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Measuring volatility and its impact
             Xavier Cirera


             Date: 02:02:2012
Outline
Volatility measurement

Volatility impact

Volatility differences

Volatility causes

Some final thoughts
Measures of volatility

Main measures of variations in agricultural prices over time

   Unconditional standard deviation of prices over a period of time –
   assume that past realizations of level and volatility do not affect future
   realization – ignores distinction between predictable and unpredictable
   price changes – some changes are predictable

   Key question is whether we are interested in all price variability or only
   on the unpredictable part

   Test for whether price series are trend or difference stationary –in first
   case shock has temporary effect in second cases shocks are permanent
   – (problem when there is a structural break)

   Easy solution de-trend prices – predictable part captured by a time trend
   and unpredictable by the error term – volatility is defined as the variance
   of the error term
Measures of volatility
More sophisticated measures
  Autoregressive Conditional Heteroskedasticity (ARCH) or
  Generalized Autoregressive Conditional Heteroskedasticity
  (GARCH) – future prediction is conditional to previous realizations

    – Based on an AR model estimates volatility based on a function
      of the past residuals (ARCH) and past volatility (GARCH)

    – The predictable part is modelled according to past realizations

    – Lower volatility than unconditional measures

       0   e  ...   e
      t
       2          2
                1 t 1
                              2
                            p t p

       0   e  ...   e  1 1  ...   p p
      t
       2          2
                1 t 1
                              2
                            p t p
                                       2           2
Volatility impact

Why volatility matters?.... Not obvious
  The impact depends on capacity of producers to affect prices, pass-
  through to producers and consumers and the degree of risk aversion.

   Unpredictable volatility creates risk for producers and consumers –
   sub-optimal decisions for production, investment and consumption

   Farmers without access to financial services may not be able to
   transfer income from one period to another, therefore household
   welfare and farm viability is there threatened by large volatility.

   Farmers will invest in inputs and as risk increases substantially reduce
   investments, which will have negative long-term impacts on farm
   productivity
Volatility impact
For whom matters most?.... Not obvious
   Clear negative impact on producers and on misallocation of resources

   The impact on consumers will depend on their capacity to adjust and
   substitute goods in their consumption basket – theoretically depending
   on income and price elasticy of demand and risk aversion, consumers
   could benefit from price volatility (evidence?)

   Speculators can benefit from price volatility

   Impact is complex - most rural households are both producers and
   consumers

   However, it is important to keep in mind that the distributional impact of
   volatility may be quite different from the distributional impact of high
   food prices
Volatility differences


Volatility depends on price transmission, which depends on:
 – how well integrated markets are, globally and nationally;
 – whether countries are net importers or net exporters; and
 – the extent of government interventions and price distortions

Volatility of producer prices tends to be larger than volatility of
consumer prices

Volatility of domestic prices (what should matter most) use to be
larger than volatility of international prices – but some evidence
that this has changed in recent years – different sources of
volatility
Volatility causes

Climate change shocks
Demand shocks
Link with energy markets
Traders activity and speculation
Depleted stocks making price management difficult
Government policies - export restrictions, import tariffs,..

It is important to distinguish the impact of these factors on the price level
and on price volatility

Also each determinant has very different implications for policies to
reduce volatility – difficult to manage the impact climate change shocks,
or more importantly large demand shocks
Some final thoughts

Important to separate conceptually food price volatility from high food
prices – this is important to understand the welfare effects and the
policy responses

But clearly both are correlated, so key question (for me) is whether
price volatility matters more when price levels are high? (for example
by making more difficult for producers to take advantage of high
prices)

Some important question for discussion:
 - For whom volatility matters and what is the main impact?
 - What causes volatility and how this relates to high food prices?
 - What are the main policy options to reduce volatility?
THANK YOU

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Xavier Cirera: Measuring volatility and its impact

  • 1. Measuring volatility and its impact Xavier Cirera Date: 02:02:2012
  • 2. Outline Volatility measurement Volatility impact Volatility differences Volatility causes Some final thoughts
  • 3. Measures of volatility Main measures of variations in agricultural prices over time Unconditional standard deviation of prices over a period of time – assume that past realizations of level and volatility do not affect future realization – ignores distinction between predictable and unpredictable price changes – some changes are predictable Key question is whether we are interested in all price variability or only on the unpredictable part Test for whether price series are trend or difference stationary –in first case shock has temporary effect in second cases shocks are permanent – (problem when there is a structural break) Easy solution de-trend prices – predictable part captured by a time trend and unpredictable by the error term – volatility is defined as the variance of the error term
  • 4. Measures of volatility More sophisticated measures Autoregressive Conditional Heteroskedasticity (ARCH) or Generalized Autoregressive Conditional Heteroskedasticity (GARCH) – future prediction is conditional to previous realizations – Based on an AR model estimates volatility based on a function of the past residuals (ARCH) and past volatility (GARCH) – The predictable part is modelled according to past realizations – Lower volatility than unconditional measures    0   e  ...   e t 2 2 1 t 1 2 p t p    0   e  ...   e  1 1  ...   p p t 2 2 1 t 1 2 p t p 2 2
  • 5. Volatility impact Why volatility matters?.... Not obvious The impact depends on capacity of producers to affect prices, pass- through to producers and consumers and the degree of risk aversion. Unpredictable volatility creates risk for producers and consumers – sub-optimal decisions for production, investment and consumption Farmers without access to financial services may not be able to transfer income from one period to another, therefore household welfare and farm viability is there threatened by large volatility. Farmers will invest in inputs and as risk increases substantially reduce investments, which will have negative long-term impacts on farm productivity
  • 6. Volatility impact For whom matters most?.... Not obvious Clear negative impact on producers and on misallocation of resources The impact on consumers will depend on their capacity to adjust and substitute goods in their consumption basket – theoretically depending on income and price elasticy of demand and risk aversion, consumers could benefit from price volatility (evidence?) Speculators can benefit from price volatility Impact is complex - most rural households are both producers and consumers However, it is important to keep in mind that the distributional impact of volatility may be quite different from the distributional impact of high food prices
  • 7. Volatility differences Volatility depends on price transmission, which depends on: – how well integrated markets are, globally and nationally; – whether countries are net importers or net exporters; and – the extent of government interventions and price distortions Volatility of producer prices tends to be larger than volatility of consumer prices Volatility of domestic prices (what should matter most) use to be larger than volatility of international prices – but some evidence that this has changed in recent years – different sources of volatility
  • 8. Volatility causes Climate change shocks Demand shocks Link with energy markets Traders activity and speculation Depleted stocks making price management difficult Government policies - export restrictions, import tariffs,.. It is important to distinguish the impact of these factors on the price level and on price volatility Also each determinant has very different implications for policies to reduce volatility – difficult to manage the impact climate change shocks, or more importantly large demand shocks
  • 9. Some final thoughts Important to separate conceptually food price volatility from high food prices – this is important to understand the welfare effects and the policy responses But clearly both are correlated, so key question (for me) is whether price volatility matters more when price levels are high? (for example by making more difficult for producers to take advantage of high prices) Some important question for discussion: - For whom volatility matters and what is the main impact? - What causes volatility and how this relates to high food prices? - What are the main policy options to reduce volatility?