“Historically low-interest rates, a shortage of new housing inventory and limited new construction have contributed to rising home prices nationwide.” — Don Ganguly, senior vice president of Mynd Investor Services

The decline of home mortgage interest rates is continuing to fuel homebuying demand in December, pushing the median home-sale price up 13% nationwide to $334,300, according to a new report from online broker Redfin.

Miami-Dade, Broward and Palm Beach counties all saw significant year-over-year increases in luxury single-family sales, average sales price and cash transactions.

The number of homes for sale nationwide dropped below 700,000 in December, hitting an all-time low, while home prices were up double-digits over the year prior, according to realtor.com’s Monthly Housing Trends Report.

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Homeowners nationwide enjoyed a more than 8% increase in home prices over the last 12 months ending in November, making it the largest year-over-year increase since March 2014, according to the CoreLogic Home Price Index.

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Inventory also reached its lowest point in the report’s history, down 31.8% from the same time last year and down 13.3% from October.

The report noted that 29.4% of Redfin.com users nationwide looked at relocating to another metro area in October and November — that’s up from 25.4% last year.

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Griffin, the owner of Chicago-based Citadel Securities, has already sold the larger of the two units for $35 million and the second is currently under contract for $12.5 million.

More than half of Redfin listings (54%) experienced bidding wars in November, down only 4 percentage points from the previous month, according to the online broker’s new report.

The transaction represents the third-most expensive penthouse sale in Miami Beach within the past seven years.