You are trying to decide whether to refinance your property loan. Four years ago you took out a 30 year fixed rate, fully amortizing mortgage at an interest rate of 4%. The loan was a 95% LTV loan on a house with a price of $400,000. You have no monthly PMI payments on this loan because the PMI was prepaid at closing. You can refinance this loan today with a 30 year mortgage at a rate of 2.5% with closing costs of $8331. There are no prepayment penalties on either loan. If the loan is refinance, the borrower will be able to skip the first months payment on the new mortgage. What is the payment on the original loan

Security a has a higher standard deviation of returns than security b. we would expect that: (i) security a would have a risk premium equal to security b. (ii) the likely range of returns for security a in any given year would be higher than the likely range of returns for security b. (iii) the sharpe ratio of a will be higher than the sharpe ratio of b. (a) i only (b) i and ii only (c) ii and iii only (d) i, ii and iii

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

You are looking at a one-year loan of $16,500. the interest rate is quoted as 8.7 percent plus two points. a point on a loan is 1 percent (one percentage point) of the loan amount. quotes similar to this one are common with home mortgages. the interest rate quotation in this example requires the borrower to pay two points to the lender up front and repay the loan later with 8.7 percent interest. what rate would you actually be paying here?