Question 1: Bank J&D has the following assets and liabilities: Assets 1: 200 shares of 2-year zero coupon bond with face value 1,000 (assuming risk free). Assets2: 300 shares of 4-year zero coupon bond with face value 1,000 (assuming risk free). Liabilities: The bank needs to pay 300,000 two years from now and 195,960 four years from now. Assuming that the spot rates are always 2% (flat term structure): a. Calculate the duration of the asset and liability portfolios b. Suppose that the bank is worried that all the spot rates will change from 2% to 3%. a. Show that the bank will not be able to pay his liabilities. b. How can you immunize the bank’s portfolio (before the change happens)?

Apolling company reported that 57​% of 1013 surveyed adults said that cellular phones are "quite annoying." complete parts​ (a) through​ (d) below. a. what is the exact value that is 57​% of 1013​? the exact value is 577.41. ​(type an integer or a​ decimal.) b. could the result from part​ (a) be the actual number of adults who said that cellular phones are "quite annoying" question mark why or why​ not? a. ​no, the result from part​ (a) could not be the actual number of adults who said that cellular phones are "quite annoying" because that is a very rare opinion. b. ​yes, the result from part​ (a) could be the actual number of adults who said that cellular phones are "quite annoying" because the results are statistically significant. c. ​yes, the result from part​ (a) could be the actual number of adults who said that cellular phones are "quite annoying" because the polling numbers are accurate. d. ​no, the result from part​ (a) could not be the actual number of adults who said that cellular phones are "quite annoying" because a count of people must result in a whole number. c. what could be the actual number of adults who said that cellular phones are "quite annoying" question mark the actual number of adults with this opinion could b