How much should you deposit today in a deposit that pays monthly compounded interest, if the final value of the deposit will be 70 000 $, in 12 years time, and the APR is 2%?
a. 35 783 $
b. 54 812 $
c. 49 472 $
d. 67 529 $
e. 32 567 $
PV=P0(1+r)nPV=P_0(1+r)^{n}PV=P0(1+r)n
70000=P0(1+0.02)1270000= P_0( 1+0.02)^{12}70000=P0(1+0.02)12
P0=70000(1+0.2)12P_0= \frac{70000}{(1+0.2)^{12}}P0=(1+0.2)1270000
=700001.26824=55,194= \frac{70000}{1.26824}= 55, 194=1.2682470000=55,194
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