Comparing Lottery Payouts A lottery winner is given two options: Option I: Receive a $20 million lump-sum payment. Option II: Receive 25 equal annual payments totaling $60 million, with the first payment occurring immediately. If money can earn 6% interest compounded annually dur- ing that long period, which option is better? Hint: With each option, calculate the amount of money earned at the end of 24 years if all of the funds are to be deposited into a savings account as soon as they are received.

A borrower bought a house for $300,000; he can obtain an 80% loan with a 20-year fully amortizing, 7% interest rate and monthly payment. Alternatively, he could get a 30-year fully amortizing 90% loan at 9% What is the incremental cost of borrowing the additional fund?

the lottery commission wants to be able to withdraw $400,000 at the beginning of each year for twenty years to cover annual payments due to Randy who won 8 million. How much does the commission need to invest today in an account paying 3.6% compounded annually to provide these payments?

Imagine that you won $100 million in the lottery and were offered the choice between two payment plans: Plan A: Receive $61 million in a lump sum today Plan B: Receive an initial payment of $1.5 million today and annual payments that increase by 5% annually over the next 29 years (30 payments total) a. Determine the net present value of each plan without discounting. Which plan is the better option? b. Assuming an interest rate of 4%, determine the future value of each plan at the end of the 29 years with discounting. Which plan is the better option?

You like to buy lottery tickets every week. The lottery pays an insurancecompany that pays the winner an annuity. If you win a $60,000,000 lotteryand elect to take an annuity, you get $3,000,000 per year at the beginningof each year for the next 20 years.a. How much must the state pay the insurance company if money can earn3 percent?b. How much interest is earned on this lump-sum payment over the 20 years?c. If you take the cash rather than the annuity, the state pays you $30,000,000in one lump sum today. You must pay 40 percent of this in taxes. If you arecurrently working and invest this money at 6 percent, how much moneywill you have in a mutual fund at the end of 20 years?d. Are you better off with the annuity, or should you take the cash? Explain.

When purchasing a $100,000 house, a borrower is comparing two loan alternatives. The first loan is an 80% loan at 4% with monthly payments of $591.75 for 15 years. The second loan is 90% loan at 5% with monthly payments of $526.13 over 25 years. What is the incremental cost of borrowing the extra money assuming the loan will be held for the full term? O 6.50% O 13.21% O 7.20% O 13.70%