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Reaching for Yield

      Yichuan Wang

Michigan Interactive Investments
     University of Michigan


       April 7, 2013
Outline

   Introduction
      Reaching for Yield
      CAPM

   Empirical Data and Results
      Journal Articles
      Regression Data

   Conclusions
      Strategy
      Future Work

   References
Outline

   Introduction
      Reaching for Yield
      CAPM

   Empirical Data and Results
      Journal Articles
      Regression Data

   Conclusions
      Strategy
      Future Work

   References
Reaching for Yield
       When rates of return are low, people go into riskier assets
       Imagine you are a pension manager
           You need to get 3% yield, but Interest rates are very low




                           Figure: Bond Yields
Choice of Assets
       One potential solution: risker stocks – better to go for broke
       than to get fired

             0.4




             0.3




             0.2




             0.1




             0.0

                          −5                 0
                                    Return




                       Figure: Return Distributions
Tangent – CAPM



     Basic idea: risk compensated by return
          Risk: Market Beta
          Return: Alpha
     Standard CAPM:
                               ri ∼ αi + βi rm
     Beta (βi ) – measure of volatility, used to indicate risk, but not
     perfect
          Example: Deep out of the money puts
          But is sufficient for a short term measure of ’reaching for yield’
Example With McDonalds
               0.050




               0.025


                                                                       Year
                                                                              2013
                                                                              2012
                                                                              2011
        MCD




               0.000
                                                                              2010
                                                                              2009
                                                                              2008
                                                                              2007


              −0.025




              −0.050
                  −0.050      −0.025    0.000     0.025        0.050
                                        SPY



                           Figure: MCD vs. SPY Daily Returns
Example with McDonalds
               0.0050




               0.0025


                                                               Year
                                                                      2013
                                                                      2012
                                                                      2011
        MCD




               0.0000
                                                                      2010
                                                                      2009
                                                                      2008
                                                                      2007


              −0.0025




              −0.0050
                   −0.0050   −0.0025   0.0000   0.0025    0.0050
                                       SPY



              Figure: Return Scatterplot – Alpha is the Y-Intercept
Outline

   Introduction
      Reaching for Yield
      CAPM

   Empirical Data and Results
      Journal Articles
      Regression Data

   Conclusions
      Strategy
      Future Work

   References
Insurance Portfolios

       Prevalent in corporate bond market - Abstract from Becker
       and Ivashina [2013]

       ...insurance portfolios are systematically biased toward
       higher yield, higher CDS bonds. Reaching-for-yield ... is
       also more pronounced for firms with poor corporate
       governance and for which regulatory capital requirement
       is more binding. A comparison of the ex-post performance
       of bonds acquired by insurance companies shows no
       outperformance, but higher systematic risk and volatility.

       Matches theory:
        1. Poor corporate governance and binding capital makes ’going
           for broke’ more attractive
        2. Negative sum game – higher risk and volatility
Stock Prices and Portfolio Strategy
       Suggests high beta stocks will earn lower risk-adjusted returns
       when credit is easy
           Risk-adjusted is important – helps filter out the noise from
           market returns
           Easy credit allows firms to lever up to pursue these high risk
           strategies
       Betting against beta factor Frazzini and Pedersen [2010]

       We test the model’s predictions within U.S. equities,
       across 20 global equity markets, for Treasury bonds,
       corporate bonds, and futures. Consistent with the model,
       we find in each asset class that a betting-against-beta
       (BAB) factor which is long a leveraged portfolio of
       low-beta assets and short a portfolio of high-beta assets
       produces significant risk-adjusted returns. When funding
       constraints tighten, betas are compressed towards one,
       and the return of the BAB factor is low.
Portfolio Performance




   Figure: Monthly Alpha (Percent) for Portfolios Sorted into Beta Deciles
Dependence on Funding Conditions




         Figure: Frazzini and Pedersen [2010] BAB Regressions
Stock Price Regressions

       We can see effects of ’Betting against Beta’ in a simple
       regression!
       Take price history of almost all stocks traded on US exchanges
       from available price data from 2007 – Present
           Comprise ∼100% of total market capitalization
       Weight regressions by market capitalization, use robust
       regression (Huber M-Estimator)
       Specification:
        1. Standard CAPM:
                                  ri ∼ αi + βi rm
        2. Betting Against Beta (b):

                                  αi ∼ a + b |βi |
Data Source
      ’Yahoo Finance’, interfaced through open source R:
          Quantmod, TTR, ggplot2




