A total of 58 percent of U.S. investors with $1 million or more in investable assets say they will invest only domestically this year, according to a survey from the Spectrem Group.

Perhaps some want to stay home because only Japanese stocks outperformed U.S. stocks last year. The Standard & Poor's 500 Index gained 29.6 percent, while the Nikkei 225 Index soared 56.7 percent.

The study, reported by CNBC, found that of those who will dip their feet overseas, 20 percent plan to invest in Europe, 16 percent in China, 12 percent in Brazil, 11 percent in Canada, 8 percent in Japan and Australia, 7 percent in India and the United Kingdom and 3 percent in Russia.

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The millionaires are going conservative in their domestic investing. When asked where they're likely to invest, 55 percent said checking or savings accounts and 52 percent said stocks, followed by money market funds and certificates of deposit.

Millionaires might be "concerned about the [stock] market maintaining its record levels," said George Walper, president of Spectrem Group, according to CNBC.

Meanwhile, another survey of wealthy investors, conducted by global investment adviser deVere Group, shows that building retirement funds represents investors' top priority in 2014.

Of 547 deVere clients around the world with an investment portfolio of at least 1 million British pounds ($1.64 million), 38 percent said their top financial New Year's resolution is to build their retirement investments.

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