Pasting in the Dollars Calculation

Here is the part from the previous program (slightly modified) that calculates the number of dollars after 40 years:

year    =  1 ;     
dollars = initialAmount;              // initialize the loop correctly
while (  year <= 40 )
{     
  dollars = dollars + dollars*rate  ; // add another year's interest     
  dollars = dollars + 1000 ;          // add in this year's contribution
  year    =  year + 1 ;
}

Here is the skeleton program again:

class  MillionDollarInterestRate
{

  public static void main( String[] args ) 
  {
    double initialAmount = 1000.00 ;
    double dollars = 0.0;
    double rate = -0.001; // This is about to change
 
    while ( dollars < 1000000 )
    {
       // change to the next rate
       rate = rate + 0.001;

       // compute the dollars after 40 years at the current rate
       


    }

    System.out.println("After 40 years at " + rate*100 
      + " percent interest you will have " + dollars + " dollars" );
  }

}

To complete the program you will have to nest one loop inside the other.