Banken kan tilbageføre den uautoriserede betaling, forudsat at jeg underretter banken.

Banken is the definite form of bank.

• en bank = a bank
• banken = the bank

Danish usually adds the definite article to the end of the noun. Here it refers to a specific bank, so banken is natural.

Because betaling is a common gender noun, not a neuter noun.

In Danish:

• common gender nouns take en / den
• neuter nouns take et / det

So:

• en betaling
• den uautoriserede betaling

If the noun were neuter, you would use det instead.

Because the adjective is in a definite noun phrase.

In Danish, when you have:

• den/det/de
  • adjective + noun

the adjective usually takes -e.

So:

• en uautoriseret betaling = an unauthorized payment
• den uautoriserede betaling = the unauthorized payment

Here uautoriserede is behaving like an adjective, even though it comes from a participle.

Because in Danish, when a noun has a preposed definite marker like den, the noun itself usually stays in its basic singular form, not the suffixed definite form.

Compare:

• betalingen = the payment
• den uautoriserede betaling = the unauthorized payment

So Danish normally does not say den uautoriserede betalingen.

This is a very important pattern:

• bilen = the car
• den store bil = the big car

Kan is a modal verb, and it is followed by an infinitive verb.

So:

• kan = can
• tilbageføre = reverse / transfer back / reimburse, depending on context

After modal verbs in Danish, you normally use the infinitive without at:

• kan tilbageføre
• skal betale
• vil vente

That works much like English can reverse.

Here it is correctly written as one word: tilbageføre.

That is the standard dictionary form of the verb. In this sentence it comes after the modal kan, so it stays in the infinitive form.

So this is normal:

• Banken kan tilbageføre ...

You should learn it as a single verb.

Forudsat at is a conjunction meaning something like provided that or on condition that.

It introduces a condition:

• the bank can do something
• if / provided that another condition is met

It is quite formal and fits well in legal, banking, or administrative language.

Because forudsat at jeg underretter banken is a subordinate clause.

In Danish, many writers place a comma before subordinate clauses, especially in formal writing. That is what you see here.

A useful learner point: modern Danish comma rules allow two systems, so in some texts you may also see no comma before the subordinate clause. But in formal language, the comma is very common.

Because this is a subordinate clause, not a main clause.

Danish main clauses usually follow verb-second order, but subordinate clauses do not. After a subordinating expression like forudsat at, the structure is normally:

• conjunction
• subject
• finite verb

So:

• forudsat at jeg underretter banken

not a main-clause pattern.

This is similar to the difference between:

• main clause: Jeg underretter banken
• subordinate clause: ... at jeg underretter banken

Because Danish often uses the present tense for future meaning when the future is clear from context.

That is especially common in conditions, time clauses, and formal statements.

So jeg underretter banken here means something like if I notify the bank, even though the notifying may happen later.

English does something similar:

• if I notify the bank not
• if I will notify the bank

Repeating banken makes the sentence clearer and more formal.

In everyday speech, a pronoun might sometimes be possible if the reference is obvious. But in legal or banking language, repeating the noun helps avoid ambiguity.

So underretter banken sounds precise and official, which fits the style of the sentence.

Yes. Underrette is fairly formal and is especially common in official, legal, or administrative language.

In more everyday Danish, people might more often say:

• informere
• give besked til
• fortælle

But in a banking or legal context, underrette is very natural.

The prefix u- often gives a word a negative or opposite meaning, similar to English un-.

So:

• autoriseret = authorized
• uautoriseret = unauthorized

In this sentence, because the phrase is definite, it becomes uautoriserede. So the -e ending is grammatical, while u- is the part that creates the negative meaning.