                   Figure: Console Output of Code
Yearly Results

                                                  Reaching for Yield?
                             0.05




                             0.00




                            −0.05
         Beta Coefficient




                            −0.10




                            −0.15




                            −0.20



                                    2007   2008      2009     2010      2011   2012


                                    Figure: Coefficient (b) for 2007 – 2012
Sorted by Market Capitalization

                                                 Reaching for Yield?
                             0.2




                             0.1                                                     BetaSE
                                                                                          0.030

                                                                                          0.025

                             0.0                                                          0.020
         Beta Coefficient




                                                                                          0.015

                                                                                          0.010

                            −0.1
                                                                                     Market Cap

                                                                                         Small

                                                                                         Medium
                            −0.2
                                                                                         Large



                            −0.3



                                   2007   2008      2009    2010       2011   2012


                                    Figure: Divided by Market Capitalization
Outline

   Introduction
      Reaching for Yield
      CAPM

   Empirical Data and Results
      Journal Articles
      Regression Data

   Conclusions
      Strategy
      Future Work

   References
Portfolio Strategy


       Should try to avoid highly volatile stocks – everybody is
       looking for the explosive investment
           Mentioned in BBBY Pitch
           Pitch more than stocks – look for an optimal portfolio, not
           just a good stock
       Betting against beta should be persistent
           Institutional biases
       Caveat:
           Regression data is low R 2 , but Frazzini and Pedersen [2010]
           has more portfolio based evidence
Refinements



     More controls
         Becker and Ivashina [2013] – control for Fama-French, more
         robust estimation
     Longer history of prices
         Can compare slopes with wider range of credit conditions
     Other asset classes
         Could have implications for the corporate debt market
Research Areas



      Relationship between business cycle and ’reaching for yield’
          Becker and Ivashina [2013] – when growth is high
          Frazzini and Pedersen [2010] – when growth (and thus interest
          rates) are low
      Monetary Policy:
          Potential new channel in which nominal shocks have real
          effects
          Need better tools for macroprudential regulation if we want
          extended periods of low interest rates – Stein [2011]
Outline

   Introduction
      Reaching for Yield
      CAPM

   Empirical Data and Results
      Journal Articles
      Regression Data

   Conclusions
      Strategy
      Future Work

   References
Bibliography



   Bo Becker and Victoria Ivashina. Reaching for yield in the bond
     market. Working Paper 18909, National Bureau of Economic
     Research, March 2013. URL
     http://www.nber.org/papers/w18909.
   Andrea Frazzini and Lasse H. Pedersen. Betting against beta.
     Working Paper 16601, National Bureau of Economic Research,
     December 2010. URL http://www.nber.org/papers/w16601.
   Jeremy C. Stein. Monetary policy as financial-stability regulation.
     Working Paper 16883, National Bureau of Economic Research,
     March 2011. URL http://www.nber.org/papers/w16883.

