The Role of Redenomination Risk in the Price Evolution of Italian Banks’ CDS Spreads
Abstract
:1. Introduction
2. Literature Review
3. Model and Data Description
- t = 1, 2, …, T is the time horizon;
- is the Italian banks’ 5y CDS spread proxy at time t;
- is the risk-free rate at time t;
- is the volatility of the assets at time t;
- is the leverage ratio at time t.
- is the sovereign Italian 5y CDS spread in US dollars;
- is the sovereign Italian 5y CDS spread in euros;
- is the sovereign German 5y CDS spread in US dollars;
- is the sovereign German 5y CDS spread in euros.
4. Results
4.1. Financial Crisis
4.2. Sovereign Debt Crisis
4.3. Pro Deficit Government
4.4. Granger-Causality Tests
5. Economic Discussion and Conclusions
Author Contributions
Funding
Conflicts of Interest
Appendix A
Appendix A.1. Unit Root Tests14
Appendix A.2. Basic Model (Inspired by the Classic Merton (1974) Model)
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
---|---|---|---|---|
β0 | 6.44 × 10−6 | 0.003116 | 0.002066 | 0.9984 |
Δ(Risk-free Rate) | −0.861810 *** | 0.267762 | −3.218569 | 0.0014 |
Δ(Volatility) | 0.407496 | 0.960730 | 0.424152 | 0.6716 |
Δ(Leverage) | 0.043429 | 0.068708 | 0.632086 | 0.5276 |
R2 | 0.05 | |||
Adj. R2 | 0.04 | |||
Prob(F-statistic) | 0.00 |
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
---|---|---|---|---|
β0 | 0.002165 | 0.001519 | 1.425300 | 0.1545 |
Δ(Risk-free Rate) | −0.552276 *** | 0.085677 | −6.446025 | 0.0000 |
Δ(Volatility) | 0.109614 | 0.733384 | 0.149464 | 0.8812 |
Δ(Leverage) | −0.006041 | 0.013461 | −0.448774 | 0.6537 |
R2 | 0.08 | |||
Adj. R2 | 0.08 | |||
Prob(F-statistic) | 0.00 |
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
---|---|---|---|---|
β0 | 0.007310 | 0.006905 | 1.058616 | 0.2925 |
Δ(Risk-free Rate) | −0.465662 ** | 0.235470 | −1.977590 | 0.0510 |
Δ(Volatility) | 0.480214 | 0.818202 | 0.586914 | 0.5587 |
Δ(Leverage) | −0.375821 | 0.648974 | −0.579100 | 0.5639 |
R2 | 0.29 | |||
Adj. R2 | 0.27 | |||
Prob(F-statistic) | 0.00 |
Appendix A.3. Correlation Matrix
Variable | Δ(Risk-Free Rate) | Δ(Volatility) | Δ(Leverage) | Δ(Reden. Risk) |
---|---|---|---|---|
Δ(Risk-free Rate) | 1 | 0.16308 | 0.14920 | −0.00185 |
Δ(Volatility) | 0.16308 | 1 | 0.18848 | 0.14343 |
Δ(Leverage) | 0.14920 | 0.18848 | 1 | 0.12399 |
Δ(Reden. Risk) | −0.00185 | 0.14343 | 0.12399 | 1 |
Variable | Δ(Risk-Free Rate) | Δ(Volatility) | Δ(Leverage) | Δ(Reden. Risk) |
---|---|---|---|---|
Δ(Risk-free Rate) | 1 | 0.03003 | 0.01426 | −0.18996 |
Δ(Volatility) | 0.03003 | 1 | 0.11177 | −0.06803 |
Δ(Leverage) | 0.01426 | 0.11177 | 1 | −0.03480 |
Δ(Reden. Risk) | −0.18996 | −0.06803 | −0.03480 | 1 |
Variable | Δ(Risk-Free Rate) | Δ(Volatility) | Δ(Leverage) | Δ(Reden. Risk) |
---|---|---|---|---|
Δ(Risk-free Rate) | 1 | −0.09275 | −0.00188 | −0.32308 |
Δ(Volatility) | −0.09275 | 1 | −0.01285 | 0.11611 |
Δ(Leverage) | −0.00188 | −0.01285 | 1 | −0.01423 |
Δ(Reden. Risk) | −0.32308 | 0.11611 | −0.01423 | 1 |
Appendix A.4. Basic and Extended Model for the Whole Period (August 2007–September 2018)
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
---|---|---|---|---|
Β0 | 0.000577 | 0.000875 | 0.659485 | 0.5096 |
Δ(Risk-free Rate) | −0.007744 | 0.006293 | 1.230467 | 0.2186 |
Δ(Volatility) | 0.415109 | 0.323954 | 1.281382 | 0.2002 |
Δ(Leverage) | 0.004257 | 0.019649 | 0.216628 | 0.8285 |
R2 | 0.004 | |||
Adj. R2 | 0.003 | |||
Prob(F-statistic) | 3.87 |
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
---|---|---|---|---|
β0 | 0.000304 | 0.000828 | 0.367692 | 0.7131 |
Δ(Risk-free Rate) | −0.007493 | 0.006182 | −1.212124 | 0.2256 |
Δ(Volatility) | 0.266848 | 0.288883 | 0.923725 | 0.3557 |
Δ(Leverage) | −0.011348 | 0.013020 | −0.871559 | 0.3835 |
Δ(Reden. Risk) | 0.150402 *** | 0.035404 | 4.248143 | 0.0000 |
