Show your work on paper or excel. You are offered the opportunity of 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 jewellers. You don't 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 retum 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. b) You decide to borrow the 20,000 on a credit card and 30,000 on a payday loan. The credit card quoted interest is 18% compounded monthly. The payday loan quoted interest rate is 52% compounded weekly. What is the effective annual rate (EAR) for the credit card and loan