If the referendum fails, it could be a problem for the country's banks, because recapitalizing those financial institutions could be harder, said Federico Santi, an analyst at Eurasia Group.
"The fear is that banks, particularly [Monte dei Paschi], will need public money," he said. Monte dei Paschi is Italy's third-largest lender and had more than $25 billion in bad debt as of 2015. A "no" vote could also drive up Italian interest rates.
Italy's banks probably can't look to the European Union, either. Any bailout from the EU would be a long way off because of regulations the bloc put into place in 2014. Under the new requirements, before a bank is bailed out, it must first go through a "bail in," a mechanism by which a bank on the cusp of failing imposes losses on its creditors and depositors.
Such a bail in would be devastating to a large number of regular Italians. A third of the country's total outstanding debt is held by those retail investors, according to ratings agency Fitch.
"Italian banks are on the knife's edge. It will take a long time" for Italy as a whole to get its debt situation in order, said Mark Fleming-Williams, Europe analyst at Stratfor, who noted that Italy is contending with a 132 percent debt-to-GDP ratio. By comparison, the U.S. debt-to-GDP ratio stands at 104 percent.
Italian bond yields have risen sharply since bottoming out in early September, with the benchmark 10-year note yielding around 2 percent on Thursday.
Italian 10-year yield in 2016Source: FactSet
The European Central Bank in 2015 began massive quantitative easing — a program for increasing the money supply by buying up government bonds and driving down interest rates — that amounted by 60 billion euros per month ($63.6 billion). The program was subsequently extended to March 2017, but the ECB has not indicated that it will continue the stimulus program beyond then.
Reuters reported Tuesday, citing sources, that the ECB would temporarily increase Italian bond purchases should Sunday's referendum drive up Italy's borrowing costs.
Italy is the European Union's third largest economy, excluding the United Kingdom, which is on its way out.