An investment fund was valued at $50,000 on 1/1/98. A withdrawal of $27,000 was made on

1/1/99, a deposit of $10,000 was made on 1/1/00.

The value of the fund on 12/31/98 was Y, the value of the fund on 12/31/99 was $40,000, and the value of the fund on 12/31/01 was $45,000.

The ANNUAL rates of interest calculated using the dollar-weighted method (by first order approximation) and the time-weighted method for the period from 1/1/98 to 12/31/01 were the same. Find Y