SNB chairman Jordan is speaking, and says:

The USDCHF is trading at 0.89046. Looking at the hourly chart, the price action has been trading above and below the 100 and 200 hour moving averages and 0.8894 and 0.89056 respectively. The low price off of the CPI data did find support buyers ahead of the swing area between 0.8859 and 0.88662. The low price stall just ahead of that area at 0.89678 before bouncing back to the upside.

USDCHF
USDCHF trades above and below the 100/200 hour MAs

For the EURCHF, looking at the 4 hour chart, the low price today dip below the low price from last week at 0.9744. The low price reach 0.9742. The inability to press lower has led to a rotation back to the upside. The price currently trades at 0.9772. The 100 hour moving average comes in at 0.97847 (not shown). That is the next target to get to and through if the buyers are to take more control.

EURCHF
EURCHF bounces off the low from last week

Although his comments are more hawkish, the ECB is in the same boat with expectations for at least a hike or two left if not more. The CHF vs the EUR reached a high from last week vs that currency.

The Fed may be done which could be negative for the USDCHF, but the price is above its 200 and 100 hour moving averages. The price would have to move below that level to increase the bearish bias technically.