My bitcoin core 2 application on my mac is fully synced, but my bitcoin balance on the overview page of the application is not updating based on the new price of bitcoin. Why is that? Is my application still running properly?
Bitcoin Core does not support to get price from exchanges and calculate an equivalent price for your bitcoin.
Your Bitcoin Core wallet runs properly.
If you want to check its value in $USD, you can copy that Bitcoin address to block explorers and check the balance.
List of useful Bitcoin block explorers (1miau).
You can import that Bitcoin address to Electrum wallet and get a Watch-only wallet.
Download Electrum
https://electrum.org/#downloadCreate a new wallet
Import Bitcoin addresses or private keys
Paste your Bitcoin address
Next
Set a wallet password
Next
You will have this notification
This wallet is watching-only. This means you will not be able to spend Bitcoins with it. Make sure you own the seed phrase or the private keys, before you request Bitcoins to be sent to this wallet.
You will be able to check that address value in $ or any fiat currency. Customize it with some steps
Tools
Preferences
Fiat
Choose fiat currency you want
Choose a source from which the Electrum wallet will get Bitcoin price to calculate that address balance value.
https://bitcoinelectrum.com/creating-a-watch-only-wallet/