30.Clementine and Leeexpect to deposit the following cash flows at the end of years 1 through 5, $1,000; $4,000; $9,000; $5,000; and $2,000 respectively. Alternatively, theycould deposit a single amount todayand have the same amount in your account at the endof year 5. How large does the single deposit need to be today if Clementine and Leecan earn 10% compounded annuallyon their account? 31.What isthefuturevalueat theendof year 18of $10,000 depositedtodayinto an account that pays interest of 4.5% p.a., but with dailycompounding(assume 365 days per year)?

32.Ellieisevaluatinganinvestmentthatwillprovidethefollowingreturnsattheendofeachofthe following years: year 1, $11,500; year 2, $10,000; year 3, $7,500; year 4, $5,000; year 5, $2,500; year 6,$0;andyear7,$12,500. Elliebelievesthat sheshouldearnanannualrateof 8percentonthis investment. How much should Elliepay for this investment

33.On theday that his first child was born, EzioAuditore de Firenzedeposited $6,200 into an investment account. The only purpose for the account was to pay for his son's first year of college tuition. Assume that his son, Flavia, started college on his 18thbirthday and his first year tuition payment had to be made that day. The amountneeded on that day was $45,000. If that was indeed the amount of money in the account on Flavia's 18thbirthday, what annual rate of return did Ezio earn on his investment account?

34.Marcus Hollowayhas $1,000 that he will use as a down payment on a car. Assuming that hecan afford a payment of $225per month, how much can Marcusspend on a car(that is, what is the total costof the car that Marcus can purchase)if the interest rate is 3.75% and if he will finance his purchase with a 5 year, monthly payment loan?

35.Suppose Link deposits$5,000 into an account earning 5.875percent interest, compounded monthly. How many years (rounded to one decimal place -for example, 32.1843 year = 32.2) will it take for Link 's account to be worth $20,000?

36.Suppose CrashBandicootdeposits$5,000intoanaccountearning4percentinterest,compounded monthly and Crashalso make monthly contributions of $50 (first monthly contribution made one month after the initial deposit is made). How many years (rounded to one decimal place -for example, 32.1843 year = 32.2) will it take for the account to grow to $7,500 in this case?

37.Assume that Ratchet and Clankare trying to borrow money from you to finance their newbusiness. Assumethat Ratchet and Clankpromise to repay you in three installments, one payment of$5,000 to be made exactly 2yearsfrom today, a second payment of $10,000to be made exactly 5yearsfrom today, and a final payment of $15,000 to be made 8years from today.If your opportunity cost of funds is 7.5%p.a., (that is, use an interest rate of 7.5% for this question), how much should you be willing to lend Ratchet and Clanktoday?

38.What is the future value at the end of year 28of depositing $5,000 today, $3,500 at the end of years 1, 2 and 3, $5,000 at the end of years 4, 5, 6 and 7 and $4,250 at the end of years 8, 9, 10, 11 and 12 into an account that pays 9.5% p.a.?(No deposits will be made into the account after year 12).

39.If LisaHamiltonwantsto fund a scholarship that would pay$12,500 per year forever at GSU, how much would Lisahave to deposit today if shewanted the scholarship to start paying six (6)years from today? Assume the endowment could earn 6.25% p.a. interestforever.

40.Kratoscurrently owes$26,000 on a car loan at 4.25 percent interest. If Kratosmakesmonthly payments of $596.59 per month, how long (i.e., number of months rounded to one decimal place) will it take himto fully repay the loan?

31. 32. 33. 34. 35. 36. 37. 38. 39. 40. What is the future value at the end of year 18 of $10,000 deposited today into an account that pays interest of 4.5% p.a., but with daily compounding (assume 365 days per year)? Ellie is evaluating an investment that will provide the following returns at the end of each of the following years: year 1, $11,500; year 2, $10,000; year 3, $7,500; year 4, $5,000; year 5, $2,500; year 6, $0; and year 7, $12,500. Ellie believes that she should earn an annual rate of 8 percent on this investment. How much should Ellie pay for this investment? On the day that his rst child was born, Ezio Auditore de F irenze deposited $6,200 into an investment account. The only purpose for the account was to pay for his son's rst year of college tuition. Assume that his son, F lavia, started college on his 18th birthday and his rst year tuition payment had to be made that day. The amount needed on that day was $45,000. If that was indeed the amount of money in the account on Flavia's 18th birthday, what annual rate of return did Ezio earn on his investment account? Marcus Holloway has $1,000 that he will use as a down payment on a car. Assuming that he can afford a payment of $225 per month, how much can Marcus spend on a car (that is, what is the total cost of the car that Marcus can purchase) if the interest rate is 3.75% and if he will nance his purchase with a 5 year, monthly payment loan? Suppose Link deposits $5,000 into an account earning 5.875 percent interest, compounded monthly. How many years (rounded to one decimal place , for example, 32.1843 year = 32.2) will it take for Link 's account to be worth $20,000? Suppose Crash Bandieoot deposits $5,000 into an account earning 4 percent interest, compounded monthly and Crash also make monthly contributions of $50 (rst monthly contribution made one month after the initial deposit is made). How many years (rounded to one decimal place for example, 32.1843 year = 32.2) will it take for the account to grow to $7,500 in this case? Assume that Ratchet and Clank are trying to borrow money from you to nance their new business. Assume that Ratchet and Clank promise to repay you in three installments, one payment of $5,000 to be made exactly 2 years from today, a second payment of $10,000 to be made exactly 5 years from today, and a nal payment of $15,000 to be made 8 years from today. If your opportunity cost of funds is 7.5% p.a., (that is, use an interest rate of 7 .5% for this question), how much should you be willing to lend Ratchet and Clank today? What is the future value at the end of year 28 of depositing $5,000 today, $3,500 at the end of years 1, 2 and 3, $5,000 at the end ofyears 4, 5, 6 and 7 and $4,250 at the end ofyears 8, 9, 10, 11 and 12 into an account that pays 9.5% p.a.? (No deposits will be made into the account after year 12). If Lisa Hamilton wants to fund a scholarship that would pay $12,500 per year forever at GSU, how much would Lisa have to deposit today if she wanted the scholarship to start paying six (6) years from today? Assume the endowment could earn 6.25% pa. interest forever. Kratos currently owes $26,000 on a car loan at 4.25 percent interest. If Kratos makes monthly payments of $596.59 per month, how long (i.e., number of months rounded to one decimal place) will it take him to fully repay the loan