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Time Value of Money: Mortgage & Loan Payment Calculations

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Question 1
Multiple Choice
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Timberline Properties is financing the purchase of a commercial building by borrowing 80% of the $4,500,000 purchase price through a fully amortizing, fixed-rate 20-year mortgage loan. The annual interest rate is 5.4%, and payments are made monthly. The monthly mortgage payment is closest to:

Explanation

Step 1: Calculate the present value of the loan:

Loan = 80% × $4,500,000 = $3,600,000

Step 2: Identify calculator inputs:

  • N = 20 years × 12 months = 240

  • I/Y = 5.4% annual ÷ 12 = 0.45% per month

  • PV = 3,600,000

  • FV = 0 (fully amortized)

  • PMT = ?


BA II Plus Steps:

  1. Press 2nd → FV to clear time value memory

  2. Input:

    • N = 240

    • I/Y = 0.45

    • PV = 3600000

    • FV = 0

    • CPT → PMT

  3. Output:
    PMT = -24,915.08

(The result is negative because it represents a cash outflow, i.e., a monthly payment.)

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