Rahul had invested in an open ended Mutual Fund when the NAV of the fund was Rs. 10. After 6 months the NAV was Rs. 12. Calculate the annualized percentage change in the fund ignoring all charges.
I've got this! The annualized percentage change is calculated as (final NAV / initial NAV)^(1/t) - 1, where t is the time period in years. In this case, t = 0.5 years, so I just need to plug in the values.
Okay, let me think this through step-by-step. The initial NAV was Rs. 10 and the final NAV after 6 months was Rs. 12. I need to calculate the annualized percentage change.
This seems like a straightforward calculation of the annualized percentage change in the fund's NAV. I'll need to use the formula for annualized return.
I think the formula for annualized percentage change is (NAV final / NAV initial)^(1/n) - 1, where n is the number of periods. So, in this case, it would be (12/10)^(1/0.5) - 1.
Okay, let me think through this step-by-step. If the NAV went from 10 to 12 in 6 months, that's a 20% increase. Annualizing that would give 40%, which is option A.
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