If you bought your car for $30,000 two years ago, and you’re going to straight-line depreciate it over five years with zero salvage value, then your book value is $18,000. That’s how much it is worth on the BOOKS.
If the used-car dealer is offering you $13,500 for it, then the market value is $13,500. That’s what you can sell it for, or its MARKET value.
If you put in all the costs and revenues of the car into a DCF model, discount it back at an appropriate rate to find the NPV of the car is worth $50,000, then that is its INTRINSIC value. It’s finance-speak for “how much the analyst believes that it should be worth under a lot of unrealistic assumptions and in an unrealistically perfect market”. Basically, INTRINSIC value is what the analyst think the car is “worth”. (As opposed to what the books say it is worth, or the market says it is worth.)