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Catarina is the owner of a summer hip-hop festival in Mexico City. For the Summer of 2022 she booked rapper Tino el Pinguino to headline the festival. Catarina estimates that, due to Covid-19, there is a 1/2 chance that Tino will not show up. If Tino shows up, Catarina will be making $40, 000. If Tino has to cancel, the earnings drop to $2,500. Catarina has no other income sources and is considering taking out insurance against the risk of Tino not showing up. Catarina can buy insurance coverage C at unit price p that pays out $C when Tino doesn't show. The total insurance premium is then pC. By XT and XNT denote total income Catarina has when Tino shows up (T) and when he doesn't (NT) respectively. Suppose Catarina's Bernoulli utility function, u(X), is given by ln X. For any contingent income bundle (XT , XN T ), her expected utility is then: EU(XT,XNT)=1/2lnXT +1/2lnXNT Is Caterina risk averse (argue using a graph of her Bernoulli utility function)? 5. Find an analytical expression of the indifference curve through the endowment point: XNT as a (non-linear) function of XT and the expected utility obtained in the endowment point. Illustrate graphically

For this box you will analyze different measures of inflation. Inflation is the increase of prices over time; however, there are several ways of doing so, and some measures may be more relevant than others for a particular question.

The cost of a representative basket of household consumption goods is given by the CPI (Consumer Prices Index); the equivalent for firms is the PPI (Producer Price Index); and the broadest measure of prices is the GDP deflator which is defined as the ratio of Nominal GDP to Real GDP. Firms involved with foreign markets either in goods, services, or capital, pay attention to the relative value of the U.S. Dollar, that is, the exchange rate.

Since the dollar is quoted against other currencies on a one-to-one basis, one way to have an aggregate measure of the value of the dollar is to weigh all currencies on a trade basis, this gives rise to the Trade Weighted U.S. Dollar Index. This measure is also relevant because the value of the dollar can pass-through to domestic prices; where a weak (strong) dollar can push inflation up (down) as the cost of imports rises (falls).

Get the following series from the St. Louis Federal Reserve Bank FRED database from 1990 onwards:

- CPI: Consumer Price Index for all Urban Consumers: all Items (CPIAUCSL ---monthly)

- PPI: Producer Price Index for all Commodities (PPIACO ---monthly)

- Gross Domestic Product: Implicit Price Deflator (GDPDEF ---quarterly)

- Trade Weighted U.S. Dollar Index: Broad (TWEXBPA -stops in 2019- & RTWEXBGS ---monthly)

The price indices and the GDP Deflator are in levels so calculate their annualized growth rate (directly on FRED or see accompanying document to learn how to do it) and plot each of the last three series separately against the CPI [25 points each]. Do not annualize the Dollar Index, only request the Percent Change. The charts should have a title and have the axis labeled (with time in x-axis, and label the variable and its units in the y-axis).

The purpose of this box is to document and describe the co-movement of these price indicators. Your writing should reflect familiarity to the concepts and definitions and should unify them into a common framework [25 points].

Blackburn (2015) elaborates on the use of the Show-me-the-Money Model to make the business case for an organization to develop and implement a sustainability plan.

Incorporate justifications on each of the seven factors that you would offer to sell investors, management and any other major stakeholder you have identified on the need for sustainability within your organization. Remember that you are offering justification for allocating resources towards some sustainable initiatives. Please do not repeat similar arguments for the factors.

Factors :

1. Reputation and brand strength;

2. Competitive, effective, and desirable products and services; new markets;

3. Productivity;

4. Operational burden and interference;

5. Supply chain costs;

6. Cost of capital;