a) You are planning to retire in 25 years time. Immediately after your retirement, you wish to go for a round the world trip lasting one year. Your monthly expenses for the trip work out to be 9000 and the first withdrawal will be made at the end of the month after your retirement. You also want to provide yourself with 35,000 a year for next 15 years on your return from the world trip. How much you should save every month to provide for the above if the effective rate of interest is 14% per annum.

Explain the problems posed for the use of the IRR when it is necessary (i) to choose between two investments and when (ii) investments are characterised by negative net cash flows at the end of their lives.