A major property developer is concerned about lack of sales due to local economic conditions. To ensure that his condos are occupied, he offers a lease$-$to$-$purchase program in which, if people sign a lease by the end of March, they will not have to start making payments until March of the following year. The purchase price of the condo is $$172,000.$ Payments of $$1160\mathrm{.}53$ will be required at the beginning of each month over a $25-$year amortization period. If interest is $5\mathrm{.}39\%$ compounded semi$-$annually during the first year, what is the semi$-$annually compounded interest rate during the payment period?

The interest rate during the payment period is $\%$ compounded semi$-$annually.

$($Round the final answer to two decimal places. Round all intermediate values to six decimal places as needed.$)$