Question

Lottery A pays $1,000 today and Lottery B pays $1,750 at the end of five years...

Lottery A pays $1,000 today and Lottery B pays $1,750 at the end of five years from now. If the discount rate is 5%, I should choose

Lottery A, because it is available to me now.

Lottery A, because its future value is $1,276.

Lottery B, because its present value is $1,371 which is more than that of Lottery A.

Lottery B, because it pays $1,750 which is more than $1,000 from Lottery A.

Either option gives the same value over time.

Homework Answers

Answer #1

The question is solved by comparing the presewnt values of both the options.

The present value of lottery B is calculated first to solve the question.

Information provided:

Future value= $1,750

Time= 5 years

Yield to maturity= 5%

Enter the below in a financial calculator to compute the present value:

FV= 1,750

I/Y= 5

N= 5

Press the CPT key and PV to compute the present value.

The value obtained is 1,371.17.

Therefore, the present value of lottery B is $1,371.17.

Hence, I should choose lottery B since its present value is higher than lottery A.

The answer is option c.

Know the answer?
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
Similar Questions
subject related to future value and present value Scenario: You are offered $25,000 now or $30,000...
subject related to future value and present value Scenario: You are offered $25,000 now or $30,000 five years from now with a simple annual rate of 4.5% (0.045). Which option would you choose ($25,000 now or $30,000 in five years) and why? a - choose $30,000 in five years because it is worth more than $25,000 b - choose $25,000 now because it will grow to a larger sum in five years c - choose $30,000 in five years because...
Option​ #1: $15,000,00 five years from now Option​ #2: $2,200,000 at the end of each year...
Option​ #1: $15,000,00 five years from now Option​ #2: $2,200,000 at the end of each year for the next five years Option​ #3: $11,500,000 3 years from now ​Congratulations! You've won a state​ lotto! The state lottery offers you the following​ (after-tax) payout​ options: Requirement Assuming that you can earn 8​% on your​ funds, which option would you​ prefer? ​(Round your answers to the nearest whole​ dollar.) Calculate the present value for each payout.
You are comparing two investment options. Option A requires $10,000 on day 0, and pays five...
You are comparing two investment options. Option A requires $10,000 on day 0, and pays five annual payments starting with $5,000 the first year followed by four annual payments of $2,500 each. Option B also requires $10,000 on day 0, and pays five annual payments of $3,000 each. Using the incremental IRR approach, can you conclude which one of the following statements is correct given these two investment options? Given a positive rate of return, Option A has a higher...
The first quarterly payment of $500 in a five-year annuity will be paid 2.5 years from...
The first quarterly payment of $500 in a five-year annuity will be paid 2.5 years from now. Based on a discount rate of 6% compounded monthly, what is the present value of the payments today?                                                                                                                 Interim calculations should be to six decimals; final answer to the nearest cent. 2. A life insurance company pays investors 5% compounded annually on its five-year GICs. For you to be indifferent as to which compounding option you choose, what would the nominal rates have...
The price of a bond is equal to the sum of the present values of its...
The price of a bond is equal to the sum of the present values of its future payments. Suppose a certain bond pays $50 one year from today and $1,050 two years from today. What is the price of the bond if the interest rate is 5 percent? the answer is: $1,000 (show work please) You have a choice among three options. Option 1: receive $900 immediately. Option 2: receive $1,200 one year from now. Option 3: receive $2,000 five...
Let’s say a firm will receive $500 today, $800 one year from now, $1,000 two years...
Let’s say a firm will receive $500 today, $800 one year from now, $1,000 two years from now, $1,200 three years from now, and $1,500 four years. Assuming the interest/discount rate that applies here is 14.8%, what is the present value of these cash inflows?
John is going to receive a $25,000 gift five years from now. Carol is going to...
John is going to receive a $25,000 gift five years from now. Carol is going to receive a gift of the same amount seven years from now. Both use the same discount rate of 5%. Pick the correct statement related to their gifts from below. The present values of John's and Carol's gifts are equal. In future dollars, Carol's gift is worth more than John's gift. In today's dollars, John's gift is worth more than Carol's. Twenty years from now,...
You bought a ticket in the first ever Lottery ticket . . . and you won!...
You bought a ticket in the first ever Lottery ticket . . . and you won! You now need to decide which payout option to take: a) an immediate lump sum of $160,000; b) $1,000 per month to be received at the end of this month and every month thereafter for 50 years in total; or, c) $10,000 to be received one year from now and every year thereafter forever. Assuming an annual discount rate of 7.5%, which payout option...
A perpetuity with an annual payment of $1,000 (payments start N years from today) has a...
A perpetuity with an annual payment of $1,000 (payments start N years from today) has a present value (today) of $6,830. A second perpetuity, which will begin five years after the first perpetuity begins, has a present value of $8,482. The annual interest rate is 10 percent. Determine the value of each payment of the second perpetuity?
Consider the following scenarios: i - an investor deposited $1,000 ten years ago in an investment...
Consider the following scenarios: i - an investor deposited $1,000 ten years ago in an investment account and earned a compound annual interest of 5% yielding a balance of $1,628.89 today. ii - an investor will deposit $1,000 five years from now in an investment account which is expected to earn a compound interest of 5% and yield a balance of $1,628.89 over a ten year period. The money will be used for a gift to the investor's child that...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT