X must borrow $2000 for 2 years. He is offered the money at: (A) 5% compounded quarterly (B) % 8 3 5 compounded annually (C) % 2 1 5 simple interest Which offer should he accept
A)
FV=2000(1+0.05/4)2⋅4=$2208.97FV=2000(1+0.05/4)^{2\cdot4}=\$2208.97FV=2000(1+0.05/4)2⋅4=$2208.97
B)
FV=2000(1+0.0835)2=$2347.94FV=2000(1+0.0835)^{2}=\$2347.94FV=2000(1+0.0835)2=$2347.94
C)
FV=2000(1+0.0215⋅2)=$2086FV=2000(1+0.0215\cdot2)=\$2086FV=2000(1+0.0215⋅2)=$2086
Since FV=$2086FV=\$2086FV=$2086 is minimal, he should accept offer (C).
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