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Sovereign CDS quanto spreads--the difference between CDS premiums denominated in U.S. dollars and a foreign currency--tell us how financial markets view the interaction between a country's likelihood of default and associated currency devaluations (the Twin Ds). A noarbitrage model applied to the term structure of quanto spreads can isolate the interaction between the Twin Ds and gauge the associated risk premiums. We study countries in the Eurozone because their quanto spreads pertain to the same exchange rate and monetary policy, allowing us to link cross-sectional variation in their term structures to cross-country differences in fiscal policies. The ratio of the risk-adjusted to the true default intensities is 2, on average. Conditional on the occurrence of default, the true and risk-adjusted 1-week probabilities of devaluation are 5% and 77%, respectively. The risk premium for the euro devaluation in case of default exceeds the regular currency premium by up to 0.3% per week.
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We show theoretically that persistent deviations from covered interest parity (CIP) across multiple horizons imply simultaneous arbitrage opportunities only if uncollateralized interbank lending rates are riskless. In the absence of observable riskless discount rates, we extract them empirically from interest rate swaps using a simple no-arbitrage framework. They deliver novel quantitative benchmarks that reconcile a zero cross-currency basis with non-zero cross-currency basis swap rates. We quantify that the no-arbitrage benchmark, which is consistent with intermediary-based asset pricing paradigms, accounts for about two thirds of the alleged CIP deviations. The residual pricing errors are associated with the limits-to-arbitrage framework.
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Since the Global Financial Crisis, rates on interest rate swaps have fallen below maturity matched U.S. Treasury rates across different maturities. Swap rates represent future uncollateralized borrowing between banks. Treasuries should be expensive and produce yields that are lower than those of maturity matched swap rates, as they are deemed to have superior liquidity and to be safe, so this is a surprising development. We show, by no-arbitrage, that the U.S. sovereign default risk explains the negative swap spreads over Treasuries. This view is supported by a quantitative equilibrium model that jointly accounts for macroeconomic fundamentals and the term structures of interest and U.S. credit default swap rates. We account for interbank credit risk, liquidity effects, and cost of collateralization in the model. Thus, the sovereign risk explanation complements others based on frictions such as balance sheet constraints, convenience yield, and hedging demand.
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Sovereign CDS quanto spreads--the difference between CDS premiums denominated in U.S. dollars and a foreign currency--tell us how financial markets view the interaction between a country's likelihood of default and associated currency devaluations (the Twin Ds). A noarbitrage model applied to the term structure of quanto spreads can isolate the interaction between the Twin Ds and gauge the associated risk premiums. We study countries in the Eurozone because their quanto spreads pertain to the same exchange rate and monetary policy, allowing us to link cross-sectional variation in their term structures to cross-country differences in fiscal policies. The ratio of the risk-adjusted to the true default intensities is 2, on average. Conditional on the occurrence of default, the true and risk-adjusted 1-week probabilities of devaluation are 5% and 77%, respectively. The risk premium for the euro devaluation in case of default exceeds the regular currency premium by up to 0.3% per week.
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