IS: Y= C = 800+ 0.8(Y-T) I = 900-50r NX = 500 - 50€ M/P = Y-125r G = 500 T = 500 M = 6000 P = 3 r* = 8 a. Derive and graph the IS and LM curves. Use the accompanying diagram to graph the IS and LM curves by placing the endpoints at the correct location, then place po A at the equilibrium interest rate and level of income. LM: Y= equilibirum e: equilibrium Y: U equilibrium NX: 30 25 24 20 16 16 14 b. Calculate the equilibrium exchange rate, level of income, and net exports. 12 10 8 6 4 2 2.000 3.000 % IS-LM Graph 4,000 5,000 Y 15 6.000 7,000 LM 8.000 9,000
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- Using the following data, calculate the equilibrium interest rate Y=7,000G=4000T=2,000C=150+0.75(Y-T)I=1,000-50rPublic Savings = -2000Private savings = 1100National Savings = -9005. Josh wants to save for his college education. He plans to make equal monthly deposits for four years. The savings account he has chosen will pay annual interest of 2% cornpounded monthly. (1 r): - 1 a. Use the future value formula F = I(1 + r)' + A ' + A ( ¹² + 1)² - ¹) t to write an algebraic rule that expresses ? the balance at the end of four years as a function of the amount Josh deposits each month. (initial deposit is $0.00) 48 F(48 months) = 0(1+.02) " + A((1+.02) .02 - 1) 48 Unit 4.1.1 → 4.1.4 (2 b. To which function family does this function belong? Explain your choice. c. Josh wants to have $5,000 at the end of the four years. Write an equation that could be used to determine how much Josh needs to save each month, solve the equation. then (find the monthly deposit needed if you start with =0)10:42 İQIY we.l il, 63% iז Vo) LTE2 Discussions Difference between nominal and effective rates of interest ? What is the difference between Nominal Rate and Effective Rate of Interest? Is 10% per year compounded quarterly a nominal rate of interest? Reply Replies are only visible to those who have posted at least one reply. Module 4 - Nominal and Effective Interest Rates
- Question 8 In a strict linear gradient series, the value of the cáash flow at time 0 = _ and 1 = 0, 0 O 0, G 0, g G, GJ Assume that at the beginning of the year, you purchase an investment for $14,200 that pays $95 annual income. Also assume the investment's value has increased to $15,800 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places. Rate of return b. Is the rate of return a positive or a negative number? O Positive O NegativeEng. Economy Compounded 3yrs 1.Find the actual number of days from April 5, 2021 to December 5, 2021. 2.Find the approximate days between April 5, 2021 to December 5, 2021. 3.Find the ordinary interest for actual time for a $ 25,000 loan at 3 % interest. ( Use the number of days previously solve). 4.Find the ordinary interest for approximate time for a $ 25,000 loan at 3 % interest. ( Use the number of days previously solve). 5.Find the exact interest for actual time for a $ 25,000 loan at 3 % interest. ( Use the number of days previously solve). 6.Find the exact interest for approximate time for a $ 25,000 loan at 3 % interest. ( Use the number of days previously solve). 7.Find the compound amount for a $ 25,000 loan at 3 % interest. 3yrs
- The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain.e) There is a business cycle expansion, so both supply and demand shifts. After the shift, thenew demand curve is given by: D = 4000 + X − 2P, whereas the new supply curve is S =2P + 200. For which values of X will the interest increase/decrease? Which values of X arein line with empirical data?The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate?2c. Mathematically derive slope of IS curve. Prove that if investment does not depend on interest rate, the slope of IS curve is infinity.
- 4. Eleanor makes year-end deposits of 500,000 the first year, 550,000 the second year, 605,000 thethird year, and so on increasing the next year’s deposit by 10% of the deposit in the preceding yearuntil the end of the 10th year. Ronald makes equal year-end deposits of 720,00,000 each year for 10years. A.) Is the gradient of Eleanor’s payments increasing or decreasing?B.) If interest on both funds is 12% compounded annually, who will be able to save more atthe end of 10 years.ework (CIT 25) This question addresses the impact of saving on an economy by examining what happens if tax laws change to induce saving and how changes in tax laws can discourage saving. The following graph shows the market for loanable funds. Show the impact of a change in the tax law that successfully encourages saving by shifting either the demand curve (D), the supply curve (S), or both. (?) S INTEREST RATE F2 F3 11 F4 d F5 COL F6 % 。。。。 O F7 A F8 & & F9 * F10 F11 ) F12 2 Fn Lock D Insert Prt Sc + X 1:44 PM 4/29/2022 (2 D Ba2. Dan lives for only two periods. He earns real income m, in the present and mf in the future. His utility function is U(Cp,C) =6C,2/Cf. The market real interest rate is r. (a) Suppose that Dan initially cannot borrow or save. Using a diagram, illustrate and explain the case where Dan would be better off saving. (b) Now suppose that Dan can borrow and save at the market interest rate : Determine the equations for consumption in both periods and savings that maximize Dan's utility. (c) Now consider the special case where Dan earns m, in the present and is retired in the future so that mf=0. If the interest rate rises, will his present and future consumption increase, decrease, or stay the same? Will the increase in the interest rate make him save more or less? Illustrate this in a diagram. Explain your answer in reference to the income and substi tution effects. (d) Following from (c), suppose instead that Dan is eligible to receive a government pension when he retires. Illustrate and…