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Kingdom Cones, a small but successful ice cream stand in your community, plans to add new frozen yogurt...

33. Kingdom Cones, a small but successful ice cream stand in your community, plans to add new frozen yogurt machines in 2 years. If the cost for the new yogurt machines is $32,000, calculate how much the owner must deposit into a sinking fund each quarter, assuming the funds will earn 10% and will be compounded quarterly.
According to the Sinking Fund Table, the factor at 2.5% for 8 compounding periods is 0.11447.
$28,336.96
$11,447.00
$4,000.00
$3,663.04

Answer

Answer: To find the quarterly deposit, use the formula for a sinking fund: Deposit = Future Value / Sinking Fund Factor.

Given:

  • Future Value = $32,000
  • Sinking Fund Factor = 0.11447

Calculation:

Deposit = $32,000 / 0.11447 = $3,663.04

Therefore, the owner must deposit $3,663.04 each quarter.

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