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Time Value of Money: Present Value of Annuities & Immediate Payments

Question 1
Multiple Choice

A financial agreement pays €1,500 per month for 6 years, with the first payment made immediately. Assuming a 6.5% annual discount rate, compounded monthly, the present value of the contract is closest to:

Explanation

This is a present value of an annuity due, because the first payment is made immediately.


BA II Plus Calculator Steps:

  1. Press 2nd → PMT to set calculator to Begin Mode (annuity due):

    • 2nd → BGN → 2nd → SET → (should show BGN in screen corner) → 2nd → QUIT

  2. Press 2nd → FV to clear time value entries.

  3. Input:

    • N = 72 (6 years × 12 months)

    • I/Y = 6.5 ÷ 12 = 0.5417

    • PMT = -1500

    • FV = 0

  4. Press CPT → PV

    • PV = €101,157

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