... arguments to set up the return on the portfolio equal to the risk- freerateThe risk- freerate is just the spot ratePricingof convertible bond with credit risk and stochastic interest rate 41 Choose ... formula for their price We first establish theoretical formulas for numeraire change in the general case then in the case ofthe Hull and White model in the previous section Then we calculate the ... use for American or Bermudan style options The other major approach ofthe second category is to describe the evolution ofthe instantaneous rateof interest, therate that applies over the next...
... billion during the first half of 2011, slightly behind the EUR 55 billion recorded in the first half of 2010 Long-term UCITS attracted EUR 87 billion during the first half ofthe year, down from ... (Second Quarter of 2011) Trends in the European Investment Fund Industry Net Assets by Country of Domiciliation The combined assets ofthe investment fund market in Europe, i.e the market for UCITS ... segment ofthe business accounted for just over 73 percent ofthe fund market at end June 2011, withthe remaining 27 percent composed of non-UCITS Table Net Assets ofthe European Investm ent Fund...
... UCITS, this segment ofthe business accounted for almost 71 percent ofthe fund market at end June 2012, withthe remaining 29 percent composed of non-UCITS Table Net Assets ofthe European Investm ... (Second Quarter of 2012) Trends in the European Investment Fund Industry Net Assets by Country of Domiciliation The combined assets ofthe investment fund market in Europe, i.e the market for UCITS ... during the quarter (4.1%), and net assets of balanced funds reduced by 2.1 percent Funds of funds registered an increase in net assets of 1.7 percent during the quarter Over the first half of 2012,...
... This segment information was prepared in accordance with rules for consolidated financial statements Therefore, all profit and loss from the transfer ofthe substitutional portion ofthe employees’ ... million, a 1.5 percent decrease from the same period in the previous fiscal year The decrease reflected the substantial effect ofthe transfer ofthe ATM and other information equipment business to ... accounted for by the equity method Figures forthe nine months ended December 31, 2005 and the forecast forthe year ending March 31, 2006 include transfer of substitutional portion of employees’...
... B(n)/n! with O(n−9/2 ln19 n) The following extension of Theorem (the case m = 3) giving a complete asymptotic expansion of I(n, x) can be immediately read out of its proof the electronic journal of ... are the Hermite polynomials defined before Theorem and the S2q are defined in Theorem In particular, we have a complete asymptotic expansion for B(n)/n! when n is even See Corollaries 2, for other ... ln−3/2 n) In particular, B(n)/n! has the same asymptoticthe electronic journal of combinatorics (2000), #R50 Proof Theasymptotic expansion for b(n, k)/n! when 2k = n ± xn3/2 /3 where x2 = x2...
... compact set of values for r Then the continuity of G as a function of u with respect to the C ∞ -topology easily follows Regularity of null surfaces The goal of this section is to establish the following ... integral operators with complex phase, where both the phase and the symbol are smooth precisely on the scale ofthe localization provided by the imaginary part ofthe phase The work of Klainerman-Rodnianski ... existence forthe case of smooth, compactly supported data of small norm, namely Proposition 3.1 In Section we present the proof of Proposition 3.1 by the continuity method At the heart of this proof...
... interest rates are one ofthe main drivers ofthe rates charged by banks on loans The interest rates set by Central Bank affect the interbank rates, which are the basis ofthe process of defining the ... another prime bank The first is a real interest rate, while the second is an offered rateThe EONIA is therefore more sensitive to expectations about the ECB's official interest rates, while the ... available information, together withthe parameter estimates Extending the bivariate VAR(p) model (7) in order to allow thevariance covariance matrix ofthe errors, the intercept term ofthe multivariate...
... that two months of consolidated resultsfor six of Sony’s retail businesses were included within All Other in the same quarter ofthe previous fiscal year However, theresultsof these businesses ... effect of other income and expenses The lower net effect of other income and expenses was a result ofthe recording of a net foreign exchange loss in the current quarter versus the net foreign ... primarily the result of a positive impact from the depreciation ofthe yen versus the U.S dollar and the Euro, as well as an increase in sales With regard to products within the Electronics segment, the...
... and their impact on the condensed set of financial statements; and a description ofthe principal risks and uncertainties forthe remaining six months ofthe year; and (b) DTR 4.2.8R ofthe Disclosure ... largely as a result of lower returns on cash and bonds in South Africa Fortheresultsforthe six months to 30 June 2012 the IFRS operating resultsofthe African businesses of Zimbabwe, Kenya, ... £65.5 billion, with positive NCCF, higher equity markets at the end ofthe period and the addition of £3.9 billion of FUM for OMAM UK forthe first time FUM included UK assets of £34.2 billion...