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Reaching for yield

  • 1. Reaching for Yield Yichuan Wang Michigan Interactive Investments University of Michigan April 7, 2013
  • 2. Outline Introduction Reaching for Yield CAPM Empirical Data and Results Journal Articles Regression Data Conclusions Strategy Future Work References
  • 3. Outline Introduction Reaching for Yield CAPM Empirical Data and Results Journal Articles Regression Data Conclusions Strategy Future Work References
  • 4. Reaching for Yield When rates of return are low, people go into riskier assets Imagine you are a pension manager You need to get 3% yield, but Interest rates are very low Figure: Bond Yields
  • 5. Choice of Assets One potential solution: risker stocks – better to go for broke than to get fired 0.4 0.3 0.2 0.1 0.0 −5 0 Return Figure: Return Distributions
  • 6. Tangent – CAPM Basic idea: risk compensated by return Risk: Market Beta Return: Alpha Standard CAPM: ri ∼ αi + βi rm Beta (βi ) – measure of volatility, used to indicate risk, but not perfect Example: Deep out of the money puts But is sufficient for a short term measure of ’reaching for yield’
  • 7. Example With McDonalds 0.050 0.025 Year 2013 2012 2011 MCD 0.000 2010 2009 2008 2007 −0.025 −0.050 −0.050 −0.025 0.000 0.025 0.050 SPY Figure: MCD vs. SPY Daily Returns
  • 8. Example with McDonalds 0.0050 0.0025 Year 2013 2012 2011 MCD 0.0000 2010 2009 2008 2007 −0.0025 −0.0050 −0.0050 −0.0025 0.0000 0.0025 0.0050 SPY Figure: Return Scatterplot – Alpha is the Y-Intercept
  • 9. Outline Introduction Reaching for Yield CAPM Empirical Data and Results Journal Articles Regression Data Conclusions Strategy Future Work References
  • 10. Insurance Portfolios Prevalent in corporate bond market - Abstract from Becker and Ivashina [2013] ...insurance portfolios are systematically biased toward higher yield, higher CDS bonds. Reaching-for-yield ... is also more pronounced for firms with poor corporate governance and for which regulatory capital requirement is more binding. A comparison of the ex-post performance of bonds acquired by insurance companies shows no outperformance, but higher systematic risk and volatility. Matches theory: 1. Poor corporate governance and binding capital makes ’going for broke’ more attractive 2. Negative sum game – higher risk and volatility
  • 11. Stock Prices and Portfolio Strategy Suggests high beta stocks will earn lower risk-adjusted returns when credit is easy Risk-adjusted is important – helps filter out the noise from market returns Easy credit allows firms to lever up to pursue these high risk strategies Betting against beta factor Frazzini and Pedersen [2010] We test the model’s predictions within U.S. equities, across 20 global equity markets, for Treasury bonds, corporate bonds, and futures. Consistent with the model, we find in each asset class that a betting-against-beta (BAB) factor which is long a leveraged portfolio of low-beta assets and short a portfolio of high-beta assets produces significant risk-adjusted returns. When funding constraints tighten, betas are compressed towards one, and the return of the BAB factor is low.
  • 12. Portfolio Performance Figure: Monthly Alpha (Percent) for Portfolios Sorted into Beta Deciles
  • 13. Dependence on Funding Conditions Figure: Frazzini and Pedersen [2010] BAB Regressions
  • 14. Stock Price Regressions We can see effects of ’Betting against Beta’ in a simple regression! Take price history of almost all stocks traded on US exchanges from available price data from 2007 – Present Comprise ∼100% of total market capitalization Weight regressions by market capitalization, use robust regression (Huber M-Estimator) Specification: 1. Standard CAPM: ri ∼ αi + βi rm 2. Betting Against Beta (b): αi ∼ a + b |βi |
  • 15. Data Source ’Yahoo Finance’, interfaced through open source R: Quantmod, TTR, ggplot2 Figure: Console Output of Code
  • 16. Yearly Results Reaching for Yield? 0.05 0.00 −0.05 Beta Coefficient −0.10 −0.15 −0.20 2007 2008 2009 2010 2011 2012 Figure: Coefficient (b) for 2007 – 2012
  • 17. Sorted by Market Capitalization Reaching for Yield? 0.2 0.1 BetaSE 0.030 0.025 0.0 0.020 Beta Coefficient 0.015 0.010 −0.1 Market Cap Small Medium −0.2 Large −0.3 2007 2008 2009 2010 2011 2012 Figure: Divided by Market Capitalization
  • 18. Outline Introduction Reaching for Yield CAPM Empirical Data and Results Journal Articles Regression Data Conclusions Strategy Future Work References
  • 19. Portfolio Strategy Should try to avoid highly volatile stocks – everybody is looking for the explosive investment Mentioned in BBBY Pitch Pitch more than stocks – look for an optimal portfolio, not just a good stock Betting against beta should be persistent Institutional biases Caveat: Regression data is low R 2 , but Frazzini and Pedersen [2010] has more portfolio based evidence
  • 20. Refinements More controls Becker and Ivashina [2013] – control for Fama-French, more robust estimation Longer history of prices Can compare slopes with wider range of credit conditions Other asset classes Could have implications for the corporate debt market
  • 21. Research Areas Relationship between business cycle and ’reaching for yield’ Becker and Ivashina [2013] – when growth is high Frazzini and Pedersen [2010] – when growth (and thus interest rates) are low Monetary Policy: Potential new channel in which nominal shocks have real effects Need better tools for macroprudential regulation if we want extended periods of low interest rates – Stein [2011]
  • 22. Outline Introduction Reaching for Yield CAPM Empirical Data and Results Journal Articles Regression Data Conclusions Strategy Future Work References
  • 23. Bibliography Bo Becker and Victoria Ivashina. Reaching for yield in the bond market. Working Paper 18909, National Bureau of Economic Research, March 2013. URL http://www.nber.org/papers/w18909. Andrea Frazzini and Lasse H. Pedersen. Betting against beta. Working Paper 16601, National Bureau of Economic Research, December 2010. URL http://www.nber.org/papers/w16601. Jeremy C. Stein. Monetary policy as financial-stability regulation. Working Paper 16883, National Bureau of Economic Research, March 2011. URL http://www.nber.org/papers/w16883.