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claimed that if z+x/y, then g(z) = g(x)-g(y), where g(.) represent the growth rate of the variable in question. Prove this result in a formal way using two methods.
First, repeat the method that we used in class to prove that if z = xy, then g(z)=g(x)+g(y)
Second, notice that if z=x/y, then z= x*(1/y). Hence, using the formula mentioned above, g(z)=g(x)+g(1/y). So all you need to do is find a clever way to calculate the growth rate of the variable 1=y, namely g(1=y).
A business magazine is available for $58 for 1 year, $108 for 2 years, $153 for 3 years, or $230 for 5 years. Assume you will read the magazine for at least the next 5 years. For what interest rates do you prefer each payment plan
Submit at least one coordinate point that can be used to graph the line 1A - 1B = 3. Remember that the left hand side must equal the right hand side when you plug your numbers in. Your submission must be unique from.
own a bond that pays a semiannual coupon of $100 on Jan. 1 and July 1 of each year until 2020, and will pay $10,000 in addition to the coupon payment on Jan. 1, 2020. Tomorrow (Jan 2, 2012) you receive two pieces of information.
Firms often face the problem of allocating an input in fixed supply among different products. Find the optimal crude oil allocation in the proceeding example if the profit associated with fiber were cut in half, that is, fell to $0.375 per square ..
When a recession is over, do people start to immediately feel affects of an efficient economy? Use the experience of most recent recession to justify your answer.
Now assume that intermediaries come from a competitive market with an equilibrium price of $8 per unit for their services, that is, any buyer or seller who wants an intermediary's services must pay $8 for them. What is the maximum per unit that se..
Consider a committee that consists of three people, A, B, and C, that is to examine three proposals, x, y, and z. The committee can adopt at most one of the three proposals; it also has the option of adopting none.
Interpret the coefficient on log(dist). Is the sign of this estimate what you expect it to be? Do you think simple regression provides an unbiased estimator of the ceteris paribus elasticity of price with respect to dist? (Think about the city's d..
The Xerxes Company is composed of a marketing division and a production division. The marketing division packages and distributes a plastic item made by the production division. The demand curve for he finished product sold by the marketing divisi..
A consumer enjoys two goods, X and Y. The price of X is $5 and the price of Y is $10 and the consumer has $1500 to spend on these goods. The utility function of the consumer is U = Y √x ; thus MUx = 1/2 Y/ √x and MUy = √x . What bundle of goods wi..
Dx = Px-2 I1.5 PY1.5. From the information above, what are the values of price elasticity Income elasticity How much will D change if Px is cut by 5% and income rises by 10%
Find E(Z) (1 dp) 2. Assuming that X and Y are statistically independent find var(Z) (1 dp) 3. Assuming that cov(X,Y) = 2 find var(Z) (1dp)
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