Contact your bank to find out. Each bank pays different rates...most are less than 1% right now on savings accounts. If you can afford to have that much in savings, it would be more profitable to invest in a long term CD. With the way the economy is right now, I would not trust the stock market to expect a gain in profit from investing.
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Other people asked questions on various topics, and are still waiting for answer. Would be great if you can take a sec and answer them