FDNBUSM 04 · Annuity Due and Payment Timing

1concept
8calculations
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.
Annuity Due.pdf; Slater_Ch20_526-561 Textbook.pdf; Time Value of Money - Annuities.ppsx
02Twelve PHP 4,200 deposits occur at quarters 0–11 at 2% quarterly. Find value immediately after deposit 12, at quarter 11.
Annuity Due.pdf; Slater_Ch20_526-561 Textbook.pdf; Time Value of Money - Annuities.ppsx
03Complete the due present value immediately before the first installment.
Ten-installment purchase
ItemValue
Installment (PHP)7000
Number of monthly installments10
Effective monthly rate1%
First installmentImmediately
Full present value (PHP)?
Annuity Due.pdf; Slater_Ch20_526-561 Textbook.pdf; Time Value of Money - Annuities.ppsx
04A financed amount is PHP 90,000 immediately before installment 1. It uses 18 equal monthly due installments at 1% monthly. Find each installment.
Annuity Due.pdf; Slater_Ch20_526-561 Textbook.pdf; Time Value of Money - Annuities.ppsx
05A PHP 90,000 financed amount immediately before installment 1 uses 18 equal monthly due installments at 1% monthly, first paid now. Find balance just after installment 6 (month 5), keeping the theoretical R unrounded.
Annuity Due.pdf; Slater_Ch20_526-561 Textbook.pdf; Time Value of Money - Annuities.ppsx
06A debt immediately after a due installment is PHP 42,500. That installment was PHP 3,700. Find balance immediately before the same installment.
Annuity Due.pdf; Slater_Ch20_526-561 Textbook.pdf; Time Value of Money - Annuities.ppsx
07A fund targets PHP 180,000 at month 18. Eighteen equal beginning-of-month deposits occur at months 0–17 at 0.5% monthly. Find each deposit.
Annuity Due.pdf; Slater_Ch20_526-561 Textbook.pdf; Time Value of Money - Annuities.ppsx
08Equal monthly installments start today, followed by installments one, two and three months later. Identify the timing classification.
Annuity Due.pdf; Slater_Ch20_526-561 Textbook.pdf; Time Value of Money - Annuities.ppsx
09Twelve monthly PHP 8,500 installments, the first immediately, have cash price PHP 95,000. Solve for the effective monthly rate and enter percent.
Annuity Due.pdf; Slater_Ch20_526-561 Textbook.pdf