There is something deeply satisfying about a preference specification that finally lets you
ask the risk aversion question and the intertemporal substitution question separately. For
years I worked with models that forced those two things to move together, and every time I
tried to fit the equity premium I ran into the same wall. When I first worked through the
Epstein-Zin aggregator carefully — not just the statement of it, but the derivation — I
understood why it changed everything. The stochastic discount factor that comes out of
recursive preferences is a genuinely different object, and the asset pricing implications
follow from that difference in a way that feels inevitable once you have seen the
mathematics. — Dr. Marguerite Ellison, Founding Director
What the long-run risk model asks you to accept is not that consumption growth is volatile
in an obvious way — it clearly is not — but that there is a small, persistent component in
expected growth that an agent with recursive preferences will price very heavily precisely
because it is so hard to diversify across time. That is a subtle mechanism, and the
empirical debate around it is correspondingly subtle. The identification challenges are
real: a persistent component that explains a large risk premium also needs to be nearly
invisible in short samples of consumption data. I find it one of the most intellectually
honest tensions in modern asset pricing, and I think it deserves to be taught that way
rather than papered over. — Prof. Alistair Nguyen, Lead Theorist
The Hansen-Jagannathan bound is one of those results that looks simple on the surface — a
lower bound on discount factor volatility derived from observed Sharpe ratios — but carries
an enormous amount of information about what any asset pricing model must deliver. When I
first worked through its derivation under recursive preferences, I was struck by how much
the Epstein-Zin specification changes the volatility of the discount factor relative to the
power-utility benchmark. That change is the mechanism through which recursive preferences
resolve the equity premium puzzle, and understanding it at the level of the discount factor,
rather than as a reduced-form observation, is what makes the theory genuinely explanatory
rather than merely descriptive. — Dr. Priya Sundaram, Head of Content Development
There is something deeply satisfying about a preference specification that finally lets you
ask the risk aversion question and the intertemporal substitution question separately. For
years I worked with models that forced those two things to move together, and every time I
tried to fit the equity premium I ran into the same wall. When I first worked through the
Epstein-Zin aggregator carefully — not just the statement of it, but the derivation — I
understood why it changed everything. The stochastic discount factor that comes out of
recursive preferences is a genuinely different object, and the asset pricing implications
follow from that difference in a way that feels inevitable once you have seen the
mathematics. — Dr. Marguerite Ellison, Founding Director
What the long-run risk model asks you to accept is not that consumption growth is volatile
in an obvious way — it clearly is not — but that there is a small, persistent component in
expected growth that an agent with recursive preferences will price very heavily precisely
because it is so hard to diversify across time. That is a subtle mechanism, and the
empirical debate around it is correspondingly subtle. The identification challenges are
real: a persistent component that explains a large risk premium also needs to be nearly
invisible in short samples of consumption data. I find it one of the most intellectually
honest tensions in modern asset pricing, and I think it deserves to be taught that way
rather than papered over. — Prof. Alistair Nguyen, Lead Theorist
The Hansen-Jagannathan bound is one of those results that looks simple on the surface — a
lower bound on discount factor volatility derived from observed Sharpe ratios — but carries
an enormous amount of information about what any asset pricing model must deliver. When I
first worked through its derivation under recursive preferences, I was struck by how much
the Epstein-Zin specification changes the volatility of the discount factor relative to the
power-utility benchmark. That change is the mechanism through which recursive preferences
resolve the equity premium puzzle, and understanding it at the level of the discount factor,
rather than as a reduced-form observation, is what makes the theory genuinely explanatory
rather than merely descriptive. — Dr. Priya Sundaram, Head of Content Development
There is something deeply satisfying about a preference specification that finally lets you
ask the risk aversion question and the intertemporal substitution question separately. For
years I worked with models that forced those two things to move together, and every time I
tried to fit the equity premium I ran into the same wall. When I first worked through the
Epstein-Zin aggregator carefully — not just the statement of it, but the derivation — I
understood why it changed everything. The stochastic discount factor that comes out of
recursive preferences is a genuinely different object, and the asset pricing implications
follow from that difference in a way that feels inevitable once you have seen the
mathematics. — Dr. Marguerite Ellison, Founding Director
What the long-run risk model asks you to accept is not that consumption growth is volatile
