scholarly journals GENERAL ANALYSIS OF LONG-TERM INTEREST RATES

2020 ◽  
Vol 23 (01) ◽  
pp. 2050002
Author(s):  
FRANCESCA BIAGINI ◽  
ALESSANDRO GNOATTO ◽  
MAXIMILIAN HÄRTEL
Keyword(s):  
Interest Rates ◽  
Term Structure ◽  
Applied Mathematics ◽  
Mathematical Finance ◽  
Rational Model ◽  
No Arbitrage ◽  
Working Paper ◽  
Social Discounting ◽  
The Relationship

We introduce here the idea of a long-term swap rate, characterized as the fair rate of an overnight indexed swap (OIS) with infinitely many exchanges. Furthermore, we analyze the relationship between the long-term swap rate, the long-term yield, (F. Biagini, A. Gnoatto & M. Härtel (2018) Affine HJM Framework on [Formula: see text] and long-term yield, Applied Mathematics and Optimization 77 (3), 405–441, F. Biagini & M. Härtel (2014) Behavior of long-term yields in a lévy term structure, International Journal of Theoretical and Applied Finance 17 (3), 1–24, N. El Karoui, A. Frachot & H. Geman (1997) A note on the behavior of long zero coupon rates in a no arbitrage framework. Working Paper. Available at Researchgate: https://www.researchgate.net/publication/5066730) , and the long-term simple rate (D. C. Brody & L. P. Hughston (2016) Social discounting and the long rate of interest, Mathematical Finance 28 (1), 306–334) as long-term discounting rate. Finally, we investigate the existence of these long-term rates in two-term structure methodologies, the Flesaker–Hughston model and the linear-rational model. A numerical example illustrates how our results can be used to estimate the nonoptional component of a CoCo bond.

The Term Structure of Interest Rates and the Evaluation of Forestry Investments: A Note

1988 ◽  
Vol 12 (4) ◽  
pp. 256-258
Author(s):  
F. Christian Zinkhan
Keyword(s):  
Interest Rates ◽  
Term Structure ◽  
Discount Rate ◽  
Net Present Value ◽  
Present Value ◽  
Term Structures ◽  
Forestry Investments ◽  
The Relationship

Abstract The forestry literature generally assumes that the appropriate discount rate to be used in the estimation of a given investment's net present value is the same over its lifetime. However, the values of many alternative investments such as stocks and bonds often reflect term structures that are not flat. That is, the relationship between the number of years to maturity of an investment and that investment's required rate of return is often a significant consideration. This note suggests a procedure for incorporating a consideration of the term structure of interest rates into the determination of a discount rate specific to each annual net cash flow associated with a given long-term forestry investment. Using an actual 10-year case analysis, it was found that the valuation of a timberland tract varied by approximately 11%, depending upon whether or not the term structure of interest rates was recognized. South. J. Appl. For. 12(4):256-258.

scholarly journals What does a term structure model imply about very long-term interest rates?

2021 ◽  
Vol 62 ◽  
pp. 202-219
Author(s):  
Anne G. Balter ◽  
Antoon Pelsser ◽  
Peter C. Schotman
Keyword(s):  
Interest Rates ◽  
Term Structure ◽  
Structure Model ◽  
Term Structure Model

scholarly journals CANDIDE et la monnaie

2009 ◽  
Vol 52 (1) ◽  
pp. 75-103
Author(s):  
Jean-Pierre Aubry ◽  
Pierre Duguay
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Term Structure ◽  
Structural Equations ◽  
Reduced Form ◽  
Real Sector ◽  
Short Term ◽  
The Real ◽  
Structure Equations

Abstract In this paper we deal with the financial sector of CANDIDE 1.1. We are concerned with the determination of the short-term interest rate, the term structure equations, and the channels through which monetary policy influences the real sector. The short-term rate is determined by a straightforward application of Keynesian liquidity preference theory. A serious problem arises from the directly estimated reduced form equation, which implies that the demand for high powered money, but not the demand for actual deposits, is a stable function of income and interest rates. The structural equations imply the opposite. In the term structure equations, allowance is made for the smaller variance of the long-term rates, but insufficient explanation is given for their sharper upward trend. This leads to an overstatement of the significance of the U.S. long-term rate that must perform the explanatory role. Moreover a strong structural hierarchy, by which the long Canada rate wags the industrial rate, is imposed without prior testing. In CANDIDE two channels of monetary influence are recognized: the costs of capital and the availability of credit. They affect the business fixed investment and housing sectors. The potential of the personal consumption sector is not recognized, the wealth and real balance effects are bypassed, the credit availability proxy is incorrect, the interest rate used in the real sector is nominal rather than real, and the specification of the housing sector is dubious.