R2 | 0.11 | |||
Adj. R2 | 0.11 | |||
Prob(F-statistic) | 84.47 |
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1 | On 9 August 2007, BNP Paribas announced that it was ceasing activity in three hedge funds specialized in US mortgage debt. On 15 September 2008, Lehman Brothers declared bankruptcy (Kingsley 2012). |
2 | On 18 October 2009, the Greek prime minister, George Papandreou admitted that the budget deficit would have been doubled with respect to the previous Government’s estimate and would have hit 12% of the GDP. On 26 July 2012, the ECB president Mario Draghi tried to convince international investors that the eurozone’s economy was not as bad as it seemed, and he announced a program to buy the bonds of its distressed countries, known as Outright Monetary Transactions (Cesaratto 2016). |
3 | On 4 March 2018, the so-called populist parties were elected (Matteucci 2018). Before 27 September 2018, the Italian Government presented the NaDef (Ministero dell’Economia e delle Finanze 2018). |
4 | The Italian banking system includes more than 700 banks. Intesa San Paolo and Unicredit are the largest Italian banks in terms of market capitalization and total assets (Sirletti and Salzano 2018). |
5 | In Bloomberg, the CDS spreads series are available only for three Italian banking groups, namely Unicredit, Intesa San Paolo and Monte dei Paschi di Siena. In our view, Monte dei Paschi di Siena should not be included due to specific idiosyncratic issues that have also caused the acquisition of a stake close to 70% by the Italian State, approved by the EU Antitrust Commission in 2017 (Romano 2017). Unicredit and Intesa San Paolo represented in 2018 around 45% of the Italian banking system in terms of total assets (own calculation based on data provided by Banca d’Italia (2018a). |
6 | The Merton model sets the firm’s default probability as determined by the firm’s leverage, equity volatility and risk-free interest rate (Merton 1974). |
7 | See e.g., Berlinger et al. (2015). |
8 | Traders approximate risk-free interest rates with Libor/Swap rates when they evaluate derivatives. Some researchers have shown that the same seems to apply to the credit market (Hull et al. 2004). |
9 | As shown by Byström (2006), equity and asset volatility are related by a positive linear expression. For simplicity, based on the efficient market hypothesis (EMH), we quantified the equity volatility, assuming that share prices reflect all information available in the market. As in Galil et al. (2013), we expect that higher stock volatility determines a higher probability of default and higher CDS spreads. |
10 | Daily market cap adjusted. |
11 | As crises are characterized by higher variance, when considering the whole period, we do have heteroskedasticity. This is another reason why we just considered crises times and estimated it separately, as in this latter case, the estimations do not suffer from heteroskedasticity. |
12 | The E/D ratio is the inverse of the classical leverage ratio (Debt/Equity). This measure gives us a better idea of the evolution of the equity portion on total debts during the whole decade under investigation. The variation in the leverage ratio elasticities, indeed, is relatively small and could be confusing for the reader’s sensitivity. |
13 | According to Banca d’Italia, Italian banks held in their portfolios around EUR 380 billion of sovereign Italian bonds in October 2018. See Banca d’Italia (2018b). |
14 |
Variable (Basis Points—0.01%) | Mean | SD | Min | Max | Median |
---|---|---|---|---|---|
Sovereign Italian 5y CDS | 134.58 | 91.48 | 4.04 | 472.86 | 114.90 |
Italian banks proxy 5y CDS | 163.86 | 120.26 | 6.70 | 653.68 | 128.27 |
Variable | Mean | SD | Min | Max | Median |
---|---|---|---|---|---|
