Wij vergelijken de dagwaarde en de nieuwwaarde.

Yes. Wij and we both mean we.

• wij is the fuller, more stressed form
• we is the shorter, very common spoken form

So these are both possible:

• Wij vergelijken de dagwaarde en de nieuwwaarde.
• We vergelijken de dagwaarde en de nieuwwaarde.

In many everyday situations, we sounds more natural in speech. Wij is often used for emphasis, contrast, or a slightly more formal tone.

Vergelijken is the verb in the present tense. The infinitive is also vergelijken, meaning to compare.

The subject is wij, so the present-tense form is:

• ik vergelijk
• jij vergelijkt
• hij/zij vergelijkt
• wij vergelijken
• jullie vergelijken
• zij vergelijken

So in this sentence, wij vergelijken means we compare or we are comparing, depending on context.

Because the subject is wij (we).

In Dutch present tense, verbs usually work like this:

• singular often has a different ending
• plural usually uses the infinitive form

So:

• ik vergelijk
• wij vergelijken

Since wij is plural, Dutch uses vergelijken.

This is standard Dutch main-clause word order:

subject + verb + rest of the sentence

So:

• Wij = subject
• vergelijken = finite verb
• de dagwaarde en de nieuwwaarde = object

Dutch is a verb-second language, which means the finite verb usually comes in the second position in a main clause. If you start with the subject, the order is very similar to English:

• Wij vergelijken ...
• We compare ...

Because dagwaarde and nieuwwaarde are de-words.

In Dutch, singular nouns usually take either:

• de
• het

There is not always an easy rule, so you often need to learn the article with the noun.

Here:

• de dagwaarde
• de nieuwwaarde

Since both are singular de-words, the sentence uses de twice.

They are compound nouns, which are very common in Dutch.

Dutch often combines smaller words into one longer noun:

• dag
  • waarde → dagwaarde
• nieuw
  • waarde → nieuwwaarde

A few things to notice:

• Dutch usually writes such combinations as one word
• the main part is usually the last part, here waarde
• the first part adds extra meaning

So dagwaarde and nieuwwaarde are both types of waarde.

Because the first part is nieuw and the second part is waarde.

When Dutch forms compounds, the parts are joined directly:

• nieuw
  • waarde → nieuwwaarde

That creates ww in the middle. This is normal in Dutch spelling. It is not a typo.

You also see this in other compounds where the last letter of the first part and the first letter of the second part are the same.

Dutch simply uses the article with each noun when needed:

• de dagwaarde en de nieuwwaarde

This is the normal way to coordinate two definite nouns with en (and).

You would not normally drop the second de here, because each noun has its own article.

En means and.

It joins the two objects:

• de dagwaarde
• de nieuwwaarde

So the structure is:

Wij vergelijken [noun phrase 1] en [noun phrase 2].

This works very much like English.

Yes. It is historically built from dag (day) + waarde (value).

In actual use, though, you should learn dagwaarde as a fixed term, not just as the literal idea of day value. In many contexts it refers to a specific kind of current value.

That is very common in Dutch: even if a compound is made from familiar parts, the whole word often has a specialized meaning.

A very natural spoken version is:

We vergelijken de dagwaarde en de nieuwwaarde.

In speech:

• we is often more common than wij
• de is usually unstressed
• the main stress often falls on the important nouns, especially if you are contrasting them: dagwaarde and nieuwwaarde

If you want emphasis, you might use wij:

• Wij vergelijken de dagwaarde en de nieuwwaarde.

That can sound a bit more deliberate or contrastive, like we compare them, not someone else.

No, not in a normal sentence like this.

Dutch normally requires an expressed subject:

• Wij vergelijken de dagwaarde en de nieuwwaarde.

Unlike in some languages, you usually cannot just say the verb alone and let the subject be understood from the ending. So vergelijken de dagwaarde en de nieuwwaarde would not be a normal complete sentence.

Yes, but only if something else is put first. Because Dutch is verb-second, the finite verb still stays in second position.

For example:

• Vandaag vergelijken wij de dagwaarde en de nieuwwaarde.
• De dagwaarde en de nieuwwaarde vergelijken wij vandaag.

These are grammatically possible, though the first sentence is the most neutral and straightforward:

• Wij vergelijken de dagwaarde en de nieuwwaarde.

So the original sentence is the basic, standard word order.