Can someone show me how to do this without using excel.

here is the dollar weighted formula

the approximation version is this,

On January 1, an investment account is worth $500,000. On April 1, the account value has increased to $530,000, and $120,000 of new principal is deposited. On August 1, the account value has decreased to $575,000, and $250,000 is withdrawn. On January 1 of the following year, the account value is $400,000. Compute the yield rate using the dollar-weighted method. = (1 + 1) + (1 + 1)1-1. 0