Ridgeback Industries has negotiated a settlement agreement requiring a defendant to pay $875,000 in exactly 8.5 years for environmental remediation damages. The company's finance team wants to determine the present value of this future payment to properly record the liability on the balance sheet today. The appropriate discount rate reflecting Ridgeback's cost of capital and the time risk is 7.25% annually, compounded semi-annually to match the settlement's payment structure.
Correct Answers
present_value
$477,651.13
Step-by-Step Solution
Present Value Formula: PV = FV ÷ (1 + r)^n Future Value (FV): $875,000.00 Rate per period (r): 3.6250% Periods (n): 17 PV Factor = 1 ÷ (1 + 3.6250%)^17 = 0.545887 PV = $875,000.00 × 0.545887 PV = $477,651.13