in an obvious way — it clearly is not — but that there is a small, persistent component in
expected growth that an agent with recursive preferences will price very heavily precisely
because it is so hard to diversify across time. That is a subtle mechanism, and the
empirical debate around it is correspondingly subtle. The identification challenges are
real: a persistent component that explains a large risk premium also needs to be nearly
invisible in short samples of consumption data. I find it one of the most intellectually
honest tensions in modern asset pricing, and I think it deserves to be taught that way
rather than papered over. — Prof. Alistair Nguyen, Lead Theorist
The Hansen-Jagannathan bound is one of those results that looks simple on the surface — a
lower bound on discount factor volatility derived from observed Sharpe ratios — but carries
an enormous amount of information about what any asset pricing model must deliver. When I
first worked through its derivation under recursive preferences, I was struck by how much
the Epstein-Zin specification changes the volatility of the discount factor relative to the
power-utility benchmark. That change is the mechanism through which recursive preferences
resolve the equity premium puzzle, and understanding it at the level of the discount factor,
rather than as a reduced-form observation, is what makes the theory genuinely explanatory
rather than merely descriptive. — Dr. Priya Sundaram, Head of Content Development
There is something deeply satisfying about a preference specification that finally lets you
ask the risk aversion question and the intertemporal substitution question separately. For
years I worked with models that forced those two things to move together, and every time I
tried to fit the equity premium I ran into the same wall. When I first worked through the
Epstein-Zin aggregator carefully — not just the statement of it, but the derivation — I
understood why it changed everything. The stochastic discount factor that comes out of
recursive preferences is a genuinely different object, and the asset pricing implications
follow from that difference in a way that feels inevitable once you have seen the
mathematics. — Dr. Marguerite Ellison, Founding Director
What the long-run risk model asks you to accept is not that consumption growth is volatile
in an obvious way — it clearly is not — but that there is a small, persistent component in
expected growth that an agent with recursive preferences will price very heavily precisely
because it is so hard to diversify across time. That is a subtle mechanism, and the
empirical debate around it is correspondingly subtle. The identification challenges are
real: a persistent component that explains a large risk premium also needs to be nearly
invisible in short samples of consumption data. I find it one of the most intellectually
honest tensions in modern asset pricing, and I think it deserves to be taught that way
rather than papered over. — Prof. Alistair Nguyen, Lead Theorist
The Hansen-Jagannathan bound is one of those results that looks simple on the surface — a
lower bound on discount factor volatility derived from observed Sharpe ratios — but carries
an enormous amount of information about what any asset pricing model must deliver. When I
first worked through its derivation under recursive preferences, I was struck by how much
the Epstein-Zin specification changes the volatility of the discount factor relative to the
power-utility benchmark. That change is the mechanism through which recursive preferences
resolve the equity premium puzzle, and understanding it at the level of the discount factor,
rather than as a reduced-form observation, is what makes the theory genuinely explanatory
rather than merely descriptive. — Dr. Priya Sundaram, Head of Content Development
Dr. Marguerite Ellison, Founding Director / Recursive utility theory and equilibrium asset
pricing, Cuenyzuaslaim research team / There is something deeply satisfying about a preference
specification that finally lets you ask the risk aversion question and the intertemporal
substitution question separately. For years I worked with models that forced those two
things to move together, and every time I tried to fit the equity premium I ran into the
same wall. When I first worked through the Epstein-Zin aggregator carefully — not just the
statement of it, but the derivation — I understood why it changed everything. The stochastic
discount factor that comes out of recursive preferences is a genuinely different object, and
the asset pricing implications follow from that difference in a way that feels inevitable
once you have seen the mathematics.
Prof. Alistair Nguyen, Lead Theorist / Intertemporal choice models and stochastic discount
factors, Cuenyzuaslaim research team / What the long-run risk model asks you to accept is not that
consumption growth is volatile in an obvious way — it clearly is not — but that there is a
small, persistent component in expected growth that an agent with recursive preferences will
price very heavily precisely because it is so hard to diversify across time. That is a
subtle mechanism, and the empirical debate around it is correspondingly subtle. The
identification challenges are real: a persistent component that explains a large risk
premium also needs to be nearly invisible in short samples of consumption data. I find it
one of the most intellectually honest tensions in modern asset pricing, and I think it
deserves to be taught that way rather than papered over.
