You are offered the opportunity of a lifetime; a financially challenged property developer needs to borrow funds quickly to build a hospital in the emirate. He is willing to double your money and pay you back in around 3 months. He is offering collateral of uncut diamonds, but the collateral will remain in the vault of a local jeweller. You dont believe that you will get your money back in 3 months but think that the developer will possibly pay you back in 12 months and most likely within 36 months. You are trying to decide if the return is worth the risk. You estimate the following probabilities

Scenario Outcome Probability

1 100,000 Payback in 12 mos. 20%

2 100,000 Payback in 24 mos. 20%

3 100,000 Payback in 36 mos. 20%

4 250,000 of diamond in 48 mos. 20%

5 0 receive nothing. 20%

You are willing to offer 50,000 and will (hopefully) receive 100,000 upon payoff. You estimate the uncut diamonds are valued at 250,000.

a) What is the estimated internal rate of return on investment? Is there more than one IRR?