Assume that you just want 35 million dollars in Florida lottery hence the state will pay 20 annual payments of 1.75 million each beginning immediately. if the rate of return on securities a similar risk to the lottery earnings e.g. The rate of 20 year us Treasury bonds 6% what is the Present value of your winnings
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Assume that you just want 35 million dollars in Florida lottery hence the state will pay 20 annual payments of 1.75 million each beginning immediately. if the
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- a. Assume that you just $25 million in the California lottery. You have the option of the state paying you 20 annual payments of $1.25 million at the end of each year, or taking all the money up front. If the rate of return on securities of similar risk to the lottery earning ( e.g., the rate on 20-year U.S. Treasury bonds) is 5%, what is the present value of your winnings? Option 1: A lump sum payment of $25 million up front Option 2: Twenty annual payments of $1.25 million HINT: This is an ordinary annuity. b. Considering this, which option should you take? Explain your answerYou have won a state lottery prize quoted as “$12 million dollar lottery”, what this really mean is that if you take the monthly payments of $50,000 for 20 years, you will have a total payout of $12 million. If the appropriate interest (discount) rate is 6.6% APR, what would be the cash payout on this lottery today?You put $6,500 into a Roth IRA and invest everything in a corporate bond fund. The fund has an annual expense ratio of 1.5%. Your expected annual return is 8.5%, your current tax rate is 35%, and you expect your tax rate in retirement to be 25%. The long-term capital gains rate is 15% and the short-term capital gains rate is 35%. What is the after-tax future value of your investment in 20 years? Answer should be formatted as a number with 2 decimal places (e.g. 99.99) The answer is neither 22,355.01 or 18,864.71
- Assume you win a lottery, and you are offered the following stream of payments by the lottery commission: $25,000 today, $32,000 one year from now, another $32,000 two years from now, and a final payment of $55,000 three years from now. You accept the offer. If you invest all of these proceeds at 6% compounded annually and extract nothing from the investment, how much will you have at the end of the fourth year? (RESOURCE: Timing of Cash Flows) NOTE: You can use this equation FV=PV x (1+i)^n or in excel you can use =FV(RATE, NPER(1), 0, AMOUNT(1)), FV=(RATE, NPER(2),0,AMOUNT(2)...... Then add the totals of each rowYou are considering investing in a security that will pay you $2,000 in 35 years. a. If the appropriate discount rate is 10 percent, what is the present value of this investment? b. Assume these investments sell for $275 in return for which you receive $2,000 in 35 years. What is the rate of return investors earn on this investment if they buy it for $275?The market interest rate is 9 percent and is expected to stay at that level. Consumers can borrow and lend all they want at this rate. Consider each of the following situations. 1) You have just won a million dollar lottery and will receive $50000 a year for the next 20 years. How much is this worth to you today? Suppose you receive the first of 20 payments today. 2) You win the "honest million" jackpot. You can have $1 million today or $60000 per year for eternity (a right that can be passed on to your heirs). Assume you care about your heirs. Which do you prefer? $1 million or the $60000 perpetuity?
- USE EXCEL TO SOLVE THIS PROBLEM AND SHOW THE FORMULA! You are considering investing in a security that will pay you $1,000 in 30 years. a. If the appropriate discount rate is 10 percent, what is the present value of this investment? b. Assume these securities sell for $365, in return for which you receive $1,000 in 30 years. What is the rate of return investors earn on this security if they buy it for $365?1. You are an employee that earns 20,000 per month. Assuming that you want to invest half of the amount to be invested at the end of each month in a mutual fund that would grow at a rate of 6% for five years. How much would be the future value of this investment? 2. Assuming that you obtain a bank loan for 500,000 with an annual interest payment of 10% of the principal. Compute for the present value under the following independent scenarios: a. Effective rate is 10% b. Effective rate is 8% c. Effective rate is 12%You are thinking of ways to make money. One option is to borrow $20,000 from the bank, which charges you 8% per year, to invest entirely in bond and stock market. The bond will give you $1,000 each year for the next 10 years, plus a lump sum of $10,000 at the end of year ten. The stock market will give up a return of $3,000 after five years of investment. At the end of 10 years, you will need to pay back the bank $20,000. Given the discount rate is 8%, should you go with this option ?
- Setrakian Industries needs to raise $71.8 million to fund a new project. The company will sell bonds that have a coupon rate of 5.78 percent paid semiannually and that mature in 25 years. The bonds will be sold at an initial YTM of 6.46 percent and have a par value of $2,000. How many bonds must be sold to raise the necessary funds?You are considering investing in a security that will pay you $5,000 in 29 years. If the appropriate discount rate is 12 percent, what is the present value of this investment? b. Assume these investments sell for $2,423 in return for which you receive $5,000 in 29years. What is the rate of return investors earn on this investment if they buy it for $2,423? If the appropriate discount rate is 12 percent, the present value of this investment isA firm needs $1.2 million in additional funds. These can be borrowed from a commercial bank with a loan at 7 percent for one year or from an insurance company at 9 percent for six years. The tax rate is 30 percent. What will be the firm's earnings under each alternative if earnings before interest and taxes (EBIT) are $415,000? Round your answers to the nearest dollar. Commercial bank: $ Insurance company: $ If EBIT will remain $415,000 next year, what will be the firm's earnings under each alternative if short-term interest rates are 5 percent? Round your answers to the nearest dollar. Commercial bank: $ Insurance company: $ If EBIT will remain $415,000 next year, what will be the firm's earnings under each alternative if short-term interest rates are 13 percent? Round your answers to the nearest dollar. Commercial bank: $ Insurance company: $