DINAMIKA RISET WILL HELP
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Below are some topics which
important for your thesis/dissertation:
An to Options and Markets
What is an option?
Arbitrage
Reading the financial press
What are options for?
Other types of option
Interest rates and present value
The Random Nature of the Stock Market
A simple model for asset prices
Ito's lemma
The elimination of randomness
Basic Option Theory
The value of an option
Strategies and payoff diagrams
Put-call parity
The Black—Scholes analysis
The Black—Scholes equation
Boundary and final conditions
European options
The Black—Scholes formulaEuropean options
Options on dividend-paying assets
American options
Hedging in practice
Implied volatility
Forward and futures contracts
Warrants
Partial Differential Equations
First order linear equations
The diffusion equation
Basic properties of the diffusion equation
Initial and boundary conditions
The initial value problem in a finite interval
The initial value problem on an infinite interval
Forward versus backward
Explicit Solutions of the Diffusion Equation in Fed
Domains
Similarity
An initial value problem
The Black—Scholes equationexplicit
American Options as Free Boundary Problems
Free boundary,
The American put
The American call with dividends
Analysis of the American call option
A local analysis of the free boundary
American Options as Variational Inequalities
Variational inequalities and the obstacle problem .
The obstacle problem
The linear complementarity formulation
The variational inequality formulation
A variational inequality for the American put
A variational inequality for the American call
Dividends and Time-dependent Parameters
Dividends in the Black—Scholes framework
Jump conditions for discrete dividends
A generalisation with explicit formulae
Exotic Options
Exotic and path-dependent options
Binary options
Compound options
Chooser options
Barrier options
Asian options
Lookback options
A unifying framework
Discrete sampling
Barrier Options
The different types of barrier option
An out barrier
An in barrier
Asian Options
Options depending on averages
Continuously sampled averages
Arithmetic averaging
Geometric averaging
Discretely sampled averages
Jump conditions
Arithmetic averaging
Geometric averaging
Similarity reductions
The average strike option
Boundary conditions for the European option
Put-call parity for the European average strike
The American average strike option
Local analysis of the free boundary near expiry
Average strike foreign exchange options
Average rate options
Geometric averaging and discrete samplingGeometric averaging and
continuous sampling
The arithmetic average
Lookback Options
The lookback put
Continuous sampling of the Maximum
The European case
The American case
Discrete sampling of the Maximum
The European case
The American case
Transformation to a single state variable
Some Two 'perpetual options'
Russian options
The stop-loss option
Options with Transaction Costs
Discrete hedging
Portfolios of options
Interest Rate Derivative Products
Basics of bond pricing
Bond pricing with known interest rates
The yield curve
Stochastic interest rates
The bond pricing equation
The market price of risk
Solutions of the bond pricing equation
Analysis for constant parameters
Fitting the parameters
The extended Vasicek model of Hull & White
Bond options
Other interest rate products
Swaps
Caps and floors
Swaptions, captions and floortions
Convertible Bonds
The convertible bond
Call and put features
Convertible bonds with random interest rate
Numerical Methods
General considerations for numerical solution
Efficiency
Outline
Finite-difference Approximations
Simple finite differences
Finite differences for second derivatives
Accuracy of finite-difference Approximations
The finite-difference mesh
The Explicit Finite-difference Method
The explicit finite-difference equations
Appromaxiting an infinite mesh
The explicit finite-difference algorithm
The stability problem
The stability of explicit finite differences
Convergence of the explicit method
A probabilistic interpretation
Implicit Finite-difference Methods
The purpose of implicit methods
The fully implicit method
The invertibility of M
Practical considerations
A general LU solver
An LU solver for tridiagonal systems
The implicit finite-difference algorithm
Stability of the implicit scheme
Convergence of the implicit scheme
The Crank—Nicolson method
Accuracy of the Crank—Nicolson method.The Crank—Nicolson
finite-difference equations
Practical considerations
Stability of the Crank—Nicolson method
The -method
Methods for Free Boundary Problems
The obstacle problem
The projected SOR solution scheme
Projected SOR for the obstacle problem
Methods for American Options
Finite-difference formulation
Solution of the finite-difference problem
Numerical
Convergence of the method
Methods for Exotic Options
Three-dimensional models
Jump conditions
Average strike options
Discretisation of the differential equation
European average strikes
American average strikes
A The Probability Density Function
AThe transition density function
AThe backward problem
AThe forward problem
A Boundary conditions for the forward problem
ARisk neutrality
B First Et Times
BExpected first et times
BCumulative distribution functions for et times
B Relationship with the expected et time.
BMoving averages
BA Et times for moving averages
B The cumulative distribution function
B Crossing of two moving averages
C Lattice Methods
CThe lattice structure
CThe binomial method
C European options
C American options
C Options paying dividends
C Path-dependent options
CTrinomial methods
D Finite-element Methods
DFinite elements and the obstacle problem
D Finite-element formulation
D Implementing the finite-element method
D Solving the finite-element equations
DAmerican options
D Variational inequality formulation
D Finite-element formulation
D Finite-element discretisation
DSolution of the finite-element problem
E
We are experienced Consultant
to help you finish your Thesis/Dissertation
We are located in South
Jakarta, Kuningan, Rasuna Said
of Differential Equations
EVanilla options
EPath-dependent options
EBond pricing
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Sabtu, 27 Desember 2014
Strategies and payoff diagrams
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