A very close friend of yours has approached you to invest in an investment scheme. The investment would require you to deposit $$10,000$ at the end of year $1,$ $$8,000$ at the end of year $2,$ and $$5,000$ at the end of year $3$ and $4.$ At the end of the fifth year the investment would repay $$31,000.$ If you can earn $4\%$ on your fixed deposit account, does your friend$$s investment sound attractive to you?