Plz refer to the attachment.

6) Consider a 2-period model that we studied in a class. Household receives el units of consumption goods at period 1 and 82 units of consumption goods at period 2. There are bonds and each bond gives y unit of consumption goods at the end of period 2. Each household has 1 unit of bonds in period 1. Bonds are traded at period 1 at the market price p in terms of consumption goods. Household decides the quantities of consumption \"c1 , I22\" for each period and the quantity of bond holding \"q\" to maximize hisfher utility. Thus, the household's problem can be written as cmglgl {log(c1) + B log(cz)} Subjectto c1 +pq$p+e1 c2 Syq+e2 c1 2 0 c2 2 0 q 2 0 Here, \"log\" is natural log. Thus, log(x)=ln(x) more precisely. 6-1) Solve the above maximization problem of household and derive the demand for the asset as a function of asset price. Describe the condition under which households have positive demand for the asset, i.e., q>0. Also, describe the condition under which households have no demand for the asset, i.e., q=0. (20 points) 6-2) Analyze the effects of e1, e2, y, p on bond's demand [1 when q>0 and provide intuitive explanation for the effects of each parameter on bond's demand (10 points) 6-3) Using equilibrium market clearing condition, i.e., demand=supply, derive bond's price p. (10 points)