ZURICH--The market value of Switzerland's biggest banks crumbled Thursday in the wake of the central bank's decision to scrap its currency cap and potentially raise fees charged on the big lenders' deposits.

The Swiss National Bank's move suddenly exposed the country's big banks to potentially significant declines in the value of the euro and U.S. dollar relative to the Swiss franc. As of midday, the euro had fallen to about 1.03 francs from 1.20. The central bank had pledged for years to maintain the cap of 1.20 to the euro to facilitate Switzerland's export-driven economy.

In addition, the central bank's corresponding decision Thursday to further lower an already negative rate on certain deposits, effectively raising the rate charged to the banks' deposits to 0.75% from 0.25%, could raise the cost for the big banks to park money at the SNB.

The hundreds of smaller, private banks that dot the country--which are already under duress--may now further suffer alongside their bigger peers given the increasing costs, coupled with a potential decline in dollar- or euro-denominated income and possibly severe swings in the value of the portfolios they maintain for wealthy clients.

"It's bad for the whole banking sector," said Andreas Ruhlmann, an analyst at IG Bank.

Shares of Zurich-based UBS AG, the country's biggest bank, had fallen nearly 14% by midday. Crosstown rival Credit Suisse Group AG's shares were down 13%.

A spokesman for Credit Suisse declined to comment. A UBS spokesman said he was unable to comment immediately.

In December, when the Swiss National Bank moved to implement a negative interest rate on deposits, neither Credit Suisse nor UBS said it would have an immediate financial impact. Both big banks are required to hold a certain amount of funds at the central bank, and the negative rate announced last month didn't apply unless the banks' deposits exceeded 20 times that minimum amount.

On Thursday, the central bank didn't specify a threshold above which the new negative rate would be charged on deposits.

A spokesman for Julius Baer Group AG, a large Zurich-based private bank, declined to comment. Shares of Julius Baer were down more than 18%.

Switzerland's private banks have been roiled in recent years by increasing legal pressure from foreign authorities seeking to track down undeclared funds hidden in Swiss accounts. That pressure has raised compliance costs for banks, pushing many to seek buyers or offload some of their operations.

A recent study conducted by consulting firm EY found that 81% of Swiss banks expect the sector to consolidate in the coming year.

Write to John Letzing at john.letzing@wsj.com

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