Spanish to English Bus/Financial Accounting

This is from an annual accounts report (Spain). In this section, they're talking about loans and collection items.

Estos activos financieros se valoran inicialmente por su valor razonable, incluidos los costes de transacción que les sean directamente imputables, y posteriormente a coste amortizado reconociendo los intereses devengados en función de su tipo de interés efectivo, entendido como *el tipo de actualización* que iguala el valor en libros del instrumento con la totalidad de sus flujos de efectivo estimados hasta su vencimiento.

This is what I have so far:

These financial assets are initially valued at their fair value – including the transaction costs directly attributable to them – and subsequently at the amortised cost recognising the interest accrued based on their effective interest rate, understood as the ............with the totality of their estimated cash flow until maturity.

Any suggestions for improving the above are also welcome!