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rare_disasters_and_exchange_rates_june_2015

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015e rates, based on the hypothesis that the possibility of rare but extreme disasters is an important determinant of risk premia in asset markets. The p

robability of world disasters as well as each country's exposure to these events is time-varying. This creates joint fluctuations in exchange rates, i rare_disasters_and_exchange_rates_june_2015

nterest rates, options, and stock markets. The model accounts for a series of major puzzles in exchange rates: excess volatility and exchange rate dis

rare_disasters_and_exchange_rates_june_2015

connect, forward premium puzzle and large excess returns of the carry trade, and comovements between stocks and exchange rates. It also makes empirica

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_201512. G15.’efarhi0fas.harvard.edu. xgabaLxSstern.nyu.edu. We are indebted to the editor and two referees for detailed and helpful suggestions. Mohsan Bi

lal. Igor Cesarec. Alex Chinco. Sam Fraiberger. Aaditya Iyer and Cheng Luo provided excellent research assistance. For helpful comments, we thank part rare_disasters_and_exchange_rates_june_2015

icipants at various seminars and conferences, and Fernando Alvarez. Robert Barro. Nicolas Coeurdacier, Daniel Cohen. Mariano Croce. Alex Edmans. Franc

rare_disasters_and_exchange_rates_june_2015

ois Gourio. Stéphane Guibaud. Hanno Lustig. Matteo Maggiori. Anna Pavlova. Ken Rogoff. José Scheinkman. John Shea. Hyun Shin. Andreas Stathopoulos. Ad

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015 rates, based on the hypothesis of Rietz (1988) and Barro (2006) that the possibility of rare but extreme disasters is an important determinant of ris

k premia in asset markets. The model accounts for a series of major puzzles in exchange rates. It also makes signature predictions about the link betw rare_disasters_and_exchange_rates_june_2015

een exchange rates and currency options, which are broadly supported empirically. Overall, the model explains classic exchange rate puzzles and more n

rare_disasters_and_exchange_rates_june_2015

ovel links between options, exchange rates and stock market movements.In the model, at any point in time, a world disaster might occur. Disasters corr

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015fer by their riskiness, that is by how much their exchange rate would depreciate if a world disaster were to occur (something that we endogenize in th

e paper, relating it to the productivity of the export sector). Because the exchange rate is an asset price whose future risk affects its current valu rare_disasters_and_exchange_rates_june_2015

e, relatively riskier countries have more depreciated exchange rates.The probability of a world disaster as well as each country’s exposure to these e

rare_disasters_and_exchange_rates_june_2015

vents is time-varying. This creates large fluctuations in exchange rates, which rationalize their apparent "excess volatility". To the extent that per

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015isconnect" (Meese and Rogoff 1983).Relatively risky countries also feature high interest rates, because investors need to be compensated for the risk

of an exchange rate depreciation in a potential world disaster. This allows the model to account for the forward premium puzzle. This is true both in rare_disasters_and_exchange_rates_june_2015

samples with no disasters and in full samples with a representative number of disasters, but the intuition is easier to grasp in the case of samples w

rare_disasters_and_exchange_rates_june_2015

ith no disasters.1 Indeed, suppose that a country is temporarily risky: it has high interest rates, and its exchange rate is depreciated. As its riski

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015tion, the expected depreciation of a currency should be equal to the interest rate differential between that country and the reference region. A regre

ssion of exchange rate changes on interest rate differentials should yield a coefficient of 1. However, empirical studies starting with Tryon (1979). rare_disasters_and_exchange_rates_june_2015

Hansen and Hodrick (1980). Fama (198-4). and those surveyed by Lewis (2011) consistently produce a regression coefficient that is less than 1. and oft

rare_disasters_and_exchange_rates_june_2015

en negative. This invalidation of VIP has been termed the forward premium puzzle: currencies with high interest rates tend to appreciate. In other wor

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015disaster occurring. In the paper, w also offer a detailed intuition in terms of time varying disaster risk premia for the case of full samples with a

representative number of disasters.The disaster hypothesis also makes specific predictions about option prices. This paper works them out. and finds t rare_disasters_and_exchange_rates_june_2015

hat those signature predictions are reasonably well borne out in the data. We view this as encouraging support for the disaster hypothesis.The startin

rare_disasters_and_exchange_rates_june_2015

g point is that, in our theory, the exchange rate of a risk}' country commands high put premia in option markets as measured by high "risk reversals”

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015 willing to pay a high premium to insure themselves against the risk that the exchange rate depreciates in the event of a world disaster. A country's

risk reversal is therefore a reflection of its riskiness.Accordingly, the model makes four signature predictions regarding these put premia ("risk rev rare_disasters_and_exchange_rates_june_2015

ersals"). First, investing in countries with high risk reversals should have high returns on average. Second, countries with high risk reversals shoul

rare_disasters_and_exchange_rates_june_2015

d have high interest rates. Third, when the risk reversal of a country goes up. its currency contemporaneously depreciates. These predictions, and a f

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015 expressions for the major objects of interest, such as exchange rates, interest rates, carry trade returns, yield curves, forward premium puzzle coef

ficients, option prices, and stocks. To achieve this, we build on the closed economy model with a stochastic intensity of disasters proposed in Gabaix rare_disasters_and_exchange_rates_june_2015

(2012) (Rietz 1988 and Barro 2006 assume a constant intensity of disasters), and use the “linearity generating" processes developed in Gabaix (2009).

rare_disasters_and_exchange_rates_june_2015

Our framework is also very flexible. We show that it is easy to extend the basic model to incorporate several factors and inflation.We calibrate a ve

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015st rate, the forward premium, the return of the carry trade, as well as the size and volatility of risk reversals and their link with exchange rate mo

vements and interest rates. The underlying disaster numbers largely rely on Barro and Ursua (2008)s empirical numbers which imply that rare disasters rare_disasters_and_exchange_rates_june_2015

matter five times as much as they would if agents were risk neutral. As a result, changes in beliefs about disasters translate into meaningful volatil

rare_disasters_and_exchange_rates_june_2015

ity. This is why the model yields sub3stantial volatility which is difficult to obtain with more traditional models (e.g. Obstfeld and Rogoff 1995).In

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015ween movements in the stock market and the currency of a country. However, the most risky currencies have a positive correlation with world stock mark

et returns, while the least risky currencies have a negative correlation. Our calibration replicates these facts.Finally, recent research (Lustig. Rou rare_disasters_and_exchange_rates_june_2015

ssanov and Verdelhan (2011)) has documented a one-factor structure of currency returns (they call this new factor HMLpx)- Our proposed calibration mat

rare_disasters_and_exchange_rates_june_2015

ches this pattern. In addition, our model delivers the new prediction that risk reversals of the most risky countries (respectively least risky) shoul

RARE DISASTERS AND EXCHANGE RATES’*Emmanuel FarhiXavier GabaixHarvard. CEPR and XBER NYU, CEPR and NBER42242AbstractWe propose a new model of exchange

rare_disasters_and_exchange_rates_june_2015atterns.Classic puzzles1.Excess volatility of exchange rates.2.Failure of uncovered interest rate parity. The coefficient in the Fama regression is le

ss than 1. and sometimes negative.Link between options and exchange rates3.High interest rate countries have high put premia (as measured by “risk rev rare_disasters_and_exchange_rates_june_2015

ersals”).4.Investing in countries with high (respectively low) risk reversals delivers high (respectively low) returns.5.When the risk reversal of a c

rare_disasters_and_exchange_rates_june_2015

ountry’s exchange rate increases (which indicates that the currency becomes riskier), the exchange rate contemporaneously depreciates.Link between sto

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