Question

Project x has cash flows of $8000, $7500 and $7000 for years 1 to 4, respectively. Project y has cash flows of 7000,7500, 8000, and 8500 for years 1 to 4 respectivel. which one of the following statements is true concerning these two project given a positive discount rate?

a. Both projects have the same future value at the end of Year 4.
b. Both projects have the same value at Time 0.
c. Both projects are ordinary annuities.
d. Project Y has a higher present value than Project X.
e. Project X has both a higher present and a higher future value than Project Y.

Answer 1

e. Project X has both a higher present and a higher future value than Project Y.

Step-by-step explanation:

year project X project Y

1 8,500 7,000

2 8,000 7,500

3 7,500 8,000

4 7,000 8,500

One of the basic principles in economics and finance is the time value of money. One dollar today is worth more than one dollar tomorrow. In this case, the more money you receive during the first years, the higher the value of the money. E.g. if you receive $1,000 today, you can invest it and earn interests and it will be worth more than $1,000 that you receive in a couple of years.