
Overview
The student will work on designing new numerical methods based on hierarchical adaptive sparse grids quadratures combined with Fourier techniques for efficient pricing of high-dimensional (multi-assets) European Options.
Key Facts
Specifically, the student will contemplate the possibility of finding a heuristic framework for an optimal choice of the integration contour (damping parameter) which controls the analyticity of the integrand in the Fourier space and hence accelerate the performance of the quadrature methods.
He will also develop a systematic comparison between hierarchical deterministic quadrature methods, Tensor Product (TP) quadrature, Smolyak (SM) Sparse Grids quadrature, and Adaptive Sparse Grids (ASG) quadrature to numerically evaluate the option price under different pricing dynamics, Geometric Brownian Motion (GBM), Variance Gamma (VG) and Normal Inverse Gaussian (NIG) for different multi-asset payoff functions such as Basket Call/Put and Rainbow options.
The Efficient Pricing of High-dimensional (Multi-assets) European Options (Internship) project is offered at King Abdullah University of Science and Technology (KAUST) .
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Visit programme websiteProgramme Structure
- The student is also asked to elaborate a comparison in terms of computational complexity against the quadrature methods for different dimensions, and various combination of parameter sets within the mentioned pricing models.
Check out the full curriculum
Visit programme websiteKey information
Duration
- Part-time
- 3 months
Start dates & application deadlines
- All year around
Language
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Delivered
Disciplines
Mathematics Computer Sciences View 9 other Short Courses in Mathematics in Saudi ArabiaExplore more key information
Visit programme websiteWhat students do after studying
Academic requirements
English requirements
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Other requirements
General requirements
- Official Transcript(s) in English from current and previous institutions
- Letter of Recommendation from faculty member in field of study
- Valid Passport(with six months validity)
- CV - Summary of your career, qualifications and education.
- Statement of Purpose-Explain your motivation to become a VSRP intern
Student insurance
Make sure to cover your health, travel, and stay while studying abroad. Even global coverages can miss important items, so make sure your student insurance ticks all the following:
- Additional medical costs (i.e. dental)
- Repatriation, if something happens to you or your family
- Liability
- Home contents and baggage
- Accidents
- Legal aid
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Make sure you meet all requirements
Visit programme websiteTuition Fee
-
International
FreeTuition FeeBased on the tuition of 0 SAR per year during 3 months. -
National
FreeTuition FeeBased on the tuition of 0 SAR per year during 3 months.
- This is a fully-funded internship; it includes tuition, airfare, housing, medical insurance, visa reimbursement and a monthly stipend of $1,000.
Living costs for Thuwal
The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.
Funding
The KAUST Fellowship includes:
- Full coverage of tuition and bench fees (worth USD $35,000 per year)
- A monthly stipend (worth USD $20,000 per year for PG Diploma and M.S. students, and USD $25,000 to $30,000 for Ph.D. students depending on qualifications and academic progress)
- On-campus housing (worth USD $7,000 per year and covering utilities such as electricity and wifi)
- Health insurance (worth USD $1,450 per year)
- Relocation support (visa, relocation and travel costs)