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Daily Challenge — September 10, 2026

time value of money · mixed

Pinnacle Industrial Group invests $875,000 in a specialized equipment-manufacturing fund that compounds semi-annually at an annual rate of 7.4%. The company plans to liquidate this investment after 9.5 years to fund a facility expansion. Calculate the future value of this lump-sum investment, accounting for the fractional compounding period.

Correct Answers

future_value

$1,745,036.13

Step-by-Step Solution

Future Value Formula: FV = PV × (1 + r)^n
  Present Value (PV): $875,000.00
  Rate per period (r): 3.7000%
  Periods (n):         19

  FV = $875,000.00 × (1 + 3.7000%)^19
  FV = $875,000.00 × 1.994327
  FV = $1,745,036.13