On January $1,$ a fund is worth $$1,700.$ On May $1,$ the fund value has increased to $$1,820$ and $$300$ of new principal is deposited. On November $1,$ the fund value has declined to $$1,980$ and $$450$ is withdrawn from the fund. By December $31,$ the fund is again worth $$1,700.$ Compute the yield rate by the time$-$weighted method. $(5$ decimal accuracy$)$