A bakery is trying to decide whether or not to buy a new oven. The bakery will buy the oven if it increases profits over the next four years. Assume a $5\%$ interest rate. If the bakery does not buy the new oven, it will earn a profit of $$25,000$ at the end of each of the next four years. If the bakery does buy the new oven, profits will be $$20,000$ at the end of year $1,$ $$24,000$ at the end of year $2,$ $$28,000$ at the end of year $3,$ and $$32,000$ at the end of year $4.$ Should the bakery buy the oven?