Question

In: Math

You just won $900 in the lottery and you decide to invest this money for 10...

You just won $900 in the lottery and you decide to invest this money for 10 years. Three accounts pay as follows:

  • Account A pays 14% interest per year.
  • Account B pays 13.4% interest per year, compounded monthly.
  • Account C pays 13% interest per year, compounded daily.
  1. For each account, determine the value of your investment after 10 years.

    1. Account A: $   
    2. Account B: $   
    3. Account C: $   
  2. If you are trying to earn the most money possible on your investment, which account should you invest your money in? (Select all that apply.)

    • Account A
    • Account B
    • Account C

Solutions

Expert Solution

The given question can be solved by calculating the final amount by compound interest when the amount is compounded yearly monthly and daily.

since investing in scheme A gives the highest amount of money after 10 years, It should be preferred.

Please do upvote if you found the solution helpful. Feel free to ask any doubt regarding this question in the comment section. Thanks!

Related Solutions

Time Value of Money COLLAPSE You have just won the $1,000,000 in the lottery. You have...
Time Value of Money COLLAPSE You have just won the $1,000,000 in the lottery. You have the option of taking a lump sum payout or equal annualized payments over 20 years. Ignoring any tax consequences; how much should you expect from the annualized payments. What target interest rate would make the annualized payments more valuable than the lump sum. In your response, you may want to consider such issues as inflation, investing lump sum in stock market (What have been...
You just won $1,000,000 in the lottery. This lottery will pay you $1 a year for...
You just won $1,000,000 in the lottery. This lottery will pay you $1 a year for a million years. Using a martket discount rate of 5% compound annually, what is the current value of this prize? $20 $67 $24.67 $16.66 $12
Congratulations, you just won the lottery. Now you must decide between two alternatives to receive your...
Congratulations, you just won the lottery. Now you must decide between two alternatives to receive your winnings. The first option is to take the lump sum amount offered today. The second option is to accept a series of equal payments over the next 20 years. Explain how you would set up your calculations that would allow you to select the best alternative .
You just won the lottery and will receive $14,000 at the end of each of the...
You just won the lottery and will receive $14,000 at the end of each of the next 10 years. Your friend offers to give you a flat $100,000 for the 10 years' worth of income flows right now. If you expect a return of 7% on any surefire investment, how much do you think these lottery winnings are worth to you today? (FORMAT: XX,XXX.XX    DO NOT INCLUDE A DOLLAR SIGN)
You have just won the TVM Lottery. You will receive $1 million today plus another 10...
You have just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $670,000 per year. Thus, in one year you receive $1.67 million. In two years, you get $2.34 million, and so on. If the appropriate interest rate is 7.7 percent, what is the value of your winnings today?
You just won the TVM Lottery. You will receive $1 million today plus another 10 annual...
You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $375,000 per year. Thus, in one year, you receive $1.375 million. In two years, you get $1.75 million, and so on. If the appropriate interest rate is 6.5 percent, what is the value of your winnings today?
You have just won the $1,000,000 in the lottery. You have the option of taking a...
You have just won the $1,000,000 in the lottery. You have the option of taking a lump sum payout or equal annualized payments over 20 years. Ignoring any tax consequences; how much should you expect from the annualized payments. What target interest rate would make the annualized payments more valuable than the lump sum. In your response, you may want to consider such issues as inflation, investing lump sum in stock market (What have been the long-term historic returns?) to...
You just won the initial school of finance lottery! You have won $10,000 today, $20,000 five...
You just won the initial school of finance lottery! You have won $10,000 today, $20,000 five years from today, and $50,000 ten years from today. As an alternative, you can receive your winnings as a 15 year annuity with the first payment received ten years from today. If you require a 6% return on your investment, how much annuity pay you each for you to select that option?
Prob Set 1 Lottery question 3 3. You just won $250,000 on a lottery ticket. You...
Prob Set 1 Lottery question 3 3. You just won $250,000 on a lottery ticket. You plan to save the money in a retirement account expected to return 8% per year. If you intend to retire in 20 years, how much are these winnings expected to be worth when you retire?     a) Suppose you win the lottery but are given the following choice: 1) receive $250,000 today in a lump sum or 2) receive annual payments of $20,000 for...
3. Congratulations, you just won the lottery! In one option presented to you, you will be...
3. Congratulations, you just won the lottery! In one option presented to you, you will be paid one million dollars a year for the next 25 years. You can deposit this money in an account that will earn 5% each year. (a) Let M(t) be the amount of money in the account (measured in millions of dollars) at time t (measured in years). Set up a differential equation that describes the rate of change in the amount of money in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT