true or false please answer all the questions

1. The greater the chance of default, the wider the risk premium on a company's debt. 2. For a given rate of discount, the further in the future a cash flow is to be paid, the lower the present value. 3. For a given investment amount, more proceeds require a lower interest rate. 4. When you purchase a home and borrow money from a bank via a mortgage, the bank is the owner of the house. 5. Given a company's book value, higher earnings require a greater ROE. 6. The "Agency Problem refers to the company's managers not properly representing the interests of the company's shareholders. 7. The market value of a company equals its book value plus its cumulative total retained earnings. 8. The book value of a company equals the value of its assets according to their purchase price. 9. Limited partners in a partnership are taxed once; the general partner is taxed twice