Design a Java application using arrays to manage personal financial records which include expenditures and incomes.

Each expenditure or income includes the following data:

• Date
• Amount
• Purpose
• Payee/payer

The program must have the following operations:

• Add or delete records (expenditure/income)
• Modify records
• List records sorted by Date or Amount
• List total expenditures, incomes and balance
• Search for a record by Date, Amount, Payer/Payee, or Purpose

The program must use object-oriented design and include at least two classes: Record and RecordManager: initial data can be generated by using a random number generator and there's no need to save them after the program execution ends.