Option 1:
I = 38.2%
FV = CCF*[{(1+i/m) ^m*n -1}/ (i/m)]
1500000 = 9000*[{(1+.382/2) ^2*10 - 1}/ (.382/2)]
1500000 = 9000* [{(1.191) ^20 -1}/.191]
1500000 = 9000*{(32.978-1)/.191}
1500000 = 9000*{(31.9788)/.191}
1500000 = 9000*167.43
1500000 = 1506854
This shows that 38.2% is the rate which the Bank A assumed.
Option 2:
I = 53.25%
FV = CCF*[{(1+i/m) ^m*n -1}/ (i/m)]
1500000 = 2000*[{(1+.5325/3) ^3*10 - 1}/ (.5325/3)]
1500000 = 2000* [{(1.1775) ^30 -1}/.1775]
1500000 = 2000*{(134.53-1)/ .1775}
1500000 = 2000*{(133.53)/. 1775}
1500000 = 2000*752.28
1500000 = 1504560
This shows that 53.25% is the rate which the Bank B assumed.
(c)
The most favorable option is 53.25% interest rate which the bank B is assuming because only the 2000 has to be given at after every four months, which is the fewer amount than the bank A is charging. --Please visit www.vuaskari.com, get registered for old papers, quiz, assignments and GDBs...
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