FDNBUSM 05 · Sinking Funds and Funding Schedules

0concepts
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

01A fund targets PHP 420,000 after 20 quarter-end deposits. It earns 8% nominal compounded quarterly. Find required deposit.
Slater_Ch20_526-561 Textbook.pdf; Slater_Annuities and Sinking Funds.pptx; FDNBUSM_Syllabus-1st-term-AY-2026-2027.pdf
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.
Slater_Ch20_526-561 Textbook.pdf; Slater_Annuities and Sinking Funds.pptx; FDNBUSM_Syllabus-1st-term-AY-2026-2027.pdf
03Complete the closing balance in PHP from these raw schedule facts.
One ordinary-fund quarter
ItemValue
Opening balance (PHP)35000
Effective quarterly yield1.5%
Quarter-end deposit (PHP)4200
Closing balance (PHP)?
Slater_Ch20_526-561 Textbook.pdf; Slater_Annuities and Sinking Funds.pptx; FDNBUSM_Syllabus-1st-term-AY-2026-2027.pdf
04A fund makes eight year-end deposits of PHP 12,000 at 5% annually, starting from zero. Find total fund interest immediately after deposit 8.
Slater_Ch20_526-561 Textbook.pdf; Slater_Annuities and Sinking Funds.pptx; FDNBUSM_Syllabus-1st-term-AY-2026-2027.pdf
05A PHP 800,000 principal is due in six years. Debt charges 7% annual interest-only; a separate reserve earns 5% with six year-end deposits. Find annual combined cash requirement.
Slater_Ch20_526-561 Textbook.pdf; Slater_Annuities and Sinking Funds.pptx; FDNBUSM_Syllabus-1st-term-AY-2026-2027.pdf
06At quarter 10 immediately after a deposit, actual fund is PHP 260,000. Target is PHP 700,000 at quarter 24. Future yield is 2% quarterly. Find revised deposit for quarters 11–24.
Slater_Ch20_526-561 Textbook.pdf; Slater_Annuities and Sinking Funds.pptx; FDNBUSM_Syllabus-1st-term-AY-2026-2027.pdf
07A PHP 6,000 deposit scheduled at month 5 is missed. Yield is 1% monthly. Find the replacement amount at month 8 that restores the same future funding path.
Slater_Ch20_526-561 Textbook.pdf; Slater_Annuities and Sinking Funds.pptx; FDNBUSM_Syllabus-1st-term-AY-2026-2027.pdf
08Actual balance just after the penultimate deposit is PHP 81,000. Final annual yield is 4%. Target one year later is PHP 110,000. Find adjusted final end-of-year deposit.
Slater_Ch20_526-561 Textbook.pdf; Slater_Annuities and Sinking Funds.pptx; FDNBUSM_Syllabus-1st-term-AY-2026-2027.pdf