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.
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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