@Vera Herlihy - great questions!
Loan to Value, or LTV is the amount of the loan a lender will make on a property, as a percentage of its value. As you can imagine, no lender wants to fund 100% of a deal because the borrower would have little to no "skin in the game".
Typical LTV's for single family investment properties is in the range of 60% to 80%, depending on the type of lender, and duration (term) of the loan. For single family properties where the borrower will live in the property, the LTV will typically go up to 80% to 90%, with the theory being that a borrower is less likely to default on the loan for the house they live in.
Typical LTV's for non-single family houses is almost always lower than 80%, with many being 65% to 75% for multifamily and other types of commercial, and as low as 40% to 50% for (non-income producing) land.
Every lender establishes their own rules, and lenders who receive Federal support (FDIC insured, or FHA, etc.) following Federal guidelines. Private lenders, and private investors can do what they want. Which is why it is not uncommon to see experienced investors setting up private investor (attraction) programs, and structuring deals with 100% LTV's.
Cap Rate, or "Capitalization Rate" is a little less straight forward. In theory, a "Cap Rate" is a simple mathmatical formula, where you divide the properties Net Operating Income (or NOI) by the purchase price (assuming it's an all cash transaction). So as a example: If I pay $1.0 million cash for a property, and in the first year of ownership I receive $100,000 in net operating income (NOI), then I will have earned a return of 10% on my investment and my cap rate would be 10. Oh, cap rates are almost always expressed as a number, not percentage. So if my NOI (in thus example) was $75,000, then my (first year) return would be 7.5% and my cap Rate would be 7.5.
Now, here's where it gets tricky... often times a real estate broker (agent) will say, you can purchase this property for a 6.5 cap. Using the example above, (again) if I purchase for $1.0 million, then my expected (first year) be operating income (NOI) would be $65,000. But what if I purchase it for $1.0 million, but my NOI turns out to be only $45,000, because there was an additional $20,000 in expenses I did not know about? Then in this example, my actual cap rate (for the first year) would actually be 4.5
The challenge with cap rates is twofold: 1) It only looks at the first full year (of new ownership) of NOI when you calculate it, 2) What is in your NOI, versus what should not be in your NOI. In general, NOI should include: a) your gross possible income/or actual income, minus b) a reasonable allowance (deduction) for bad debt and vacancy, minus c) property operating expenses (including property taxes, but NOT debt service for any loans, or personal taxes). This is where things can get a little squirrelly. Should things like "reserves for (ultimate) replacement of equipment and roof be included in your NOI. Some will argue "yes", while others say "no". But "what's in, versus what's out" can gave a huge impact on NOI, and ultimately value, and Cap rate. As an example, let's go back to the million dollar purchase above. Let's say you thought NOI was going to be $100,000, but during the first 2 months of being the new owner you get a property tax bill that is $20,000 higher than what you were told it would be. You go down to City Hall and ask "what's up with the huge increase?" And are told the prior owner was given a 10 year tax break for Rehabbing a historic building, but the credit has now been used up, and for the future the tax bill will be higher. You thought you were getting a property with a "10 cap", but now realize it's going to be a 9 cap. This may, or may not be a big deal.
Bottom line: cap rates are just one tool for valuing income producing property. An important one, but not the only one.
Hope this helps.