Coal
Coal +
Oil
Coal +
Oil + Gas
Proven Reserves
Stranded assets 2230
Source: Carbon Tracker Initiative
High risk aversion
Low risk aversion
Zero
The price of climate risk today
Non-diversifiable
Risk
Diversifiable risk
Expected damage
risk
premium
Stock real return = 6.4%
Bond real return = 1.6%
A consistent 475 basis points per year for the last 140 years
Data are from http://www.econ.yale.edu/~shiller/data.htm
An equally risky portfolio
long bonds and short equities earns
-310 basis points
Pricing carbon emissions is a risk management problem involving trade-offs between consumption today and potential bad outcomes in the distant future
This trade-off depends crucially on the degree of societal risk aversion
Societal risk aversion can be calibrated to the equity risk premium
Counter to intuition, in the standard utility function increasing the risk aversion makes curbing emissions less urgent
Higher curvature has two impacts:
1) it increases the risk premium, but
2) it also increases the risk free discount rate
The second impact dominates and causes the price to decrease
Lord Nicholas Stern, for example, set a degree of curvature that implies an equity risk premium of around 12 basis points,
more than 30 times too low relative to observed risk premia
Estimates of the social cost of carbon
from Anthoff, Tol, and Yohe (2009)
emissions
prices
Increasing risk aversion
Why???
While lower intertemporal curvature
is required to fit the relatively
low risk free rates
that we observe in the market
Risk aversion
Intertemporal substitution
Epstein-Zin utility can be calibrated to both
high risk premia and low interest rates
consumption ( time, states of nature )
consumption ( time, states of nature )
utility
utility
The Appropriate Price
Trades off current consumption against future damages
Recognizes unknown impacts, and the potential for time compression and catastrophic outcomes
Builds in a margin of safety
Anticipates risk reduction over time
Higher Risk Aversion
Increases the risk premium
Lowers the discount rate for future damages
Raises the price today and potentially lowers the expected future price
forward prices will
be driven by the rate
of technological change
in emissions mitigation
This recognition has implications for:
Stranded assets will re-price to reflect changing expectations of forward prices, rather than changes in actual emissions prices.
corporate
forward expectations
from CDP survey
current forward curve?
S&P 500 index return
1/3/2011 through 1/17/2014
Swap 21.7%
S&P 500 15.9%
Tar sands 2.0%
Coal -10.1%
A hedge which reduces portfolio risk
And adds a potential source of return
Better aligns investments with mission
Doesn’t impact underlying assets
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