FDNBUSM 04 · Annuity Due and Payment Timing
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
01PHP 4,200 is deposited at each quarter beginning for 3 years at 8% nominal compounded quarterly. Find FV at year 3, one quarter after the last of 12 deposits.
02Twelve PHP 4,200 deposits occur at quarters 0–11 at 2% quarterly. Find value immediately after deposit 12, at quarter 11.
03Complete the due present value immediately before the first installment.
| Item | Value |
|---|---|
| Installment (PHP) | 7000 |
| Number of monthly installments | 10 |
| Effective monthly rate | 1% |
| First installment | Immediately |
| Full present value (PHP) | ? |