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A Village Has Five Residents, Each of Whom Has an Accumulated

question 134

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A village has five residents, each of whom has an accumulated savings of $50. Each villager can use the money to buy a government bond that pays 10 percent interest per year or to buy a year-old goat, send it onto the commons to graze, and sell it after one year. The price of the goat that the villager will get at the end of the year depends on the amount of weight it gains while grazing on the commons, which in turn depends on the number of goats sent onto the commons, as shown in the table below. Assume that if a villager is indifferent between buying a bond and buying a goat, the villager will buy a goat.  Number af gants  an the carmuns  Price per 2-year  ald poat (5)   Incame per  gant ($/year)  180302752537020465155555\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Number af gants } \\\text { an the carmuns }\end{array} & \begin{array} { c } \text { Price per 2-year } \\\text { ald poat (5) }\end{array} & \begin{array} { c } \text { Incame per } \\\text { gant (\$/year) }\end{array} \\\hline 1 & 80 & 30 \\\hline 2 & 75 & 25 \\\hline 3 & 70 & 20 \\\hline 4 & 65 & 15 \\\hline 5 & 55 & 5 \\\hline\end{array}  
If each villager is purely self-interested, how many goats will be sent onto the commons?


Definitions:

Common Stock

Equity securities representing ownership in a corporation, with voting rights and potential dividends.

Par

The face value of a bond or stock, which is the amount the issuer agrees to pay at maturity in the case of a bond, or the value assigned to a share of stock at the time of issue.

Consolidated Statements

Financial statements that aggregate the financial information of a parent company and its subsidiaries into one document.

Equity Method

An accounting technique used to record the investments in other companies where the investor has significant influence but does not have full control.

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