Страховая премия зависит от застрахованного имущества.

Because it agrees with премия, which is a feminine singular noun in the nominative case.

• премия = feminine, singular, nominative
• So the adjective must match it:
  • страховая премия = insurance premium

This is standard adjective-noun agreement in Russian:

• новая книга = new book
• страховая премия = insurance premium

Good question. Премия can indeed mean bonus, prize, or award in other contexts. But in insurance language, страховая премия means insurance premium.

So this is a vocabulary point rather than a grammar issue:

• премия in a workplace context: bonus
• Нобелевская премия: Nobel Prize
• страховая премия: insurance premium

Russian often uses the same word in several related but different contexts.

Because the Russian verb зависеть works with the preposition от, meaning to depend on.

So the pattern is:

• зависеть от + genitive

Examples:

• Это зависит от погоды. = It depends on the weather.
• Успех зависит от опыта. = Success depends on experience.
• Страховая премия зависит от застрахованного имущества. = The insurance premium depends on the insured property.

This is just the normal government pattern of the verb.

Because the preposition от requires the genitive case.

The base form is:

• застрахованное имущество = insured property

After от, both words must change to genitive:

• застрахованного имущества

Breakdown:

• имущество → имущества
• застрахованное → застрахованного

This happens because adjectives and nouns both change to match the required case.

Yes, in this sentence it functions like an adjective.

It comes from the verb застраховать = to insure. More specifically, застрахованный / застрахованное / застрахованная is a participle, but learners can usually treat it like a regular adjective meaning insured.

So:

• застрахованное имущество = insured property

In this sentence it appears in the genitive form:

• застрахованного имущества

You do not need to think about the full participle system to understand the sentence; it behaves like an adjective here.

It is in the nominative case, because it is the subject of the sentence.

The verb is зависит = depends, and the thing that depends is страховая премия.

So:

• Страховая премия = subject, nominative
• от застрахованного имущества = prepositional phrase with от + genitive

In Russian, имущество is often a collective or mass noun, much like property in English.

So even though it can refer to multiple items, Russian commonly uses the singular:

• имущество = property, assets, possessions

That means:

• застрахованное имущество can refer to one insured item or to insured property in a broader sense, depending on context.

So the singular here is completely normal.

Yes, Russian word order is fairly flexible, although the original order is the most neutral and natural here:

• Страховая премия зависит от застрахованного имущества.

You could also say:

• От застрахованного имущества зависит страховая премия.

That version puts more emphasis on от застрахованного имущества.

So the meaning stays basically the same, but the focus changes. For a learner, the original version is the best default word order.

A helpful approximate stress guide is:

• страхо́вая пре́мия зави́сит от застрахо́ванного иму́щества

Main stresses:

• страхо́вая
• пре́мия
• зави́сит
• застрахо́ванного
• иму́щества

A rough English-style approximation:

• stra-KHO-va-ya PRE-mi-ya za-VEE-sit ot za-stra-KHO-van-na-va i-MOO-shchest-va

A few pronunciation notes:

• The г in застрахованного is pronounced like v in this ending: -ого / -его often sound like -ово / -ево
• Unstressed о often sounds closer to a
• щ in имущество is a soft shch sound

Russian has no articles like a or the.

So:

• страховая премия can mean an insurance premium or the insurance premium
• застрахованное имущество can mean insured property or the insured property

The exact meaning depends on context.

In this sentence, English often uses the because the meaning is specific:

• The insurance premium depends on the insured property

But Russian does not need an article to express that.

Yes, страховая премия is the standard and correct term.

A learner might be tempted to connect English premium with a borrowing like премиум, but that would be wrong here. In insurance language, Russian uses:

• страховая премия = insurance premium

So this is an important vocabulary pairing to remember as a fixed expression.