4. Liam borrows $10,000 at an effective periodic rate of i. The loan will be paid back with 10 payments at the end of each period. Each payment will consist of $1,000 plus the interest owed for that period. This means the principal in each payment is $1,000. For example, the first payment will be $1,000+$10,000i. Show that the present value of these payments at the given interest ratei is $10,000. Hint: Try to figure out what the pattern the payments follow. Follow up hint: You may recognize one of the pieces as a decreasing annuity