Answer:
The present value after 2 years is $98
Explanation:
Given
[tex]a = 200[/tex]
[tex]r = 30\%[/tex]
[tex]t = 2[/tex]
Required
Determine the new value
This is calculated using:
[tex]y = ab^t[/tex]
Where b =
[tex]b = 1 - r[/tex]
This gives:
[tex]b = 1-30\%[/tex]
[tex]b = 1-0.30[/tex]
[tex]b = 0.70[/tex]
So:
[tex]y = ab^t[/tex]
[tex]y =200 * 0.70 ^2[/tex]
[tex]y =98[/tex]
The present value after 2 years is $98