can be implemented with an interest-rate targeting rule. This provides us with a set of restrictions under which the Taylor and Rules are equivalent in the sense if implementing the same monetary policy. We conclude with some numerical examples that explore the quantitative link between these two models of monetary policy.

This paper examines the predictive ability of the expectations hypothesis of the term structure of interest rates in the BRICS and G7 countries by relating each country’s monthly 3‑month Treasury bill rate to 10‑year government bond rates, from May 2003 to May 2018. The panel ARDL model, applying the mean group (MG), pooled mean group (PMG), and dynamic fixed effects (DFE) estimators, is employed to compare the short‑ and long‑run relationships in both groups of countries. The results show that the expectations hypothesis holds in both BRICS and G7 country groups. In the long run, the short‑term interest rate is able to predict the long-term interest rate in both the BRICS and G7 countries. Interest rates in BRICS indicate rapid adjustment back to the long‑run equilibrium, while the adjustment is sluggish in the G7 block. Based on the findings of the study, the sluggish adjustment to the equilibrium in the G7 gives the impression that the financial crisis had an impact on the term structure of interest rates as the G7 countries were directly affected by the crisis.

The influence of real interest rates and risk premium effects on the ability of the nominal term structure to forecast inflation

Purpose: The aim of the study was to assess the effect of interest rate changes on stock market volatility in Congo. Methodology: This study adopted a desk methodology. A desk study research design is commonly known as secondary data collection. This is basically collecting data from existing resources preferably because of its low cost advantage as compared to a field research. Our current study looked into already published studies and reports as the data was easily accessed through online journals and libraries. Findings: Changes in interest rates have a notable impact on stock market volatility. When central banks adjust interest rates, it influences investor sentiment and economic forecasts. Typically, an increase in interest rates makes borrowing more expensive, which can dampen corporate profits and economic growth, leading to higher market volatility as investors reassess the value of stocks. Conversely, a decrease in interest rates generally lowers borrowing costs, potentially boosting corporate earnings and economic expansion, which can initially reduce market volatility. However, the long-term effects might differ as lower rates can also lead to overvaluation concerns, eventually increasing volatility. Additionally, interest rate changes signal monetary policy shifts and broader economic conditions, further influencing investor behavior and stock market dynamics. Overall, interest rate fluctuations are a critical factor contributing to stock market volatility through their direct and indirect effects on economic activities and investor perceptions. Implications to Theory, Practice and Policy: Efficient market hypothesis, portfolio theory and behavioral finance theory may be used to anchor future studies on assessing the effect of interest rate changes on stock market volatility in Congo. For practical implications, investors and financial institutions should develop risk management strategies that account for the short-term volatility spikes following interest rate announcements. From a policy perspective, policymakers should consider the lagged effects of interest rate changes when formulating monetary policy to ensure smoother market transitions.