ECN problem

5. Perdious Albion Speculators [10 points] The home country of Albion is pegging its pound to the euro. Interest rates in Albion [i] and euro (i*) are currently both at i=i*=4%, the peg is credible, and output is 100 in each country. But speculators may decide to attack the Albion pound. The ECB, which controls the euro, now decides to change its interest rate 1'\" for some reason. It will pick a rate of 4, 5, 6, 7, 8, 9, or 10%. The change is unanticipated. If the Albion home interest rate i rises, all else equal, the effect is to lower employment and output in the short run. Suppose Albion output falls respectively with each 1% point increase in the home interest rate to 99, 98, 97, 96, 95, and so on. [I.e., 1 unit of output is lost for every 1% point increase above 4%.] Assume that politically, as everyone knows, the Albion government won't sacrice its economy to the peg once output falls to a level of 96 [or lower): at that point everyone believes the Albion government will allow the exchange rate to follow a WM and then remain xed forever at the new rate. a. If speculators think the peg is credible, there is no currency premium and i=i". But if they think the peg is going to break as above, and is not credible what size of currency premium [in % per year] will they impose on the pound? [2] % b. Fill in this table, one row at a time' hint: some entries are provided: [5] ECBr'nter-estrare 4%; 5%; 6%; 7%; 3%; 9%; 10% choice in the case where Albion speculators think the interest rate peg is credibie in the case where Albion specuiators think the interest rate peg is not credibie and the currency Albion OUtPUt premium is present In the last 3 parts of the question refer to the columns in the table in your answers c. At what ECB rates are speculators certain no]; to attack? [1] d. At what ECB rates are they certain to attack? [1] e. At what ECB rates are there two equilibria? [1]