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Quotation Estimate Mathematician in Germany Berlin –Free Word Template Download with AI

Apex Mathematical Consulting GmbH

Unter den Linden 42, 10117 Berlin, Germany

Phone: +49 30 5555 0182 | Email: [email protected]

USt-IdNr.: DE 312 456 789

Quotation Estimate No.QTE-2025-BER-0472
Date of Issue14 June 2025
Valid Until14 July 2025 (30 calendar days)
Prepared ForDr. Katharina Vogel – Head of R&D, Nordwind Analytics AG, Friedrichstraße 180, 10117 Berlin, Germany
Prepared ByProf. Dr. Markus Stein – Senior Mathematician, Apex Mathematical Consulting GmbH
Project ReferenceStochastic Modelling & Optimization – Phase II
CurrencyEuro (EUR)

This Quotation Estimate is issued by Apex Mathematical Consulting GmbH to provide a comprehensive and itemized financial projection for the engagement of a senior Mathematician to support Nordwind Analytics AG in the development, validation, and deployment of advanced stochastic models for their quantitative risk-assessment platform. The Mathematician will be based in Germany Berlin, working primarily from the client's offices at Friedrichstraße 180, with an estimated 70% on-site presence and 30% remote collaboration. This Quotation Estimate covers a twelve-month engagement period commencing 1 September 2025 and concluding 31 August 2026, unless otherwise extended by mutual written agreement.

The Mathematician engaged under this Quotation Estimate shall deliver the following core services:

  • Design and implementation of Monte Carlo simulation frameworks for multi-asset portfolio risk modelling.
  • Development of partial differential equation (PDE) solvers for derivative pricing under stochastic volatility regimes.
  • Statistical validation and back-testing of existing quantitative models against historical market data.
  • Authorship of technical documentation, white papers, and peer-review-ready methodology reports.
  • Weekly consultation sessions with the client's data-science and engineering teams in Germany Berlin.
  • Participation in up to four (4) on-site workshops per quarter at the client's Berlin headquarters.
  • Ad-hoc mathematical advisory support, capped at 40 hours per calendar month.
Item Description Unit Qty Rate (EUR) Amount (EUR)
3.1 Senior Mathematician – Core Consulting (on-site, Germany Berlin) Hour 1,440 185.00 266,400.00
3.2 Senior Mathematician – Remote Advisory & Asynchronous Support Hour 480 155.00 74,400.00
3.3 Specialized Software Licences (MATLAB, Julia, Gurobi – annual) Year 1 12,800.00 12,800.00
3.4 High-Performance Computing Cloud Allocation (AWS Frankfurt region) Month 12 3,200.00 38,400.00
3.5 Technical Documentation & Report Authoring (per deliverable) Report 6 4,500.00 27,000.00
3.6 On-Site Workshop Facilitation (Germany Berlin, per session) Session 16 2,200.00 35,200.00
3.7 Travel & Local Transport within Berlin (estimated) Month 12 350.00 4,200.00
3.8 Project Management & Coordination Overhead (10%) — 1 — 45,840.00
Subtotal (excl. VAT) 504,440.00
VAT (Umsatzsteuer) – 19% (Germany) 95,843.60
TOTAL (incl. VAT) 600,283.60

Payment for the services outlined in this Quotation Estimate shall be made via bank transfer (SEPA) to the account of Apex Mathematical Consulting GmbH, IBAN: DE89 3704 0044 0532 0130 00, BIC: COBADEFFXXX. Invoices will be issued monthly in arrears. Payment is due within 30 days of the invoice date in accordance with § 288 of the German Civil Code (BGB). Late payments shall accrue interest at the statutory rate of 8 percentage points above the ECB base rate for business-to-business transactions.

  1. This Quotation Estimate is valid for thirty (30) calendar days from the date of issue. After the expiry date, all rates and availability are subject to re-confirmation in writing.
  2. The Mathematician engaged under this Quotation Estimate shall comply with all applicable data-protection regulations, including the EU General Data Protection Regulation (GDPR) and the German Federal Data Protection Act (BDSG).
  3. All intellectual property created specifically for the client during the engagement period shall vest in Nordwind Analytics AG upon full payment, unless otherwise stipulated in a separate IP assignment agreement.
  4. Either party may terminate this engagement with a written notice period of sixty (60) days. In the event of early termination, all services rendered up to the termination date shall be invoiced in full.
  5. This Quotation Estimate does not constitute a binding contract until countersigned by both parties. The definitive terms shall be governed by the Master Services Agreement (MSA) dated 01 March 2025 between the parties.
  6. Disputes arising from this Quotation Estimate or the resulting engagement shall be subject to the exclusive jurisdiction of the courts of Berlin, Germany.
  7. All communications regarding this Quotation Estimate shall be conducted in English, with official legal documents available in German upon request.

By signing below, the client acknowledges receipt of this Quotation Estimate and authorizes Apex Mathematical Consulting GmbH to proceed with the engagement of the Mathematician as described herein. This acceptance does not waive any rights under the governing Master Services Agreement.

For and on behalf of Nordwind Analytics AG

Name: ______________________________

Title: ______________________________

Signature: ______________________________

Date: ______________________________

For and on behalf of Apex Mathematical Consulting GmbH

Name: Prof. Dr. Markus Stein

Title: Managing Director

Signature: ______________________________

Date: ______________________________

Apex Mathematical Consulting GmbH | Unter den Linden 42, 10117 Berlin, Germany | HRB 123456 B, Amtsgericht Charlottenburg

This Quotation Estimate was generated electronically and is valid without a physical seal. Document ID: QTE-2025-BER-0472 | Page 1 of 1

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