Chapter 1 – Time Value of Money

Time Value of Money

Discounting

Cash flow which is expected to occur in the future, is converted to its present value

Compounding

Cash flow today is converted into its expected future value

Present Value

The present value can be calculated by using the formula

PV = FV/ (1 + r )^n       

Future Value

The future value can be calculated by using the formula

FV = PV * (1 + r )^n

Annuity

  1. Ordinary Annuity

– Cash flow at end of the period

Ordinary Annuity

  1. Annuity Due

– Cash flow at beginning of the period

Annuity Due

Net Present Value

    NPV = Present value of cash inflow – Present value of cash out flow

    NPV>0 — Accept

    NPV<0 — Reject

    NPV=0 — Neutral

Opportunity Cost

– Benchmark for making investment decision

Effective Interest Rate

Effective Interest Rate = ( 1 + r /n )^n – 1

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