Archive · With Solution

Daily Challenge — October 16, 2026

time value of money · mixed

Keystone Industrial Corp. invests $425,000 of retained earnings into a high-yield corporate bond fund offering 7.35% annual interest compounded quarterly. The company plans to hold this investment for 8 years to fund a major capital expansion project.

Correct Answers

future_value

$761,090.44

interest_earned

$336,090.44

Step-by-Step Solution

Compound Interest Formula: FV = P × (1 + r/m)^(m×t)
  Principal (P):         $425,000.00
  Annual Rate:           7.35%
  Compounding:           quarterly (m = 4)
  Total periods (n):     32
  Rate per period (r/m): 1.8375%

  FV = $425,000.00 × (1 + 1.8375%)^32
  FV = $425,000.00 × 1.790801
  FV = $761,090.44

  Interest Earned = FV − Principal = $761,090.44 − $425,000.00 = $336,090.44