Suppose you win a small lottery and have the choice of two ways to be paid: You can accept the money in a lump sum or in a series of payments over time. If you pick the lump sum, you get $2,750 today. If you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today.

1. At an interest rate of 9% per year, the winner would be better off accepting the (lump sum or payments over time) since it has the greater present value.

2. At an interest rate of 11% per year, the winner would be better off accepting (lump sum or payments over time , since it has the greater present value.

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Elin HesselLv2

4 Jun 2018

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Suppose you win a small lottery and have the choice of two ways to be paid: You can accept the money in a lump sum or in a series of payments over time. If you pick the lump sum, you get $2,800 today. If you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today.

At an interest rate of 6% per year, the winner would be better off accepting the 1)________ (LUMP SUM or PAYMENTS OVERTIME), since it has the greater present value.

At an interest rate of 9% per year, the winner would be better off accepting 2) ________ (LUMP SUM or PAYMENTS OVERTIME), since it has the greater present value.

3) Years after you win the lottery, a friend in another country calls to ask your advice. By wild coincidence, she has just won another lottery with the same payout schemes. She must make a quick decision about whether to collect her money under the lump sum or the payments over time. What is the best advice to give your friend?

A) The lump sum is always better.

B) The payments over time are always better.

C) It will depend on the interest rate; advise her to get a calculator.

D) None of these answers is good advice.

aquamarinepug18

Years after you win the lottery, a friend in another country calls to ask your advice. By wild coincidence, she has just won another lottery with the same payout schemes. She must make a quick decision about whether to collect her money under the lump sum or the payments over time. What is the best advice to give your friend?

1. The lump sum is always better.

2. The payments over time are always better.

3. It will depend on the interest rate;

4. advise her to get a calculator.

5. None of these answers is good advice.

erintortoise711

I am having problems with this problem from my Econcoursework. Iunderstand how to do parts 1 and 2, but amhaving trouble with parts3 and 4. For part 3, how do I dothe calculation for an infiniteperiod? As the time becomeslonger the present value goes to zero,so do i assume a period, oris there an actual method for infiniteperiods? For part 4,do I simply do the sum for the future value andplug it into thePresent value equation? Not really looking for thesolutionhere, but I need some help getting the third and fourthpartssolved.

Congratulations! You just won the lottery! You can elect toreceiveyour prize in one of four
payment streams:
(i) $1,000,000 now
(ii) $1,500,000 at the end of five years
(iii) $60,000 per year in perpetuity (for ever), with paymentsmadeat the end of each year (so your
first payment comes one year from today)
(iv) $150,000 per year for the next ten years, with payments madeatthe end of each year (so your
first payment comes one year from today)

Suppose the annual interest rate is 5% with certainty andinperpetuity. Calculate the present value of
each of the four payment options (i.e., in todayâs dollars).Rankfor four options from most to least
valuable. You can use Excel or a calculator to solve this, butyoumust show the formulas you use.