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Kitty Maccoll

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So mathematical models are stochastic. Individual investors with institutional problems ... Our stochastic model Global CAP:Link meets these requirements and more... – PowerPoint PPT presentation

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Title: Kitty Maccoll


1
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Asset Allocation and Stochastic Modelling
  • Effective use in financial planning

3
Introduction
  • Decline in guaranteed products changes the
    emphasis of advice
  • Clients need good investment advice
  • And they need it explained to them
  • Asset allocation is the most important investment
    decision
  • Decisions on long term asset allocation are
    always based on some sort of model
  • Investments are uncertain
  • So mathematical models are stochastic

4
Individual investors with institutional problems
  • As defined benefit products disappear, investment
    risk becomes more important for retirement
    planning
  • Responsibility falls to advisers
  • That means
  • Making good decisions
  • Making sure investors understand
  • Fortunately faster computers, the internet and
    the market allow
  • Institutional solutions for individual investors

5
Decisions and explanations
  • Advice process typically involves
  • Needs analysis
  • Risk profile (ATR)
  • Product selection (Asset allocation)
  • In moving from needs to product solutions, we
    need to
  • Explain risk to investor
  • Compare alternative strategies
  • Decide on a course of action
  • Monitor and update
  • We can help do this

6
For long term investors high equity exposure
doesnt mean high risk
7
Fund Profile Modelling and portfolio efficiency
8
But in the short term cash can be king
9
With income drawdown you can be too cautious
10
With profits vs. unit linked
11
Where do these comparisons come from?
  • A model!
  • What does a model need to do
  • Forecast outcomes need sensible returns
  • Range of outcomes need a stochastic model
  • Range of assets need a multi asset model
  • Global markets need currency and global model
  • Retirement planning need annuity prices and
    interest rates
  • Real understanding real terms results need
    inflation forecast
  • Its a complex world thats being modelled

12
Many models are available
  • Our tools arent tied to a particular model
  • But, any model that meets the requirements from
    the previous slides will be complex
  • Our stochastic model Global CAPLink meets these
    requirements and more.
  • Actually built for a greater list of requirements
  • In development for over 15 years
  • Originally used for institutional asset and
    liability management
  • Cheaper computers mean it can now be used for
    retail investors

13
Global CAPLink main relationships
Short Long Interest Rates and Full Treasury
Yield Curve
Real GDP
Price Inflation
Equity Earnings Yield
Equity Earnings Growth Rate
Currency Strength
Cash Treasury Bond Income and Total Return
Equity Income and Total Return
14
Global CAPLink relationships extended
Core
Wage Inflation
Additional Inflation
Aa Corporate Yield Curve
Index-Linked Yield Curve
Additional GDP
B Corporate Yield Curve
Additional Economic Variables
Additional Yield Curves
Derived Asset Classes, e.g. property, small cap
equities, etc
15
And made global
  • Key Links Are
  • Currencies
  • Bond yields
  • Earnings yields

U.S.A
Other Countries
UK Europe
Japan
16
Global CAPLink how is it built?
  • Start with the relationships it needs to model
  • Write down equations which capture those
    relationships
  • drt f1(ru - rt)dt f2(rt, pt,)dt f3(rt)dZ1
  • Calibrate parameters to match
  • Historical data
  • Current market conditions
  • Test the calibration and its implications for the
    required purposes

17
Obtaining results from the model theory
  • Model determines a distribution of future
    outcomes for the economy and the market
  • There is no simple formula for the distribution
  • But an equation is what is needed for a Monte
    Carlo calculation
  • A set of scenarios can be generated that matches
    the equation and calculates outcomes for an
    investment product or strategy
  • From these outcomes, a range, average, maximum,
    as appropriate, can be determined

18
CAPLink in practice
  • Calibration updated quarterly
  • Agreed with
  • Historical record
  • Current market
  • Regulators (FSA etc.)
  • Scenarios generated off-line in advance
  • Number of scenarios and modelled assets are
    produced as required for each deployment
  • Holistic product range taking account of assets,
    contributions, income, fees/charges, tax and
    guarantees

19
New challenges for any model
  • Side by side comparison of variable annuities to
    help decide between products
  • Range of funds is a key consideration so need to
    capture fine distinctions between funds in a
    systematic way
  • Also need links to
  • Inflation
  • Guarantee terms
  • Fee structures
  • We can do this with CAPLink

20
Thanks to all our sponsors
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