please complete 8 and 9 and show work. also please check if my andwrs for 6 and 7 are corrrct and show work as well.

6. Consider the following set of cash flows to be received over the next 3 years End of Year Cash flow S100 $225 If the discount rate is 10%, how would we write the formula to find the Future Value of this set of cash flows at year 3? a $100 $220 $300 1.10 1.10 * 1.10 b.$100 (1.10) + $225 (1.10) +$300 (1.10) c. $100 (1.10)' + $225 (1.10) + $300 (1.10) d. S100 (1.10)' + $225 (1.10) + $300 EU 7. You want to buy a car, and a local bank will lend you $21,000. The loan will be fully amortized over 5 years (60 months), and the nominal interest rate will be 6% with interest paid monthly. What will be the interest payment in the second month? A. $406 21000 (+1) PV B. $1,299.4 60 = C12 C. $103. 57 i s If = [6/12] D. $1,257.6 E. $350 CPT PMT .997 8. Suppose you win $100 million in lottery. The money is paid in equal annual installments of $4 million over 25 years. If the appropriate discount rate is 10%, how much is the sweepstakes actually worth today? A. $100,000,000 B. $4,000,000 C. $36,308,160 D. $42,699,100 E. $45,537,760 9. To buy a new house, you must borrow $270,000. To do this, you take out a $270,000. 30-year 9% mortgage. Your mortgage payments, which are made at the end of each year (one payment each year) include both principal and 9% interest on the declining balance. How large will your annual payments be? A. $24,334 B. $26,281 C. $25,000 D. $82,809 E. $107,651