what does present value take

what does present value take

2 months ago 11
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Present value (PV) takes into account three main factors:

  • The expected future value of the money or cash flows to be received.
  • The interest rate or discount rate, which represents the rate of return that could be earned if the money were invested today.
  • The number of periods (time) until the future cash flow is received.

PV is calculated by discounting the future value back to the present using the formula:

PV=FV(1+r)nPV=\frac{FV}{(1+r)^n}PV=(1+r)nFV​

where FVFVFV is the future value, rrr is the discount rate (expressed as a decimal), and nnn is the number of periods

. This reflects the time value of money concept, which holds that a sum of money today is worth more than the same sum in the future because it can be invested to earn a return. The discount rate also accounts for risks such as inflation, default risk, and opportunity cost of capital

. In summary, present value takes the future amount, discounts it by the expected rate of return over the relevant time period, to determine what that future sum is worth in today's terms

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