Dr. Priya Sundaram, Head of Content Development / Translating advanced theory into
structured explanations, Cuenyzuaslaim research team / The Hansen-Jagannathan bound is one of those
results that looks simple on the surface — a lower bound on discount factor volatility
derived from observed Sharpe ratios — but carries an enormous amount of information about
what any asset pricing model must deliver. When I first worked through its derivation under
recursive preferences, I was struck by how much the Epstein-Zin specification changes the
volatility of the discount factor relative to the power-utility benchmark. That change is
the mechanism through which recursive preferences resolve the equity premium puzzle, and
understanding it at the level of the discount factor, rather than as a reduced-form
observation, is what makes the theory genuinely explanatory rather than merely descriptive.
Dr. Marguerite Ellison, Founding Director / Recursive utility theory and equilibrium asset
pricing, Cuenyzuaslaim research team / There is something deeply satisfying about a preference
specification that finally lets you ask the risk aversion question and the intertemporal
substitution question separately. For years I worked with models that forced those two
things to move together, and every time I tried to fit the equity premium I ran into the
same wall. When I first worked through the Epstein-Zin aggregator carefully — not just the
statement of it, but the derivation — I understood why it changed everything. The stochastic
discount factor that comes out of recursive preferences is a genuinely different object, and
the asset pricing implications follow from that difference in a way that feels inevitable
once you have seen the mathematics.
Prof. Alistair Nguyen, Lead Theorist / Intertemporal choice models and stochastic discount
factors, Cuenyzuaslaim research team / What the long-run risk model asks you to accept is not that
consumption growth is volatile in an obvious way — it clearly is not — but that there is a
small, persistent component in expected growth that an agent with recursive preferences will
price very heavily precisely because it is so hard to diversify across time. That is a
subtle mechanism, and the empirical debate around it is correspondingly subtle. The
identification challenges are real: a persistent component that explains a large risk
premium also needs to be nearly invisible in short samples of consumption data. I find it
one of the most intellectually honest tensions in modern asset pricing, and I think it
deserves to be taught that way rather than papered over.
Dr. Priya Sundaram, Head of Content Development / Translating advanced theory into
structured explanations, Cuenyzuaslaim research team / The Hansen-Jagannathan bound is one of those
results that looks simple on the surface — a lower bound on discount factor volatility
derived from observed Sharpe ratios — but carries an enormous amount of information about
what any asset pricing model must deliver. When I first worked through its derivation under
recursive preferences, I was struck by how much the Epstein-Zin specification changes the
volatility of the discount factor relative to the power-utility benchmark. That change is
the mechanism through which recursive preferences resolve the equity premium puzzle, and
understanding it at the level of the discount factor, rather than as a reduced-form
observation, is what makes the theory genuinely explanatory rather than merely descriptive.
Dr. Marguerite Ellison, Founding Director / Recursive utility theory and equilibrium asset
pricing, Cuenyzuaslaim research team / There is something deeply satisfying about a preference
specification that finally lets you ask the risk aversion question and the intertemporal
substitution question separately. For years I worked with models that forced those two
things to move together, and every time I tried to fit the equity premium I ran into the
same wall. When I first worked through the Epstein-Zin aggregator carefully — not just the
statement of it, but the derivation — I understood why it changed everything. The stochastic
discount factor that comes out of recursive preferences is a genuinely different object, and
the asset pricing implications follow from that difference in a way that feels inevitable
once you have seen the mathematics.
Prof. Alistair Nguyen, Lead Theorist / Intertemporal choice models and stochastic discount
factors, Cuenyzuaslaim research team / What the long-run risk model asks you to accept is not that
consumption growth is volatile in an obvious way — it clearly is not — but that there is a
small, persistent component in expected growth that an agent with recursive preferences will
price very heavily precisely because it is so hard to diversify across time. That is a
subtle mechanism, and the empirical debate around it is correspondingly subtle. The
identification challenges are real: a persistent component that explains a large risk
premium also needs to be nearly invisible in short samples of consumption data. I find it
one of the most intellectually honest tensions in modern asset pricing, and I think it
deserves to be taught that way rather than papered over.
Dr. Priya Sundaram, Head of Content Development / Translating advanced theory into
structured explanations, Cuenyzuaslaim research team / The Hansen-Jagannathan bound is one of those
results that looks simple on the surface — a lower bound on discount factor volatility
derived from observed Sharpe ratios — but carries an enormous amount of information about
what any asset pricing model must deliver. When I first worked through its derivation under
recursive preferences, I was struck by how much the Epstein-Zin specification changes the
volatility of the discount factor relative to the power-utility benchmark. That change is
the mechanism through which recursive preferences resolve the equity premium puzzle, and
understanding it at the level of the discount factor, rather than as a reduced-form
observation, is what makes the theory genuinely explanatory rather than merely descriptive.
