expected return on

Suppose you won the lottery and had two options: (1) receiving $0.8 million or (2) taking a gamble in which, at the flip of a coin, you receive $1.6 million if a head comes up but receive zero if a tail comes up. What is the expected value of the gamble? Enter your answer in millions. For example, an answer of $500,000 should be entered as 0.5. Round your answer to one decimal place. $   million Would you take the sure $0.8 million or the gamble?   If you chose the sure $0.8 million, would that indicate that you are a risk averter or a risk seeker?   Suppose the payoff was actually $0.8 million - that was the only choice. You now face the choice of investing it in a U.S. Treasury bond that will return $856,000 at the end of a year or a common stock that has a 50-50 chance of being worthless or worth $1,920,000 at the end of the year. The expected profit on the T-bond investment is $56,000. What is the expected dollar profit on the stock investment? Round your answer to the nearest…

Suppose you won the lottery and had two options: (1) receiving$0.5 million or (2) taking a gamble in which, at the flip of a coin, you receive $1 million if ahead comes up but receive zero if a tail comes up.a. What is the expected value of the gamble?b. Would you take the sure $0.5 million or the gamble?c. If you chose the sure $0.5 million, would that indicate that you are a risk averter or arisk seeker?d. Suppose the payoff was actually $0.5 million—that was the only choice. You nowface the choice of investing it in a U.S. Treasury bond that will return $537,500 at theend of a year or a common stock that has a 50–50 chance of being worthless or worth$1,150,000 at the end of the year. 1. The expected profit on the T-bond investment is $37,500. What is the expected dollarprofit on the stock investment?2. The expected rate of return on the T-bond investment is 7.5%. What is the expectedrate of return on the stock investment?3. Would you invest in the bond or the stock? Why?4. Exactly…

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A game of chance offers the following odds and payoffs. Each play of the game costs $200, so the net profit per play is the payoff less $200. Probability Payoff Net Profit 0.30 $400 $200 0.60 300 100 0.10 0 –200 1. What is the expected cash payoff? Note: Round your answer to the nearest whole dollar amount. 2. What is the expected rate of return? Note: Enter your answer as a percent rounded to the nearest whole number. 1.What is the variance of the expected returns? Note: In the calculation, use the percentage values, not the decimal values for the rates of return. Do not round intermediate calculations. Round your answer to the nearest whole number. 2.hat is the standard deviation of the expected returns? Note: Enter your answer as a percent rounded to 2 decimal places.

Find the expected payback for a game in which you bet ​$88 on any number from 0 to 499. If your number comes​ up, you get ​$1000.

So, what could be better than winning a SuperLotto Plus jackpot? Choosing how to receive your winnings! Before playing a SuperLotto Plus jackpot, you have a choice between getting the entire jackpot in 26 annual graduated payments or receiving one lump sum that will be less than the announced jackpot. (See Figure 2.29.) What would these choices come out to for an announced jackpot of $7 million?• Lump-sum cash-value option: The winner would receive the present cash value of the announced jackpot in one lump sum. In this case, the winner would receive about 49.43%, or $3.46 million, in one lump sum (less tax withholdings).This cash value is based on average market costs determined by U.S. Treasury zero-coupon bonds with 5.3383% annual yield.• Annual-payments option: The winner would receive the jackpot in 26 graduated annual payments. In this case, the winner would receive $175,000 as the first payment (2.5% of the total jackpot amount) immediately. The second payment would be $189,000.…

Suppose you have won $1,122,000 in the lottery. You have two options. Option 1: Take a lump sum of $953,700. Option 2: Receive the entire amount of your winnings in 240 monthly installments of $4,675.00. Either way, you have decided to be very disciplined about this money and invest all you receive. a. Suppose you take Option 1 and deposit the lump sum of $953,700 into an account that pays an APR of 4% compounded monthly. Find the account balance after 20 years. Option 1: $ _____________ b. Suppose you take Option 2 and deposit your monthly installments of $4,675 into an account with the same terms: APR of 4% compounded monthly. Find the account balance after 240 monthly deposits. Option 2: $ _____________ c. How much do you gain by taking the money in a lump sum (Option 1)? Gain by Choosing Option 1: $ _____________

What amount of money would you need to receive for sure to be indifferent between that amount of money and a gamble that pays either $0 or $100,000 each with a 50% chance? What does your answer imply about whether you are risk averse, risk neutral, or risk seeking (i.e., preferring a risk over its EV)?   What amount would have made you indifferent if I asked you this question when you were 25 years old? Reflect on whether your risk aversion has changed over time. Consider why it has changed or why it has not changed (e.g., due to your financial situation, your maturity, both, neither).