# CS173: Intro to Computer Science - Introduction to Iteration (3 Points)

Developed by Professor Tralie and Professor Mongan.# Exercise Goals

The goals of this exercise are:- To use iteration to compute a discrete value

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### Driver.java

public class Driver {
public static void main(String[] args) {
// balance = principal * totalInterestRate
// totalInterestRate = totalInterestRate * compoundFactor, computed n*t times
// ... where compoundFactor = (1 + (rate / n))
// ... where t = periods (years), n = compoundTimesPerPeriod (times per year),
// ... and rate = annual interest rate (2% == 0.02)
int principal = 1; // 1 dollar invested
double interest = 1; // at 100% interest
int years = 1; // for 1 year
/* TODO: Change this to compound daily */
int compoundTimesPerYear = 12; // compounded monthly
double compoundFactor = 1 + (interest / compoundTimesPerYear);
double totalInterestRate = compoundFactor;
// iterate one fewer time because we initialized the variable above, which counts as one multiplication
for(/* TODO: Fill this in */) {
totalInterestRate = totalInterestRate * compoundFactor;
}
double finalBalance = principal * totalInterestRate;
System.out.println(finalBalance);
System.out.println(totalInterestRate);
}
}

Driver.main(null);

### Output

## Fun With Limits

As your `compoundTimesPerYear`

variable increases, your total balance approaches a certain famous constant: what is it?