FDNBUSM 05 · Sinking Funds and Funding Schedules
Conventions
Independent original practice cases. Amounts are Philippine pesos (PHP); enter numeric answers without currency symbols. Use the stated interest and payment timing. j is a nominal annual rate, i an effective payment-period rate, n the number of payments, and t years. Payment and compounding periods coincide unless stated otherwise. The factors are a(i,n) = [1 − (1 + i)^−n]/i and s(i,n) = [(1 + i)^n − 1]/i; at i = 0 both equal n. Keep full calculator precision and round money to 2 decimals only at the end; numeric money tolerance is PHP 0.02. Percentage answers are in percent, not decimal form. Report percentage and fractional-period/year answers to at least four decimal places unless exact; whole payment-count answers remain integers. Ignore taxes, fees and rounding of actual bank installments unless explicitly given. The Week 8 syllabus lists Annuities and Sinking Funds for Quiz 2; an exact calendar date was not verified.
Questions
01A fund targets PHP 420,000 after 20 quarter-end deposits. It earns 8% nominal compounded quarterly. Find required deposit.
02A fund already contains PHP 50,000 today. It targets PHP 300,000 after 16 quarters at 2% quarterly, with equal quarter-end deposits. Find the deposit.
03Complete the closing balance in PHP from these raw schedule facts.
| Item | Value |
|---|---|
| Opening balance (PHP) | 35000 |
| Effective quarterly yield | 1.5% |
| Quarter-end deposit (PHP) | 4200 |
| Closing balance (PHP) | ? |