MGT 201 (FM) GDB Idea Solution Your father is 50 years old now and his plan is to retire exactly at the age of 60. His goal is to create a fund that will allow him to receive Rs15, 00,000 at the time of retirement so that he can start a small business. He has searched the market and is confused between the two options:
Option 1: To deposit Rs.9,000 after every 6 months in banks A Option 2: To deposit Rs.2,000 after every 4 months in banks B
Both banks assume payments at the end of respective months. As a business graduate, you have been asked to help him out as: What interest rate assumption has the Bank A used in its offer? What interest rate assumption has the Bank B used in its offer? Which option is favorable?
Option 1: To deposit Rs.9, 000 after every 6 months in banks A Answer: m*n
FV = PV x (1+i/m) 6*10
FV
= 9000 x (1+0.07 / 6) 60
FV
= 9000 x (1 + 0.01166) 60
FV = 9000 x (1.01166)
FV = 9000 x 2.005609793 FV = 18050.48813
Option 2: To deposit Rs.2, 000 after every 4 months in banks B Answer: m*n
FV = PV x (1+i/m) 4*10
FV
= 2000 x (1+0.07 / 4)
FV
= 2000 x (1 + 0.0175)
FV
= 2000 x (1.0175)
40
40
FV = 2000 x 2.001597343 FV = 4003.194686
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