Dr. Marguerite Ellison, Founding Director / Recursive utility theory and equilibrium asset
pricing, Cuenyzuaslaim research team / There is something deeply satisfying about a preference
specification that finally lets you ask the risk aversion question and the intertemporal
substitution question separately. For years I worked with models that forced those two
things to move together, and every time I tried to fit the equity premium I ran into the
same wall. When I first worked through the Epstein-Zin aggregator carefully — not just the
statement of it, but the derivation — I understood why it changed everything. The stochastic
discount factor that comes out of recursive preferences is a genuinely different object, and
the asset pricing implications follow from that difference in a way that feels inevitable
once you have seen the mathematics.
Prof. Alistair Nguyen, Lead Theorist / Intertemporal choice models and stochastic discount
factors, Cuenyzuaslaim research team / What the long-run risk model asks you to accept is not that
consumption growth is volatile in an obvious way — it clearly is not — but that there is a
small, persistent component in expected growth that an agent with recursive preferences will
price very heavily precisely because it is so hard to diversify across time. That is a
subtle mechanism, and the empirical debate around it is correspondingly subtle. The
identification challenges are real: a persistent component that explains a large risk
premium also needs to be nearly invisible in short samples of consumption data. I find it
one of the most intellectually honest tensions in modern asset pricing, and I think it
deserves to be taught that way rather than papered over.
Dr. Priya Sundaram, Head of Content Development / Translating advanced theory into
structured explanations, Cuenyzuaslaim research team / The Hansen-Jagannathan bound is one of those
results that looks simple on the surface — a lower bound on discount factor volatility
derived from observed Sharpe ratios — but carries an enormous amount of information about
what any asset pricing model must deliver. When I first worked through its derivation under
recursive preferences, I was struck by how much the Epstein-Zin specification changes the
volatility of the discount factor relative to the power-utility benchmark. That change is
the mechanism through which recursive preferences resolve the equity premium puzzle, and
understanding it at the level of the discount factor, rather than as a reduced-form
observation, is what makes the theory genuinely explanatory rather than merely descriptive.
There is something deeply satisfying about a preference specification that finally lets you
ask the risk aversion question and the intertemporal substitution question separately. For
years I worked with models that forced those two things to move together, and every time I
tried to fit the equity premium I ran into the same wall. When I first worked through the
Epstein-Zin aggregator carefully — not just the statement of it, but the derivation — I
understood why it changed everything. The stochastic discount factor that comes out of
recursive preferences is a genuinely different object, and the asset pricing implications
follow from that difference in a way that feels inevitable once you have seen the
mathematics.
What the long-run risk model asks you to accept is not that consumption growth is volatile
in an obvious way — it clearly is not — but that there is a small, persistent component in
expected growth that an agent with recursive preferences will price very heavily precisely
because it is so hard to diversify across time. That is a subtle mechanism, and the
empirical debate around it is correspondingly subtle. The identification challenges are
real: a persistent component that explains a large risk premium also needs to be nearly
invisible in short samples of consumption data. I find it one of the most intellectually
honest tensions in modern asset pricing, and I think it deserves to be taught that way
rather than papered over.
The Hansen-Jagannathan bound is one of those results that looks simple on the surface — a
lower bound on discount factor volatility derived from observed Sharpe ratios — but carries
an enormous amount of information about what any asset pricing model must deliver. When I
first worked through its derivation under recursive preferences, I was struck by how much
the Epstein-Zin specification changes the volatility of the discount factor relative to the
power-utility benchmark. That change is the mechanism through which recursive preferences
resolve the equity premium puzzle, and understanding it at the level of the discount factor,
rather than as a reduced-form observation, is what makes the theory genuinely explanatory
rather than merely descriptive.
There is something deeply satisfying about a preference specification that finally lets you
ask the risk aversion question and the intertemporal substitution question separately. For
years I worked with models that forced those two things to move together, and every time I
tried to fit the equity premium I ran into the same wall. When I first worked through the
Epstein-Zin aggregator carefully — not just the statement of it, but the derivation — I
understood why it changed everything. The stochastic discount factor that comes out of
recursive preferences is a genuinely different object, and the asset pricing implications
follow from that difference in a way that feels inevitable once you have seen the
mathematics.
