Answer: Yes they will.
Step-by-step explanation:
With high interest rates, the company will be able to make better returns if they invested the money and took advantage of those interest rates instead of spending the money on their project.
Assets like bonds will be better to go into because they will offer a return based on the higher interest rates which will bring in good returns.
The company is free to use those funds to invest in projects if these projects will lead to a better return than could be gotten from holding bonds but if that is not the case, they should simply buy bonds and hold them for superior returns.