Your business has just won a lawsuit against a company that illegally used your intellectual property. The judge has determined that this company must pay you $$20,000$ a year for the next five years as compensation. As a result of this outcome, you are hoping to undergo a major expansion of your business, and open a new manufacturing facility at the end of this five$-$year period, which will cost around $$180,000.$ You plan to save up all of your lawsuit winnings, and you are trying to determine how much additional cash you'll have to save in order to make this investment. If interest rates are expected to be $7\%$ over this five$-$year period, how much additional cash will your company have to retain $($save$)$ today in order to build its new facility?