Invoice Mathematician in Turkey Istanbul –Free Word Template Download with AI
Advanced Mathematical Consulting Services
Address: Nişantaşı, Abdi İpekçi Caddesi No: 42/7, Şişli, 34365 Istanbul, Turkey
Tax ID (Vergi No): 1234567890
VAT Number (VKN): 12345678901
Email: [email protected] | Phone: +90 212 555 0147
Bill To (Client)
Company: Anatolia Financial Technologies A.Ş.
Attention: Ms. Selin Demir, Head of Quantitative Research
Address: Maslak, Büyükdere Caddesi No: 180, Kat 12, Sarıyer, 34480 Istanbul, Turkey
Tax ID: 9876543210
VAT Number: 98765432101
Email: [email protected]
Service Provider
Name: Dr. Emre Kaya, Ph.D. in Applied Mathematics
Specialization: Stochastic Calculus, Numerical Optimization, Cryptographic Mathematics
Location: Istanbul, Turkey
Professional License: TMMOB Member No. 45210
Bank: İş Bankası A.Ş., Istanbul Branch
IBAN: TR33 0006 4000 0011 2345 6789 01
| No. | Description of Mathematical Services | Date Performed | Hours | Rate (TRY) | Amount (TRY) | VAT % |
|---|---|---|---|---|---|---|
| 1 | Design and implementation of a stochastic differential equation model for derivative pricing, including Monte Carlo simulation framework and sensitivity analysis. Delivered as a comprehensive mathematical report with Python codebase. | 02 Jun 2025 | 24 | 2,800.00 | 67,200.00 | 20 |
| 2 | Optimization of portfolio risk allocation using convex optimization techniques and Lagrangian duality. Includes derivation of closed-form solutions and numerical verification for 500-asset portfolios. | 05 Jun 2025 | 16 | 2,800.00 | 44,800.00 | 20 |
| 3 | Cryptographic protocol review: mathematical proof of security for elliptic curve-based key exchange mechanism. Formal verification using ZF set theory axioms and computational complexity analysis. | 09 Jun 2025 | 20 | 3,200.00 | 64,000.00 | 20 |
| 4 | On-site workshop (Istanbul, Maslak office) for the quantitative research team: advanced topics in functional analysis, Banach space theory, and their applications to machine learning model convergence proofs. Duration: 2 full days. | 12 Jun 2025 | 16 | 3,500.00 | 56,000.00 | 20 |
| 5 | Preparation of a peer-reviewed mathematical paper on topological data analysis for financial time series, to be submitted to a Q1 journal. Includes all derivations, proofs, and editorial revisions. | 14 Jun 2025 | 32 | 2,500.00 | 80,000.00 | 20 |
| Subtotal (TRY) | 312,000.00 |
| VAT (KDV) – 20% (TRY) | 62,400.00 |
| Withholding Tax (Stopaj) – 20% (TRY) | -62,400.00 |
| Net Payable Amount (TRY) | 312,000.00 |
Notes & Terms
1. This invoice is issued in accordance with the Turkish Commercial Code (Türk Ticaret Kanunu) and the General Communiqué on Accounting Standards (Muhasebe Uygulama Genel Tebliği) of the Republic of Turkey.
2. All mathematical deliverables, including proofs, code, and reports, remain the intellectual property of the client upon full payment. The Mathematician retains the right to publish anonymized theoretical results in academic journals.
3. Payment is due within 15 calendar days from the issue date via bank transfer to the IBAN specified above. Late payments shall accrue interest at the statutory rate determined by the Central Bank of the Republic of Turkey (TCMB).
4. This invoice is valid for 30 days from the issue date. After this period, the invoice must be re-issued with updated tax calculations if applicable rates have changed.
5. All services were performed in Istanbul, Turkey, and are subject to Turkish VAT (KDV) regulations. The 20% withholding tax (stopaj) has been applied as required for professional services rendered by a natural person in Turkey.
6. For any disputes arising from this invoice, the courts of Istanbul, Turkey shall have exclusive jurisdiction.
Payment Instructions
Beneficiary: Dr. Emre Kaya
Bank: İş Bankası A.Ş. – Istanbul Şubesi
IBAN: TR33 0006 4000 0011 2345 6789 01
SWIFT/BIC: ISBA TR IS
Reference: INV-2025-IST-00487
Payment Currency: Turkish Lira (TRY / TL)
Payment Method: Bank Transfer (Havale / EFT)
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