In: Finance
Decision #1: Which set of Cash Flows is worth more now?
Assume that your grandmother wants to give you generous gift. She wants you to choose which one of the following sets of cash flows you would like to receive:
Option A: Receive a one-time gift of $ 10,000 today.
Option B: Receive a $1500 gift each year for the next 10 years. The first $1500 would be
received 1 year from today.
Option C: Receive a one-time gift of $18,000 10 years from today.
Compute the Present Value of each of these options if you expect the interest rate to be 3% annually for the next 10 years. Which of these options does financial theory suggest you should choose?
Option A would be worth $__________ today.
Option B would be worth $__________ today.
Option C would be worth $__________ today.
Financial theory supports choosing Option _______
Compute the Present Value of each of these options if you expect the interest rate to be 6% annually for the next 10 years. Which of these options does financial theory suggest you should choose?
Option A would be worth $__________ today.
Option B would be worth $__________ today.
Option C would be worth $__________ today.
Financial theory supports choosing Option _______
Compute the Present Value of each of these options if you expect to be able to earn 9% annually for the next 10 years. Which of these options does financial theory suggest you should choose?
Option A would be worth $__________ today.
Option B would be worth $__________ today.
Option C would be worth $__________ today.
Financial theory supports choosing Option _______
Decision #2 begins at the top of page 2!
Decision #2: Planning for Retirement
Erich and Mallory are 22, newly married, and ready to embark on the journey of life. They both plan to retire 45 years from today. Because their budget seems tight right now, they had been thinking that they would wait at least 10 years and then start investing $3000 per year to prepare for retirement. Mallory just told Erich, though, that she had heard that they would actually have more money the day they retire if they put $3000 per year away for the next 10 years - and then simply let that money sit for the next 35 years without any additional payments – then they would have MORE when they retired than if they waited 10 years to start investing for retirement and then made yearly payments for 35 years (as they originally planned to do). Please help Erich and Mallory make an informed decision:
Assume that all payments are made at the END a year (or month), and that the rate of return on all yearly investments will be 7.2% annually.
(Please do NOT ROUND when entering “Rates” for any of the questions below)
35 years, but without any additional yearly deposits being made?
How much money will Erich and Mallory have in 45 years if they put away $250
As per rules I am answering the first 4 subparts of the question
Question No | 1 | 2 | 3 |
At 3% | At 6% | At 9% | |
Option A | 10000 | 10000 | 10000 |
Option B | $12,795.30 | $11,040.13 | $9,626.49 |
Option C | $13,393.69 | $10,051.11 | $7,603.39 |
Select | Option C | Option B | Option A |
4 | ||||
How much money will Erich and Mallory have in 45 years if they do nothing for the next 10 years, then put $3000 per year away for the remaining 35 years? | ||||
$433,237.79 |
WORKINGS