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**1 - 3**of**3**### Consistent fitting of one-factor models to interest rate data

, 2000

"... We describe a full maximum-likelihood fitting method of the popular single-factor Vasicek and Cox–Ingersoll–Ross models and carry this out for term-structure data from the UK and US. This method contrasts with the usual practice of performing a day-by-day fit. We also compare the results with some m ..."

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We describe a full maximum-likelihood fitting method of the popular single-factor Vasicek and Cox–Ingersoll–Ross models and carry this out for term-structure data from the UK and US. This method contrasts with the usual practice of performing a day-by-day fit. We also compare the results with some more crude econometric analyses on the same data sets. © 2000 Elsevier Science B.V. All rights reserved.

### Time in Yrs Annual Coupon Market Price

"... The ordinary bootstrap method for computing forward rates from zero rates generates posynomial equations as introduced in an area of optimization termed geometric programming invented by Duffin, Peterson, and Zener [6]. posynomial disc. fns e−zk(tk−t0) �k−1 = i=0 x (ti+1−ti) i,i+1, k = 1,... express ..."

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The ordinary bootstrap method for computing forward rates from zero rates generates posynomial equations as introduced in an area of optimization termed geometric programming invented by Duffin, Peterson, and Zener [6]. posynomial disc. fns e−zk(tk−t0) �k−1 = i=0 x (ti+1−ti) i,i+1, k = 1,... express the forward rates zk(tk − t0) = � k−1 i=0 fi,i+1(ti+1 − ti), where xi,i+1 = e −fi,i+1 in Tables 2–4. Note that the are n equations in m unknowns (n = m =5). Ordinary bootstrapping does not work when n � = m, eg., if there were no 0.5 time T–Bill. 1 (1)

### Julián Manzano ∗ Division of Applied Physics. Institute of Physics and Measurement Technology.

, 2003

"... Positive forward rates in the maximum smoothness framework ..."

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