Yield Curves, Swap Curves, and Term Structure of Interest Rates

2019 ◽  
pp. 203-228
Author(s):  
Tom P. Davis ◽  
Dmitri Mossessian
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Term Structure ◽  
Yield Curve ◽  
Yield Curves ◽  
No Arbitrage ◽  
Interest Rate Swap ◽  
The Interest Rate ◽  
Rate Swap ◽  
The U.S

This chapter discusses multiple definitions of the yield curve and provides a conceptual understanding on the construction of yield curves for several markets. It reviews several definitions of the yield curve and examines the basic principles of the arbitrage-free pricing as they apply to yield curve construction. The chapter also reviews cases in which the no-arbitrage assumption is dropped from the yield curve, and then moves to specifics of the arbitrage-free curve construction for bond and swap markets. The concepts of equilibrium and market curves are introduced. The details of construction of both types of the curve are illustrated with examples from the U.S. Treasury market and the U.S. interest rate swap market. The chapter concludes by examining the major changes to the swap curve construction process caused by the financial crisis of 2007–2008 that made a profound impact on the interest rate swap markets.

The Link between German Short- and Long-Term Interest Rates. Some Evidence against a Term Structure Oriented Monetary Policy / Der Zusammenhang zwischen kurz- und langfristigen Zinssätzen in Deutschland. Empirische Evidenz gegen eine zinsstrukturorientierte Geldpolitik

1998 ◽  
Vol 217 (2) ◽  
Author(s):  
Uwe Hassler ◽  
Dieter Nautz
Keyword(s):  
Monetary Policy ◽  
Central Bank ◽  
Interest Rates ◽  
Term Structure ◽  
Monetary Union ◽  
Stable Relationship ◽  
Monetary Targeting ◽  
Main Indicator ◽  
Short And Long Term

SummaryCritics of the Bundesbank's monetary policy recently suggested the abandonment of monetary targeting in favour of the term structure of interest rates as the main indicator of central bank policy. However, a term structure oriented policy requires a reliable link between short- and long-term interest rates. Our analysis clearly suggests that there is no stable relationship between German short- and long-term interest rates, in particular not after the German monetary union. Consequently, the empirical results of this paper indicate that this policy has not much chance of success.

scholarly journals The term structure of interest rates and inflation forecast targeting

2011 ◽  
Vol 12 (2) ◽  
pp. 162-179
Author(s):  
Eric Schaling ◽  
Willem Verhagen ◽  
Sylvester Eiffinger
Keyword(s):  
Interest Rate ◽  
Central Bank ◽  
Interest Rates ◽  
Term Structure ◽  
Inflation Targeting ◽  
Nominal Interest Rate ◽  
Term Spread ◽  
State Of The Economy ◽  
Output Persistence

This paper examines the implications of the expectations theory of the term structure of interest rates for the implementation of inflation targeting. We show that the responsiveness of the central bank’s instrument to the underlying state of the economy is increasing in the duration of the long-term bond.  On the other hand, an increase in duration will make long-term inflationary expectations - and therefore also the long-term nominal interest rate - less responsive to the state of the economy. The extent to which the central bank is concerned with output stabilisation will exert a moderating influence on the central bank’s response to leading indicators of future inflation. However, the effect of an increase in this parameter on the long-term nominal interest rate turns out to be ambiguous. Next, we show that both the sensitivity of the nominal term spread to economic fundamentals and the extent to which the spread predicts future output, are increasing in the duration of the long bond and the degree of structural output persistence. However, if the central bank becomes relatively less concerned about inflation stabilisation the term spread will be less successful in predicting real economic activity.

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