You are a strong advocate for a one$-$year investment project that would cost your firm

$$10,000$ today but generate virtually certain earnings of $$15,000$ at year$-$end. Your firm would have to borrow $$10,000$ for one year at an interest rate of $20$ percent if it wanted to invest in this project. You may use $20$ percent as the discount factor. Should your firm invest in this project? Use the concept of present value in answering this question. Please give an explanation and show your calculations.