Home owner's insurance question


Reading through my policy it would appear that through the personal property section an audio system is covered for loss.  No special rider is necessary.  But the replacement cost section states that the insurance company won't pay until you actually replace your stereo system.  If one makes a big claim, let's say $100,000, how does one pay this first if you're going to get paid afterwards?  What if you don't have the money to re-buy your system or you choose not to replace it?  Can any insurance experts explain to me how these home owner policies actually work?
philharmonicpete
Elizabeth is correct in all aspects with one respectful correction. And by the Elizabeth you could teach me volumes on AV...

Contents Coverage B or personal property,  
does not have a “co-insurance penalty” clause as does Building coverage A does. While you are required depending on the carrier to carry 80-100% of replacement cost on your home, your contents has no % that is required. You could have $50k contents but only carry $25k contents and still get full recovery on a $25k loss. The exception is the federal government with National flood insurance, carry 100% across the board or FEMA might get you!
Dave 
38 year SF agency owner
@dave1980 Correct, there is no co-insurance requirement on personal property. I was going to mention that earlier, but we seem to be getting in the weeds here.

@Tatyana69   Rubbish, a adjuster cannot "decimate" your claim. That is called bad faith and is illegal. The key is to have documentation to support your claim, photos, receipts, etc.

@philharmonicpete  In your scenario, you would prepare an inventory of your major items, stereo and otherwise.

Lets say you had an amplifier with a replacement cost of $20,000 and the actual cash value (used value) is $15,000. The insurance company would pay you the $15,000 and as soon as you submit documentation that you have ordered the replacement, you would get the additional $5,000. You could replace it with a more expensive amplifier, but can only collect up to $5000. Also, in most states insurance also pays the sales tax.

Sure it's a PIA, but having a total loss fire by definition is a PIA, a bigger PIA without insurance. 
@ericsch  thanks so much for your answers.
Would photographs of your system be sufficient proof for an insurance company to support a claim for loss?
Lowrider, it might be possible to have an endorsement or "rider"on your policy with a separate schedule and itemized values but I've only seen this done for jewelry, art work etc. Interesting question.
Larry
Tuberist is 100% correct. Items that appreciate in value ( jewelry artwork etc) over time can be individually scheduled with a declared value and receive “all-risk” coverage, even dropping an item would be covered.

items that depreciate over time cannot be insured for a declared value. However here is some good news. Say your “top of the line” Sony 75” TV or former top of the line Matantz pre-pro is destroyed by lightening from years ago. If that model is no longer being sold, a quality carrier will replace it with the “top of the line” model today. Keep all brochures, sales receipts, owners manuals and take video or pictures to prove the model you had. Do not throw it away in case the adjuster wants to see it. I have had 10 year old gear replaced at over 2.5 times what I originally paid.
Dave