Mrs Renu has two investment options 8.4% p.a compounded monthly or 8.5% p.a compounded semiannually. Which option is better for Mrs Renu ?
Answer & explanation
Correct answer: option 2
The correct answer is option (2) : First option
First option :-
Given r= 8.4% p.a
P = 12 months
So, effective rate (per rupee) = $\left(1+\frac{8.4}{1200}\right)^{12}-1$
$= (1.007)^{12}-1$
$=1.0873-1$
$=0.0873$
Hence, effective rate $=0.0873×100$%=$8.73$%
Second offer:-
Given r =8.5% p.a
P = 2 half years
So, effective (per rupee) = $\left(1+\frac{8.5}{200}\right)^2-1$
$= (1.0425)^2-1$
$= 1.0868 - 1 $
$= 0.0868$
Hence, effective rate $= 0.0868 × 100$ % $= 8.68$%
Hence , the first option is better for Mrs Renu