Nick has lost faith in the banks, and has decided to diversify his portfolio by keeping some money under his mattress. He decides to put $2500 under his mattress and $3000 in a GIC with a 12% annual interest rate (compounded continuously). If there is a 8% annual inflation rate, when will the real value of Nick's investments be at a minimum? NOTE: An inflation rate of 8% means that the real value of money is decreasing at this rate (compounded continuously). You should also consider what inflation does to the interest rate. If I (t) is the total real value of the investments after t years: I(t) = If t* is the number of years until the value of the assets is a minimum: NOTE: Use at least one decimal in your answer.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.2: Applications Of Exponential Functions
Problem 27PS
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Nick has lost faith in the banks, and has decided to diversify his portfolio by keeping some money under his
mattress. He decides to put $2500 under his mattress and $3000 in a GIC with a 12% annual interest rate
(compounded continuously). If there is a 8% annual inflation rate, when will the real value of Nick's investments be
at a minimum?
NOTE: An inflation rate of 8% means that the real value of money is decreasing at this rate (compounded
continuously). You should also consider what inflation does to the interest rate.
If I (t) is the total real value of the investments after t years:
I(t) =
If t* is the number of years until the value of the assets is a minimum:
-0
NOTE: Use at least one decimal in your answer.
t* =
Transcribed Image Text:Nick has lost faith in the banks, and has decided to diversify his portfolio by keeping some money under his mattress. He decides to put $2500 under his mattress and $3000 in a GIC with a 12% annual interest rate (compounded continuously). If there is a 8% annual inflation rate, when will the real value of Nick's investments be at a minimum? NOTE: An inflation rate of 8% means that the real value of money is decreasing at this rate (compounded continuously). You should also consider what inflation does to the interest rate. If I (t) is the total real value of the investments after t years: I(t) = If t* is the number of years until the value of the assets is a minimum: -0 NOTE: Use at least one decimal in your answer. t* =
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