1. The formulae r-g> 0 in Thomas Piketty's Capital In the Twenty-First Century states that the net rate of return of capital (r) exceeds the growth rate (a). He argues that wealth inequality is set to rise from its low levels in the 1950s through 1970s to the very high levels. Consider the Ramsey model with a CRRA utility function: C- −1 u = σ 1. 1-σ Based on the relationship between r and g in the Ramsey modei covered in the class, discuss the implication of the relation between r and g in the Ramsey model in Korean or in English. (Hint: = kt =g at the balanced growth path.) Ct = Yt
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- Suppose you are borrowing 25,000 and making monthly payments with 1% interest. Show that the monthly payments should equal 556.11. The key relationships are that for any month t (Ending month t balance) = (Ending month t 1 balance) ((Monthly payment) (Month t interest)) (Month t interest) = (Beginning month t balance) (Monthly interest rate) Of course, the ending month 60 balance must equal 0.Assume that for a closed economy, E = C + I + G,where E = Total expenditure on Consumption Goods,I = Exp. on Investment GoodsG = Govt. spendingFor equilibrium, we must have E=Y, Y being total income received.For a certain Economy, it is given that C=15 + 0.9Y, where I=20 + 0.05Y and G=25.Find the equilibrium values of Y, C, and I. How will these change, if there is no Govt.spending?(3) How to interpret relationship between changes of GDP growth rate and unemployment rate? Now go to your notes (slides). Is the relationship you plotted similar as the Okun's Law predicts? Suppose you got a relation as GDP = a + b * UNemp, Are the coefficients of a and b are close to the value of Okun's Law? (4) Now repeat the plot you did in part (2) above. However, this time you use the sample only from 2000 to 2019. Any change to the relationship? How is the value of a and b in this sample?
- !The consumption function for a closed economy with no government sector is given by theequation:C = £200 million + 0.8 Ywhere C is aggregate consumption and Y is national income.(i) Calculate the value of aggregate savings if the level of national income is £4000 million.(ii) Calculate the equilibrium level of national income if the level of planned investment is£600 million(iii) Calculate the level of aggregate consumption at the equilibrium level of nationalincome if the level of planned investment is £1000 million(iv) Calculate the change in national income if planned investment rose from £600 millionto £800 millionConsider two equity market investors. The first investor is a hedge fund manager that relies on very active trading, and borrows from investment banks in order to leverage their investment. Their remuneration depends on total base fee earned by their fund as a percentage of net assets under management, plus a yearly bonus based on returns generated above a hurdle rate. The second investor is a high net-worth individual who is investing for their own retirement, which they anticipate to occur in 10 years or more. Identify three dimensions of risk that are likely to have significantly different impact on thesetwo investors. Explain the nature of the difference. Suggest aspects that each investor might monitor in order to control the risks most relevant to them.
- We need to choose best among the three available investment alternatives high-risk stock, low-risk stock and savings account. Fixed payoff o: 500€ for savings account for the deposited amount. 200€ fixed fee needs to be paid towards trading charges. Payoffs details depends on market conditions as mentioned below. Which investment option you will choose and why? If you need any more details to solve this problem, please make your assumptions and list all the assumptions that you made. Market Up Market Same Market Down High Risk 1700 300 -800 Low Risk 1200 400 100 Probability 0.5 0.3 0.2Investment is a larger portion of GDP than consumption, but is substantially less volatile. Investment rises OA. sharply during recessions and falls sharply during booms OB. slowly during booms and falls slowly during recessions OC. sharply during booms and falls sharply during recessions OD. sharply with exports and falls sharply with importsPlease answer along with the excel formulas - 1. Sue now has $125. How much would she have after 8 years if she leaves it invested at 8.5% with annual compounding? $205.83 $216.67 $228.07 $240.08 $252.08 2. Suppose you have $1,500 and plan to purchase a 5-year certificate of deposit (CD) that pays 3.5% interest, compounded annually. How much will you have when the CD matures? $1,781.53 $1,870.61 $1,964.14 $2,062.34 $2,165.46 3. Last year Rocco Corporation's sales were $225 million. If sales grow at 6% per year, how large (in millions) will they be 5 years later? $271.74 $286.05 $301.10 $316.16 $331.96
- Tara wishes to accumulate $25,000 in 5 years. Use the appropriate formula to find the sinking fund payment (in $) she would need to make at the end of each six months, at 4% interest compounded semiannually. (Round your answer to the nearest cent.)Consider the market for meekers in the imaginary economy of Meekertown. In the absence of international trade, the domestic price of meekers is $38. Suppose that the world price of meekers is $36. Assume that Meekertown is too small to influence the world price of meekers once it enters the international market. If Meekertown allows free trade, then it will meekers. Given current economic conditions in Meekertown, complete the following table by indicating whether each of the statements is true or false. Statement True False Meekertownian consumers were better off without free trade than they are with it. Meekertownian producers were worse off without free trade than they are with it. True or False: When a country is too small to affect the world price, allowing free trade will sometimes decrease total surplus in that country, regardless of whether it imports or exports as a result of international trade. True FalseOn Monday, a certain stock closed at $10 per share. Before the stock market opens on Tuesday, you expect the stock to close at $9, $10, or $11 per share, with respective probabilities 0.3, 0.3, and 0.4. Looking ahead to Wednesday, you expect the stock to close 10 percent lower, unchanged, or 10 percent higher than Tuesday’s close, with the following probabilities. Tuesday's Close 10 Percent Lower Unchanged 10 Percent Higher $9 0.4 0.3 0.3 10 0.2 0.2 0.6 11 0.1 0.2 0.7 Early on Tuesday, you are directed to buy 100 shares of the stock before Thursday. All purchases are made at the end of the day, at the known closing price for that day, so your only options are to buy at the end of Tuesday or at the end of Wednesday. You wish to determine the optimal strategy for whether to buy on Tuesday or defer the purchase until Wednesday, given the Tuesday closing price, to minimize the expected purchase price. Develop and evaluate a decision tree. a-1. Determine the optimal…