... materially different from the forecasts (earnings forecast, dividend forecast, and other forecasts) With respect to this forecast, please refer to pages for "3 Consolidated Financial Forecast." Nintendo ... segment accounts for over 90% of total sales and operating income of all business categories, with no other categories to be reported on the basis of disclosure rules Therefore, this information is ... Consolidated sales units, number of new titles, and sales unit forecast Nintendo DS of which Nintendo DSi Wii Hardware Japan The Americas Other Total Japan The Americas Other Total Software Japan The...
... to the formal extension ofthe contractive condition through the use of more general strictly increasing functions ofthe distance between adjacent subsets In particular, the uniqueness ofthe ... which all the sequences of iterates of composed self-mappings T : A ∪ B → A ∪ B converge is proven in [14] forthe extension ofthe contractive principle for cyclic self-mappings in uniformly convex ... and closed The research in [14] is centred on the case ofthe cyclic self-mapping being defined on the union of two subsets ofthe metric space Those results are extended in [15] for Meir-Keeler...
... Cp denote the ring of p-adic integers, the field of p-adic numbers, and the completion ofthe algebraic closure of Qp , respectively Let | · |p be the p-adic norm on Q with |p|p = p−1 For convenience, ... formulas forthe q-Bernoulli and q-Euler polynomials which will be used to prove the main resultsof this article 3 In Section 4, we construct the q-analogue ofthe Riemann’s ζ-functions, the Hurwitz ... completes the proof Remark 3.2 The remarkable point is that the series on the right-hand side of Lemma 3.1 is uniformly convergent in the wider sense From (2.13)and (2.14), we define the q-Bernoulli...
... Cp denote the ring of p-adic integers, the field of p-adic numbers, and the completion ofthe algebraic closure of Qp , respectively Let | · |p be the p-adic norm on Q with |p|p = p−1 For convenience, ... formulas forthe q-Bernoulli and q-Euler polynomials which will be used to prove the main resultsof this article 3 In Section 4, we construct the q-analogue ofthe Riemann’s ζ-functions, the Hurwitz ... completes the proof Remark 3.2 The remarkable point is that the series on the right-hand side of Lemma 3.1 is uniformly convergent in the wider sense From (2.13)and (2.14), we define the q-Bernoulli...
... basic formulas forthe q-Bernoulli and qEuler polynomials which will be used to prove the main resultsof this article In Section 4, we construct the q-analogue ofthe Riemann’s ζ-functions, the ... N→∞ p Page of 16 pN −1 ak (1:3) a=0 (see [15,16]) Notice that, from the definition Bk Î ℚ, and these integrals are independent ofthe prime p which used to compute them The examples of (1.3) are: ... some basic formulas for p-adic q-Bernoulli, p-adic q-Euler numbers and polynomials which will be used to prove the main resultsof this article Let UD(ℤp, ℂp) denote the space of all uniformly (or...
... satisfies the (C) condition, Lemma 2.4 still holds In the present paper, we give an existence theorem and a multiplicity theorem for problem (1.1) Our main results are the following two theorems Theorem ... in the space W1,p(Ω) endowed withthe norm u = (|∇u| + |u| )dx p p p , and the space W1,p(Ω) may be split in the following way Let Wc = 〈1〉, that is, the subspace of W 1,p (Ω) spanned by the ... W1,p(Ω), Therefore, problem (1.1) has at least three distinct solutions in W1,p(Ω) □ Proof of Theorem 2.2 We divide the proof into several lemmas Lemma 3.3 If condition (F3) and (F5) hold, then J|Wcis...
... each ofthe subsets and only the product of all the constants is requested to be less than unity On the other hand, the self-mapping can perform a number of iterations on each ofthe subsets before ... have been performed in the field of cyclic maps are related to the introduction and discussion ofthe so-called cyclic representation of a set M, decomposed as the union of a set of non-empty ... to the next adjacent subset ofthe p(≥ 2) -cyclic self-mapping The existence of a unique closed finite limiting sequence on any sequence of iterates from any initial point in the union of the...
... give a theorem on the reducibility of 1.1 into the form of 1.5 and then obtain asymptotic stability ofthezero solution of 1.1 Reducible systems In this section, we give a theorem on the structure ... the Floquet theory for linear periodic system 1.7 We need the following three well-known theorems 3–5 Theorem 3.1 Let Φ n be the fundamental matrix of 1.1 with Φ n0 Thezero solution of 1.1 is ... theorem on the structure ofthe matrix S n , and provide an example for illustration Theresults in this section are discrete analogues ofthe ones given in Theorem 2.1 The homogeneous linear...
... we recall the statement ofthe Poincar´ e Miranda theorem in the two-dimensional case and we present the general multiplicity theorem on which the proof of our main theorem is based The concluding ... Indeed, the choice of ηi∗ in Lemma 2.5 depends on the particular ρ1 satisfying (2.19) which has been considered For this reason, to get the simplicity ofthe zeros of each component ofthe solutions ... the proof In the same context ofthe above proposition, we are able to provide a relation between the ith initial slope vi (0) of a solution v to system (2.11) and the exact number of zeros of...