La kurzo de la valuto restas sama.

Here kurzo means rate, specifically the exchange rate of a currency.

This word can also mean course in other contexts, so learners sometimes get confused. In this sentence, because it is followed by de la valuto (of the currency), the meaning is clearly rate.

So:

• kurzo = rate / exchange rate
• kurso = course, direction, class

These are different words, and mixing them up is a very common mistake.

De usually means of or from, and here it shows possession or relationship:

• la kurzo de la valuto = the rate of the currency

This is a very normal Esperanto way to connect two nouns.

English often uses noun + noun combinations like currency rate, but Esperanto usually prefers a clearer structure such as:

• kurzo de la valuto

You could sometimes make a compound-style expression in Esperanto, but de is often the safest and most natural choice for learners.

Both nouns are definite here:

• la kurzo = the rate
• la valuto = the currency

So Esperanto uses la with each noun that is definite. Unlike in some languages, one the does not automatically cover the whole phrase.

Compare:

• la kurzo de la valuto = the rate of the currency
• kurzo de valuto = a rate of a currency or currency rate in a more general sense

If the meaning is about a specific rate and a specific currency, using la twice is normal.

Estas means is, but restas means remains or stays.

So:

• La kurzo estas sama = The rate is the same.
• La kurzo restas sama = The rate remains the same.

In your sentence, the idea is not just describing the rate, but saying that it continues unchanged. That is why restas is the better choice.

Because sama is an adjective, and it describes the noun kurzo.

• sama = same
• same = in the same way / equally

In this sentence, we need an adjective because we are describing the rate:

• La kurzo restas sama. = The rate remains the same.

If you used same, that would be an adverb, and it would not fit here.

In Esperanto, adjectives end in -a.

Since sama describes kurzo, it must be in adjective form:

• kurzo = noun
• sama = adjective describing that noun

Esperanto adjectives also agree with nouns in number and case when necessary. Here:

• kurzo is singular
• it is not in the accusative
• so sama stays just sama

If the noun were plural, you would get:

• La kurzoj restas samaj. = The rates remain the same.

Because there is no direct object here.

The sentence has:

• subject: La kurzo de la valuto
• verb: restas
• predicate adjective: sama

The -n ending is mainly used for direct objects and for some expressions of direction. Neither of those applies here.

So:

• La kurzo is the subject, not an object.
• sama is describing the subject after the verb, so it also does not take -n.

Not exactly.

• valuto = currency
• mono = money

Valuto refers to a specific currency system, such as the dollar, euro, or yen.
Mono is the broader idea of money in general.

So in a sentence about an exchange rate, valuto is the better word.

Yes, Esperanto word order is fairly flexible, but the normal order here is the most natural:

• La kurzo de la valuto restas sama.

You might sometimes see a different order for emphasis, but for ordinary neutral style, this version is best.

For a learner, it is usually safest to keep the order:

subject + verb + complement

So:

• La kurzo de la valuto = subject
• restas = verb
• sama = complement

Esperanto stress is almost always on the second-to-last syllable of each word.

So:

• La = lah
• kurzo = KUR-zo
• de = deh
• la = lah
• valuto = va-LU-to
• restas = RES-tas
• sama = SA-ma

A rough pronunciation guide:

lah KUR-zoh deh lah vah-LOO-toh RES-tahs SAH-mah

Also note:

• z sounds like the z in zoo
• u sounds like oo in food
• a sounds like a in father

In theory, kurzo can mean different kinds of rate, depending on context. But with de la valuto, the most natural interpretation is exchange rate.

If you want to be extra explicit, Esperanto also allows fuller expressions such as:

• la interŝanĝa kurzo de la valuto = the exchange rate of the currency

But in many contexts, simply kurzo is enough.

Because same and equal are not always the same idea.

• sama = the same, unchanged, identical in identity or state
• egala = equal

In this sentence, the idea is that the exchange rate has not changed, so sama is the natural word.

Using egala would sound more like comparing two things and saying they have equal value, not necessarily that one thing has remained unchanged over time.