ebgn321 engineering economics help

You just won a CSM Lottery! The scheduled payments involve six end of period values listed below: Pament 10,000 15,000 20,000 25,000 30,000 35,000 Month 0 10 20 30 40 50 You currently have savings in a brokerage account that have averaged a 12.68% Effective annual interest rate based on monthly compounding over the last 5 years, and you expect that level of annual return to continue over each of the next 5 years. For each of the following questions, Support your decision with a proper time value of money calculation. i) If CSM offered you a check today for $85,000 would you take the cash or payments? ii) If you accept the payments and invest the money in your brokerage account: how much cash will you have accrued from the lottery payments and accrued interest by the end of month 50? Use the same interest rate for this question iii) Beginning today (time zero), what 50 uniform beginning of month payments would be equivalent to the current cash ows? Use the same Interest Rate for this