Judy Picoo, CFA, a portfolio manager for the JP Fund, needed to compute her portfolio performance results for the 2003 first calendar quarter in compliance to GIPS. The following monthly results and information were available: January 2003: +2.3% February 2003: 1.0% March 2003: The market value of her portfolio was $50 million on February 28, 2003, and $51.5 million on March 31, 2003. The portfolio did experience a redemption of $500,000 on March 15, 2003
Calculate the return for the month of March 2003 using the modified Dietz method.
Answer and Explanation
GIPS permitted time-weighted rates of return until January 1, 2005, at which time, GIPS required time-weighted rates of return adjusted for daily-weighted cash flows (modified Dietz method). In order to compute the monthly return for the month of March 2003, use the following formula for the modified Dietz method: R = [51,500,000 - 50,000,000 - (-500,000)] / [50,000,000 + (-500,000 x 0.51613)] = 4.02% W = (31 - 15)/31 = 0.51613
R = [51,500,000 - 50,000,000 - (-500,000)] / [50,000,000 + (-500,000 x 0.51613)] = 4.02% W = (31 - 15)/31 = 0.51613
Calculate the quarterly return for the first quarter of 2003.
Answer and Explanation
GIPS require that periodic returns must be geometrically linked. The following formula shall apply: RQ = [(1 + R1) × (1 + R2) × (1+R3)] 1 where: RQ = quarterly return R1 = return for month 1 R2 = return for month 2 R3 = return for month 3 RQ = [(1 + 0.023) × (1 + (-0.01)) × (1 + 0.0402)] - 1 = 5.35% for the first quarter of 2003
GIPS require that periodic returns must be geometrically linked. The following formula shall apply: RQ = [(1 + R1) × (1 + R2) × (1+R3)] 1 where: RQ = quarterly return R1 = return for month 1 R2 = return for month 2 R3 = return for month 3 RQ = [(1 + 0.023) × (1 + (-0.01)) × (1 + 0.0402)] - 1 = 5.35% for the first quarter of 2003
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