What the long-run risk model asks you to accept is not that consumption growth is volatile
in an obvious way — it clearly is not — but that there is a small, persistent component in
expected growth that an agent with recursive preferences will price very heavily precisely
because it is so hard to diversify across time. That is a subtle mechanism, and the
empirical debate around it is correspondingly subtle. The identification challenges are
real: a persistent component that explains a large risk premium also needs to be nearly
invisible in short samples of consumption data. I find it one of the most intellectually
honest tensions in modern asset pricing, and I think it deserves to be taught that way
rather than papered over.
The Hansen-Jagannathan bound is one of those results that looks simple on the surface — a
lower bound on discount factor volatility derived from observed Sharpe ratios — but carries
an enormous amount of information about what any asset pricing model must deliver. When I
first worked through its derivation under recursive preferences, I was struck by how much
the Epstein-Zin specification changes the volatility of the discount factor relative to the
power-utility benchmark. That change is the mechanism through which recursive preferences
resolve the equity premium puzzle, and understanding it at the level of the discount factor,
rather than as a reduced-form observation, is what makes the theory genuinely explanatory
rather than merely descriptive.
There is something deeply satisfying about a preference specification that finally lets you
ask the risk aversion question and the intertemporal substitution question separately. For
years I worked with models that forced those two things to move together, and every time I
tried to fit the equity premium I ran into the same wall. When I first worked through the
Epstein-Zin aggregator carefully — not just the statement of it, but the derivation — I
understood why it changed everything. The stochastic discount factor that comes out of
recursive preferences is a genuinely different object, and the asset pricing implications
follow from that difference in a way that feels inevitable once you have seen the
mathematics.
What the long-run risk model asks you to accept is not that consumption growth is volatile
in an obvious way — it clearly is not — but that there is a small, persistent component in
expected growth that an agent with recursive preferences will price very heavily precisely
because it is so hard to diversify across time. That is a subtle mechanism, and the
empirical debate around it is correspondingly subtle. The identification challenges are
real: a persistent component that explains a large risk premium also needs to be nearly
invisible in short samples of consumption data. I find it one of the most intellectually
honest tensions in modern asset pricing, and I think it deserves to be taught that way
rather than papered over.
The Hansen-Jagannathan bound is one of those results that looks simple on the surface — a
lower bound on discount factor volatility derived from observed Sharpe ratios — but carries
an enormous amount of information about what any asset pricing model must deliver. When I
first worked through its derivation under recursive preferences, I was struck by how much
the Epstein-Zin specification changes the volatility of the discount factor relative to the
power-utility benchmark. That change is the mechanism through which recursive preferences
resolve the equity premium puzzle, and understanding it at the level of the discount factor,
rather than as a reduced-form observation, is what makes the theory genuinely explanatory
rather than merely descriptive.
There is something deeply satisfying about a preference specification that finally lets you
ask the risk aversion question and the intertemporal substitution question separately. For
years I worked with models that forced those two things to move together, and every time I
tried to fit the equity premium I ran into the same wall. When I first worked through the
Epstein-Zin aggregator carefully — not just the statement of it, but the derivation — I
understood why it changed everything. The stochastic discount factor that comes out of
recursive preferences is a genuinely different object, and the asset pricing implications
follow from that difference in a way that feels inevitable once you have seen the
mathematics.
What the long-run risk model asks you to accept is not that consumption growth is volatile
in an obvious way — it clearly is not — but that there is a small, persistent component in
expected growth that an agent with recursive preferences will price very heavily precisely
because it is so hard to diversify across time. That is a subtle mechanism, and the
empirical debate around it is correspondingly subtle. The identification challenges are
real: a persistent component that explains a large risk premium also needs to be nearly
invisible in short samples of consumption data. I find it one of the most intellectually
honest tensions in modern asset pricing, and I think it deserves to be taught that way
rather than papered over.
The Hansen-Jagannathan bound is one of those results that looks simple on the surface — a
lower bound on discount factor volatility derived from observed Sharpe ratios — but carries
an enormous amount of information about what any asset pricing model must deliver. When I
first worked through its derivation under recursive preferences, I was struck by how much
the Epstein-Zin specification changes the volatility of the discount factor relative to the
power-utility benchmark. That change is the mechanism through which recursive preferences
resolve the equity premium puzzle, and understanding it at the level of the discount factor,
rather than as a reduced-form observation, is what makes the theory genuinely explanatory
rather than merely descriptive.
