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- Geometric gradient. C.1.) A graduating class of civil engineers decides they will present the engineering college with a gift of $100,000 at their twenty-fifth reunion. There are 50 in the class and they can invest at 8 percent. They plan to start out giving a small amount at the end of the first year and in- crease their gifts to the class fund by 10 percent each year. Find the amount each graduate would donate at the end of the first year in order to reach their class goal of $100,000 at the end of 25 years. (Ans. C= $10.03)TECHNICAL Suppose that permanent income is calculated as the average of income over the past five years – that is YP = (Y + Y-1 + Y-2 + Y-3 + Y-4 Suppose further that consumption is given by C = 0.9YP a. If you have earned $20000 per year for the past 10 years. What is your permanent income? b. Suppose that next year (period t + 1) you earn $30000. What is your new YP? c. What is your consumption this year and next year? d. What is your short run MPC and long run MPC? e. Assuming you continue to earn $30000 starting in period t+ 1, graph the value of your permanent income in each period using the initial YP equation provided above.If C = 32 + 0.90Y, how much would an individual save when income is 953? Select one: O a. 63.30 О Б.-825.7О О с. 889.70 O d. 825.70
- Q.3.4 Year (Base year) 2018 2019 2020 2021 Cost of a basket (R) of consumer goods/services Explain, with the aid of an equation, the components of the consumption function. 1850 2190 2380 25603. Sam works for Engineering Enterprises, and he is trying to analyze his cash flow throughout the following time period: Cash flows in year 1 -4 have been at a steady $1M/year. However due to the COVID pandemic in year 5 the company had to completely shut down its operations for a year. In year 6 the company was able to maintain the revenue of $1M, however there was a 15% decline in sales in the following periods. a) Draw the cash flow diagram b) Based on PW analysis and an interest rate of 5%, overall, how did the company perform during the 8-year study period? c) Convert your answer to AW based on your answer from part b)1. Consumption and saving definitions Suppose Karen gets a sales bonus at her place of work that gives her an extra $600 of disposable income. She chooses to spend $480 and save the remaining $120. Mathematically, it must always be true that: Consumption = =
- Refer to the following figure. The equation for this household's saving function is Saving -300 1,000 saving Income3. Suppose we are in a society where the social rate of time preference is 5% per year. The discount rate of utility is 3.5% per year, and the elasticity of marginal utility of consumption is 1.25. A. What is the assumed growth rate of future consumption under this scenario? B. Now assume the social rate of time preference changes to 10% while all else stays the same. What is the assumed new growth rate of future consumption? C. What does a SRTP of 5% mean compared to a SRTP of 10%? D. Why does the growth rate of future consumption change from one scenario to the other? ( If you Answer allow the above I will upvot definitely . ) Thank you3. Suppose we are in a society where the social rate of time preference is 5% per year. The discount rate of utility is 3.5% per year, and the elasticity of marginal utility of consumption is 1.25. A. What is the assumed growth rate of future consumption under this scenario? B. Now assume the social rate of time preference changes to 10% while all else stays the same. What is the assumed new growth rate of future consumption? C. What does a SRTP of 5% mean compared to a SRTP of 10%? D. Why does the growth rate of future consumption change from one scenario to the other? Answer C & D
- Consumption/Savings 1000 800 600 400 200 0 -200 Select one: 200 400 600 800 1000 1200 1400 1600 S Refer to the graph above to answer this question. What is the equation for the saving function? A. S=200+ 0.4Y. B. S=-200+ 0.6Y. X C. S-200+ 0.8Y. OD. S-200 +0.2Y. OE. S=200 - 0.2Y. IncomeAssume there are no investment projects in the economy that yield an expected rate of return of 25 percent or more. But suppose there are $10 billion of investment projects yielding expected returns of between 20 and 25 percent; another $10 billion yielding between 15 and 20 percent; another $10 billion yielding between 10 and 15 percent; and so forth. a. Cumulate these data and present them graphically using the graph below, putting the expected rate of return (and the real interes rate) on the vertical axis and the amount of investment on the horizontal axis. Instructions: Use the tool provided 'ID' to plot the investment demand curve (plot 6 points total). 30 Tools ID 20 15 10 10 20 30 40 50 60 Investment (billions of dollars) Instructions: Enter your answers as a whole number. b. What will be the equilibrium level of aggregate investment if the real interest rate is: 15 percent: $ billion 10 percent: $ billion 5 percent: $ billion Expected rate of return, percent 25Interest 6% lonable fund is 4trillion. Suppose there was a change in the tax laws to encourage savers to save more and as a result, assume the equilibrium interest rate falls by 2 % point. By how much the equilibrium loanable funds saved and invested would rise or fall?