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Properties of an Exponential Growth Model
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I. The doubling time for an investment growing according to $$V(t) = V_0 e^{r*t}$$ is given by $$t = \frac{\ln(2)}{r}$$.

II. If $$r = 0.07$$, the doubling time is approximately 9.9 years.

III. The derivative of $$V(t)$$ is $$r*V_0 e^{r*t}$$, showing that the growth rate is proportional to the current account balance.

Which of the above statements are true?

TITLE: Investment Account Data: #000000

Parameter Value
Initial Value $$V_0$$
Interest Rate 7%
Doubling Time (to be computed)
A

I and II only

B

II and III only

C

I, II, and III

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