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Case 1 time value of money, 2.25 points) Let assume that you have won 180 000 EUR playing lottery. Due to technical problems (it takes time for the lottery company to collect money) you are offered two different options for money delivery: 1) the money is delivered to you in 30 equal monthly payments; the first payment is to be delivered exactly in a month (since today 2) 120 000 EUR are given you immediately, remaining 60 000 EUR will be delivered in X months. Assuming monthly interest rate of 0.50388%, in how many months remaining 60 000 EUR should be delivered so that option 2 would be as good as option 1 from the time value of money perspective? Le you have to find X) Case 2 (valuation of bonds, 1.75 points) You bought 100 coupon bonds of one corporation, in total you paid for the bonds 94 969.65 Euros. The bond's time to maturity is 10 years, and it pays annual coupon in amount of 50 Euros per bond. With the last coupon payment you will also receive the nominal value of the bond Market interest rate is currently 7.5%. What's the bond's nominal value? Case 1 time value of money, 2.25 points) Let assume that you have won 180 000 EUR playing lottery. Due to technical problems (it takes time for the lottery company to collect money) you are offered two different options for money delivery: 1) the money is delivered to you in 30 equal monthly payments; the first payment is to be delivered exactly in a month (since today 2) 120 000 EUR are given you immediately, remaining 60 000 EUR will be delivered in X months. Assuming monthly interest rate of 0.50388%, in how many months remaining 60 000 EUR should be delivered so that option 2 would be as good as option 1 from the time value of money perspective? Le you have to find X) Case 2 (valuation of bonds, 1.75 points) You bought 100 coupon bonds of one corporation, in total you paid for the bonds 94 969.65 Euros. The bond's time to maturity is 10 years, and it pays annual coupon in amount of 50 Euros per bond. With the last coupon payment you will also receive the nominal value of the bond Market interest rate is currently 7.5%. What's the bond's nominal value