## Math Problem Statement

A debt of P200,000 whose interest is 15% compounded quarterly is to be paid a series of 12 quarterly payments. The first 6 payments will be P30,000 each while the remaining 6 payments will be equal to liquidate the debt. What will be the annuity for the last 6 payments?

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Annuities

Compound Interest

Present Value

Debt Liquidation

### Formulas

Present Value of Annuity: PV = R * (1 - (1 + i)^-n) / i

Remaining Balance Calculation: Remaining Balance = Debt - PV

Annuity Payment Calculation: R = Remaining Balance / ((1 - (1 + i)^-n) / i)

### Theorems

Compound Interest Formula

Present Value of Annuity Theorem

### Suitable Grade Level

College/University Level

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