Grandpa Joe is deciding whether he should start collecting monthly social security now or wait 5 years. If he collects now, he'll get $2700/month. If he waits 5 years, he gets $4000/month.

If the opportunity cost of capital is 2%, what is the NPV, IRR and Profitability Index in 10 years for both scenarios (collecting now, or in 5 years.)

Please show work