Using another classes values from its getter method

I've spent a while trying different things to try to get this to homework assignment to work correctly but I can't figure it out and it's the very last part which I presume is staring me in the face. When I enter a first name and last name and press Add account and then confirm it should add an account to an arraylist and then when I press No. of Accounts It should show me how many accounts there are in total, however it keeps showing 0.

BasicAccountList

import java.util.*;


public class BasicAccountList
{
    private ArrayList < BasicAccount> accounts;

    /**
     * Create a BasicAccount. 
     */
    public BasicAccountList()
    {
        accounts = new ArrayList < BasicAccount>();
    }

    /**
     * Add an account to this account list.
     * @param account the accountobject to be added
     */
    public void addAccount(BasicAccount account)
    {
        accounts.add(account);
    }

    /**
     * Return the number of accounts currently held.
     * 
     * @return the number of accounts
     */
    public int getNumberOfAccounts()
    {
        return accounts.size();
    }

}

BasicAccount

public class BasicAccount
{
    private Name name;
    private String accountNumber;

    /**
     * Constructor for objects of class Account.
     * The number of pointsHeld should should be set to
     * the supplied value.
     * 
     * @param fName The Account Holder's first name 
     * @param lName The Account Holder's last name
     * @param acctNumber The account number
     */
    public BasicAccount(String fName, String lName, String acctNumber)
    {

        name = new Name (fName, lName);
        accountNumber = acctNumber; 
    }

    // accessors

    /**
     * Get the Account Holder's first name
     * 
     * @return the Account Holder's first name
     */
    public String getFirstName()
    {
        return name.getFirst();
    }

    /**
     * Get the Account Holder's last name
     * 
     * @return the Account Holder's last name
     */
    public String getLastName()
    {
        return name.getLast();
    }

    /**
     * Get the Account Holder's account Number
     * 
     * @return the Account Holder's account number
     */
    public String getAccountNumber()
    {
        return accountNumber;
    }


    public void printAccountDetails()
    {
        System.out.println( toString());
    }     

    /**
     * Return details of an account as a formated string
     * 
     * @return the account details of a particular account
     */

    public String toString()    
    {
        String output = accountNumber + " ";
        output = output + name.toString() + "\n";      
        return output;
    }

    // mutators         
    /**
     * Change the first name
     * 
     * @param fName the new first name
     * 
     */
    public void setFirstName(String fName)
    {
        name.setFirst (fName);
    }

    /**
     * Change the last name
     * 
     * @param lName the new last name
     * 
     */
    public void setLastName(String lName)
    {
        name.setLast(lName);
    }


} // end Account class

Relevant code in the GUI class

/**
 * Write a description of class HW4GUI here.
 * 
 * @author (your name) 
 * @version (a version number or a date)
 */

import javax.swing.*; 
import java.awt.*; 
import java.awt.event.*;

public class HW4GUI extends JFrame implements ActionListener         
{
    private BasicAccountList accounts; 
    private JPanel buttonPanel; 
    private JButton jbtAdd;
    private JButton jbtNumber;
    private JButton jbtQuit;
    private JLabel jlbAcctNo;
    private  JLabel jlbFName;
    private JLabel jlbLName;
    private JTextField jtfAcctNo;
    private  JTextField jtfFName;
    private  JTextField jtfLName;
    private int nextAcctNo;
    private JPanel textPanel;

    public HW4GUI ()
    {
        makeFrame();
        showFrame();
        nextAcctNo = 1001;


    }
    public void actionPerformed(ActionEvent ae) 
    {

        BasicAccountList accountlist = new BasicAccountList ();
        String item = ae.getActionCommand();
        String firstNameText = jtfFName.getText();
        String lastNameText = jtfLName.getText();
        String finalAccountNumber = jtfAcctNo.getText();

        if(item.equals("No. of Accounts"))
        {
            jbtAdd.setEnabled(false);
            jbtNumber.setText ("Clear");
            jlbAcctNo.setText("No. of accounts:");


            //accounts.getNumberOfAccounts();

            BasicAccount newaccount = new BasicAccount(firstNameText, lastNameText, finalAccountNumber);

            String accountTotal = Integer.toString (accountlist.getNumberOfAccounts());

            jtfAcctNo.setText (accountTotal);


        }


    }