Financial crisis (Aug 2007–Oct 2009)—492 Obs. | |||||
Δ5y Euro Swap Rate (%) | 3.68 | 0.79 | 2.63 | 5.19 | 3.92 |
ΔDaily Volatility Stock (%) | 2.82 | 1.26 | 1.30 | 4.40 | 3.05 |
E/D (%)12 | 36.50 | 7.53 | 18.14 | 45.03 | 39.41 |
ΔQuanto CDS Spread (0.01%) | 13.64 | 8.50 | −0.22 | 38.05 | 13.47 |
Sovereign debt crisis (Oct 2009–Jul 2012)—723 Obs. | |||||
Δ5y Euro Swap Rate (%) | 2.20 | 0.52 | 1.01 | 3.23 | 2.15 |
ΔDaily Volatility Stock (%) | 3.42 | 0.66 | 2.54 | 4.40 | 3.49 |
E/D (%) | 31.98 | 9.21 | 17.47 | 42.55 | 38.63 |
ΔQuanto CDS Spread (0.01%) | 52.41 | 29.70 | 16.15 | 129.25 | 38.80 |
Anti-establishment Government (Mar 2018–Sep 2018)—96 Obs. | |||||
Δ5y Euro Swap Rate (%) | 0.36 | 0.06 | 0.22 | 0.47 | 0.37 |
ΔDaily Volatility Stock (%) | 1.75 | 0.95 | 1.59 | 1.95 | 1.69 |
E/D (%) | 33.57 | 0.95 | 32.39 | 34.54 | 33.51 |
ΔQuanto CDS Spread (0.01%) | 23.74 | 7.83 | 12.83 | 36.62 | 20.19 |
Q2 2007–Q3 2018—2859 Obs. | |||||
Δ5y Euro Swap Rate (%) | 1.61 | 1.43 | −0.18 | 5.19 | 1.12 |
ΔDaily Volatility Stock (%) | 2.89 | 0.91 | 1.29 | 4.40 | 2.77 |
E/D (%) | 33.74 | 6.59 | 17.47 | 45.03 | 35.13 |
ΔQuanto CDS Spread (0.01%) | 29.28 | 25.10 | −0.22 | 129.25 | 19.55 |
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
---|---|---|---|---|
β0 | −0.000309 | 0.003002 | −0.102779 | 0.9182 |
Δ(Risk-free Rate) | −0.814622 *** | 0.221771 | −3.673263 | 0.0003 |
Δ(Volatility) | 0.131785 | 0.820409 | 0.160633 | 0.8724 |
Δ(Leverage) | 0.017579 | 0.050774 | 0.346210 | 0.7293 |
Δ(Reden. Risk) | 0.080068 *** | 0.024640 | 3.249537 | 0.0012 |
R2 | 0.10 | |||
Adj. R2 | 0.09 | |||
Prob(F-statistic) | 0.00 |
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
---|---|---|---|---|
β0 | 0.001337 | 0.001216 | 1.099076 | 0.2721 |
Δ(Risk-free Rate) | −0.340677 *** | 0.066582 | −5.116620 | 0.0000 |
Δ(Volatility) | 0.401680 | 0.278591 | 1.441824 | 0.1498 |
Δ(Leverage) | 0.002897 | 0.009493 | 0.305228 | 0.7603 |
Δ(Reden. Risk) | 0.491289 *** | 0.029953 | 16.40215 | 0.0000 |
R2 | 0.40 | |||
Adj. R2 | 0.40 | |||
Prob(F-statistic) | 0.00 |
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
---|---|---|---|---|
β0 | 0.002929 | 0.004784 | 0.612316 | 0.5419 |
Δ(Risk-free Rate) | −0.288470 *** | 0.084666 | −3.407152 | 0.0010 |
Δ(Volatility) | 0.115309 | 0.322290 | 0.357779 | 0.7213 |
Δ(Leverage) | −0.286173 ** | 0.118990 | −2.405022 | 0.0182 |
Δ(Reden. Risk) | 0.635197 *** | 0.107532 | 5.907030 | 0.0000 |
R2 | 0.65 | |||
Adj. R2 | 0.64 | |||
Prob(F-statistic) | 0.00 |
Null Hypothesis | Obs | F-Statistic | Prob. |
---|---|---|---|
%Δ daily banks’ stock price does not Granger-cause redenomination risk growth rate | 96 | 2.51428 | 0.1162 |
redenomination risk growth rate does not Granger-cause %Δ daily banks’ stock price | 0.43497 | 0.5112 |
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Anelli, M.; Patanè, M.; Toscano, M.; Zedda, S. The Role of Redenomination Risk in the Price Evolution of Italian Banks’ CDS Spreads. J. Risk Financial Manag. 2020, 13, 150. https://doi.org/10.3390/jrfm13070150
Anelli M, Patanè M, Toscano M, Zedda S. The Role of Redenomination Risk in the Price Evolution of Italian Banks’ CDS Spreads. Journal of Risk and Financial Management. 2020; 13(7):150. https://doi.org/10.3390/jrfm13070150
Chicago/Turabian StyleAnelli, Michele, Michele Patanè, Mario Toscano, and Stefano Zedda. 2020. "The Role of Redenomination Risk in the Price Evolution of Italian Banks’ CDS Spreads" Journal of Risk and Financial Management 13, no. 7: 150. https://doi.org/10.3390/jrfm13070150
APA StyleAnelli, M., Patanè, M., Toscano, M., & Zedda, S. (2020). The Role of Redenomination Risk in the Price Evolution of Italian Banks’ CDS Spreads. Journal of Risk and Financial Management, 13(7), 150. https://doi.org/10.3390/jrfm13070150