Yes i have given the private key to my parents. So they can get it

Give your private keys to a solicitor who will hold  it in trust until your estate is opened up and your will read.You may also need to grant instructins on how to actully access and send the BTC

I am assuming the BTC price will increase as there will be less BTC in circualation, therefor the value of the BTC existing on the market will increase.

Lol. You're worst than what you think. We all know that its all useless when people died even how rich he is. No one pass this life with some piece of gold in his hands. All was useless. So, use it for worth things.

if there is no heir to bitcoin holders then the bitcoin will be stored without anyone knowing it. but if the bitcoin holder has an heir, then the bitcoin will continue to have holders.

It's a problem. A lot of crypto is lost because its owners died. Of course a wallet key can be written is bequest, but there is another tool. There is a service called Mywish that is based on smart contracts. It lets you send crypto to anyone if a condition (for instance, if a wallet is not active for a year that looks like owner's death) is completed.

LOL, im sure someone with 100btc that knows about it, would at least make basic preparations for passing it on. but if they didnt, effectively these coins are out of circulation. Most paper wallets only last so long, and even if a hardware wallet is used, its not indestructable. so there is the potential for discovery while the wallet is is still accessible; after that, they are out of the loop (at least until someone starts cracking private keys with next generation processors)

then the 100 btc is still there in wallet and it will not recover if the family did not know his/her password or private key, we should tell our trusted family members to know our private key or password just in case.

the bitcoin will sit in his wallet till the end of the bitcoin, or until someones hacks in and gets them. It's better for someone with a nice amount of btc to leave something in writing behind, like the password and all the security details. and if the amount of bitcoins is even bigger, at least the market won't react because of those coins

It will freeze forever if no one can unlock it