Finding Present value (PV) using PV Tables

Discount rate = 12% per annum
Monthly payment = 500
Period = 3 years

How to find Present value (PV) using PV tables when above figures are given. I am asking this question because the PV factors provided in PV tables are for different periods when the payment is done yearly and not monthly

Do you have a financial calculator?

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  1. Is the interest compouned monthly or annually?
  2. Do the payments occur at the beginning of the month or the end of the month?
  1. Interest is compounded monthly

  2. Payments occur at the end of the month. Please let me know how calculation would be different , if it is beginning of the month

I have financial calculator but want to know how manual calculation can be done by referring to PV Table.

I would look for a 1% table and 36 payments.

From first principles:

PV = 500 * [1 - 1.01^(-36) ]/ 0.01

= 500 * 30.107505
= 15,053.752

On the BAII

P/Y 12 C/Y 12
END
N 36 I 12 PMT 500 CPT PV (you should get 15053.75 or thereabouts)

Final note: CFAI does not let you bring PV tables into the exam, but they let you bring in an approved calculator!!!

Thank you so much. This helps