contestada

If the rate of interest is 2% today, then you should be indifferent about receiving $500 today or ______. A. $500 in one year B. $502 in one year C. $510 in one year D. None of the above

Respuesta :

Answer:

C. $510 in one year

Explanation:

Present Value of of a sum receivable after n years compounded at r% rate of interest is given by

PV = [tex]\frac{FV}{(1\ +\ R)^{n} }[/tex]

where PV=  Present Value as on today

          FV = Future Value of amount receivable

          R=  Rate of interest per annum

          n= Time period

Hence, PV of $510 receivable one year hence would be

= [tex]\frac{510}{(1\ +\ .02)^{1} }[/tex]

= $500 today