Question

Suppose the interest rate is 4.3 %. a. Having $ 400 today is equivalent to having what amount in one​ year? b. Having $ 400 in one year is equivalent to having what amount​ today? c. Which would you​ prefer, $ 400 today or $ 400 in one​ year? Does your answer depend on when you need the​ money? Why or why​ not? a. Having $ 400 today is equivalent to having what amount in one​ year?

Answer 1

Answer: a. $417.2. b. $383.51. c. $400 today.

Step-by-step explanation:

a. Present value = $400

Interest rate = 4.3%

Future value= PV(1+r)^n

= 400(1+0.043)^1

= 400(1.043)

= $417.2

b. FV = $400

PV = Unknown

Interest = 4.3%

Future value= PV(1+r)^n

400 = PV(1+0.043)^1

400 = PV(1.043)

PV = 400/1.043

PV = $383.51

c. I'll prefer $400 today.

My answer does not depend on me needing money presently, I can actually invest the $400 today and get more value when it's a year. I'll have made more than $400.