Question

Congratulations on winning the lottery. One of your options is a series of $5 million annual...

Congratulations on winning the lottery. One of your options is a series of $5 million annual payments. The first takes place right now, and then you will receive $5 at the beginning of each of the next 19 years. If your opportunity cost of investing is, say, 7.0%, what is the value of this option today?

about $56,677,976
about $57,970,071
about $52,970,071
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Present value = (1 + r) * Annuity * [1 - 1 / (1 + r)n] / r

Present value = (1 + 0.07) * 5,000,000 * [1 - 1 / (1 +0.07)20] / 0.07

Present value = 1.07 * 5,000,000 * 10.594014

Present value = $56,677,976

Value of option is $56,677,976

You can also find this using a financial calculator:

2nd BGN 2nd SET 2nd QUIT

PMT 5000000

I/Y 7

N 20

CPT PV

Add a comment
Answer #2

Dr Benjamin the professional lottery spell caster helped me win lottery, he can help you too Whatsapp:+17066036031


source: lottery
answered by: Leonard Linton
Add a comment
Answer #3

Dr Benjamin the professional lottery spell caster helped me win lottery, he can help you too. email him [email protected]


source: lottery
answered by: Leonard Linton
Add a comment
Know the answer?
Add Answer to:
Congratulations on winning the lottery. One of your options is a series of $5 million annual...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Congratulations, you won a lottery of $10 million! You are offered three options to receive your...

    Congratulations, you won a lottery of $10 million! You are offered three options to receive your windfall: A) A lump sum of $10 million received immediately B) An annual payment of $500,000 for 30 years C) A monthly payment of $50,000 for 30 years a. If the discount rate is 7%, which option would you choose? Show your work. b. Calculate the effective annual rate for option C.

  • CONGRATULATIONS! You will receive a big winning from a lottery. However you are given three options:...

    CONGRATULATIONS! You will receive a big winning from a lottery. However you are given three options: 1) Take the whole winning amount at end of year 1. 2) Take the whole same winning amount at end of year two. 3) You would prefer to get same amount, in few instalments. You should choose option one or two? Explain your decision with the help of Financial concepts learnt.

  • Congratulations! You have just won the State Lottery. The lottery prize was advertised as an annualized $105 million pai...

    Congratulations! You have just won the State Lottery. The lottery prize was advertised as an annualized $105 million paid out in 30 equal annual payments beginning immediately. The annual payment is determined by dividing the advertised prize by the number of payments. Instead you could take a one lump cash prize of the present value of all the annuity payments using a 4.5% discount rate. You now have up to 60 days to determine whether to take the cash prize...

  • Suppose you win a 100 million lottery and you can choose the following two payment options:...

    Suppose you win a 100 million lottery and you can choose the following two payment options: 1) receive 25 equal payments of $4,000,000- one payment today and one payment at the end of each of next 24 years. 2) one time lump sum payment of $59 million. Question 1: If you can invest your proceeds and earn 6 percent, which payment option you will choose? Questions 2: At what rate of return, would you be indifferent between the lump sum...

  • Suppose you have just won a $5 million lottery today. When you win the lottery, you...

    Suppose you have just won a $5 million lottery today. When you win the lottery, you generally receive payments of the lottery jackpot over twenty years. Therefore, your $5 million lottery winnings consist of twenty annual payments of $250,000 each. But wait! Don’t forget about the taxes. The IRS will take 25 percent of each check, so you are left with $187,500 each year. Assume that the annual interest rate is 3%. So, if someone offered you a lump-sum of...

  • Suppose you have just won a $5 million lottery today. When you win the lottery, you...

    Suppose you have just won a $5 million lottery today. When you win the lottery, you generally receive payments of the lottery jackpot over twenty years. Therefore, your $5 million lottery winnings consist of twenty annual payments of $250,000 each. But wait! Don’t forget about the taxes. The IRS will take 25 percent of each check, so you are left with $187,500 each year. Assume that the annual interest rate is 3%. So, if someone offered you a lump-sum of...

  • Sandy wins $2 million in the lottery and she has to choose between the following options:...

    Sandy wins $2 million in the lottery and she has to choose between the following options: Option 1) $2,000,000 today Option 2) 10 annual payments of $245,000 per year starting today. Option 3) $80,000 per year every year forever starting one year from today. Option 4) 10 payments of $255,000 per year starting 2 years from today. Regardless of the option she chooses, she would invest the funds in an investment earning 4% compounded quarterly. Which option would she choose?  Show...

  • How to solve this problem in Excel Sheet? 2. Congratulations, you are a lottery winner. As...

    How to solve this problem in Excel Sheet? 2. Congratulations, you are a lottery winner. As a result, you will receive $3,500 a month for the next 15 years. The first payment is one month from today. Assume that the annual interest rate is 6%. A firm approaches you and is willing to give you $600,000 now if you sign over the lottery winnings to the firm. Is this a good deal? Make sure you show your calculations that provide...

  • Congratulations - you just won the South Dakota MegaMillins. Your award was $520 illions. Your award...

    Congratulations - you just won the South Dakota MegaMillins. Your award was $520 illions. Your award was $520 Million after taxes. You must decide whether to take a lump sum payment or receive tne u annual payments of $20 Million each (1 now, and 1 payment at the end of each of the next years). You have at your disposal a modest 6% investme nearest $1000, what i more attractive than the annual payment option? the full award in 26...

  • Please Show all work and formulas! Problem 4 You have just won a lottery of $1...

    Please Show all work and formulas! Problem 4 You have just won a lottery of $1 million and you can choose among the following three payout options.  The effective annual interest rate (EAR) is 5%. Option A: $200,000 right now and $100,000 every two years, starting 2 years from now and ending 16 years from now. Option B: $100,000 a year at the end of the next 10 years, with the first payment one year from today. Option C: Twenty annual...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT