Archive · With Solution

Daily Challenge — August 21, 2026

time value of money · mixed

Horizon Capital Corp. receives a one-time strategic investment of $875,000 from a venture partner. The funds are placed into a specialized growth portfolio that compounds semi-annually at a nominal annual rate of 7.85%. The investment horizon is 9.5 years, requiring careful handling of the fractional period.

Correct Answers

future_value

$1,818,396.90

Step-by-Step Solution

Future Value Formula: FV = PV × (1 + r)^n
  Present Value (PV): $875,000.00
  Rate per period (r): 3.9250%
  Periods (n):         19

  FV = $875,000.00 × (1 + 3.9250%)^19
  FV = $875,000.00 × 2.078168
  FV = $1,818,396.90