If you put the $150K toward the mortgage, it will reduce your interest cost for the next year by ~4%, or ~$6K. If you are sure you will move in a year and will get the money back from the sale of the current home, "earning" 4% on the $150K is not bad at all.
There is the liquidity issue COEE noted, but if that is not a concern then 4% beats a savings account or CD.
The common "pay mortgage vs. invest" question is usually about a long term mortgage vs. stock investment, in which a lower but guaranteed return is compared against an expected higher but not guaranteed return. And, you could put the $150K into the stock market. If your after-tax return for the year is >4% it will have been a good choice. If not, it won't. But if you don't sell in a year, and in fact remain in the current house much longer, the odds of the stock market returning >4% probably increase.