Joe just inherited the family business, and having no desire to run it$,$ he has decided

to sell it to an entrepreneur. In exchange for the family business, Joe has been offered

an immediate payment of $$100,000.$ Joe will also receive payments of $$50,000$ in one

year, $$50,000$ in two years, and $$75,000$ in three years. The current market rate of

interest for Joe is $6\%.$Suppose that a second entrepreneur approaches Joe and offers him $$250,000$ today for the business. Should Joe accept this offer or should he stick with the original offer of $$100,000$ and the series of payments over three years? Why?