Compound Interest

The questions below are due on Thursday June 17, 2021; 11:00:00 AM.
 
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Description

According to the story, when asked to name the greatest invention in human history, Albert Einstein simply replied: "compound interest."

Imagine putting your money in a bank account with a fixed interest rate (compounded annually) and letting it sit, without adding any more money yourself. How long will you have to wait until your money has doubled? In this question, we'll write a program to find out!

The first line in your program should define a variable called interest_rate:

interest_rate = .05

interest_rate will be a floating point number between 0 and 1 representing the interest rate in question. When run, it should print a single integer representing the minimum number of years you'll have to wait until your money has (at least) doubled.

You can use the formula for the amount after n years of annually compounded interest:

P*(1 + i)^n
where P is the principal and i is the interest rate.

For example, say you had a principal of 100 and an interest rate of .05. The code should print 15 since 100*1.05**15 is 207 while 100*1.05**14 is only 198.

If the provided interest rate is 0, your code should print NEVER.

Notes

  • Our Python checker is particular about variable names, and so it is important that you call the variable mentioned above interest_rate, rather than giving it a different name. Variables other than that one can be called whetever you like.

Testing

Make sure to write and test your code by hand before using Python. Draw environment diagrams for a few different test cases. Then, only once you're convinced it will work, run your code with Python on your own machine as a test.

Submission

When you are ready (once you have simulated by hand and tested on your own machine and are convinced that your program will do the right thing), upload your file below for testing:

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