Using the following data, calculate the equilibrium interest rate Y=7,000 G=4000 T=2,000 C=150+0.75(Y-T) I=1,000-50r Public Savings = -2000 Private savings = 1100 National Savings = -900
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Using the following data, calculate the equilibrium interest rate
Y=7,000
G=4000
T=2,000
C=150+0.75(Y-T)
I=1,000-50r
Public Savings = -2000
Private savings = 1100
National Savings = -900
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- Problem 2 Suppose you purchased a house and took a 30 -year mortgage. The mortgage is unusual: you pay yearly, not monthly. The yearly payment is$17,000and the interest rate is4.2%. What is the amount of mortgage you took? (Round to two decimals.) Hint: find the PV of all the payments.Suppose that you earn $320 in year 1 and will ean $720 in year 2. If you borrow money against your future income you will have and additional $576 to spend in year 1, and if you lend all of your current income you will have and additional $400 to spend in year 2. In both years you consume only food which costs $1 per kilogram in each year. What is the interest rate that you borrow and lend at? R= Let your MRS for food in year 1 with food in year 2 be given by the formula where F is the amount of food consumed this year and F is the amount of food consumed next year. Calculate your consumption bundle: F = F = Suppose the interest rate at which you can borrow and lend changes to 20%. Calculate your new consumption bundle: F = F2 = Which interest rate is preferred? The initial interest rate found in part 1 O The new interest rate, 20%Calculate personal Savings if :- Personal Consumption Expenditure = $9800 Personal disposable income = $12,000
- Suppose that you eam $250 in year 1 and will ean $448 in year 2. If you borrow money against your future income you will have and additional $400 to spend in year 1, and If you lend all of your current income you will have and additional $280 to spend in year 2. In both years you consume only food which costs $1 per kilogram in each year. What is the interest rate that you borrow and lend at? R= F2 where F is the amount of food consumed this F1 Let your MRS for food in year 1 with food in year 2 be given by the formula year and Fo is the amount of food consumed next year. Calculate your consumption bundie: F1 = F2 = %3! Suppose the interest rate at which you can borrow and lend changes to 40%. Calculate your new consumption bundle: %3D Which interest rate is preferred? O The initial interest rate found in part 1 The new interest rate, 40%assume elsa has current income of $50000 and expects income of $60000 next period. interest rate is 6% elsa desires to have the same amount of consumption expenditure during both periods. in the two period certainty framework, determine how much elsa's expenditures are during each period is elsa a saver or spenderThe 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?
- 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?What is the definition of internal rate of return (IRR)? If you expect the annual interest rates are much different in the next 10 years, would the IRR be the ideal measure? Why or why not?Sally will eam S33,000 this year and $42,000 next year. The real interest rate is 25% between this year and next year; she can borrow or save at this rate. She has no wealth at the start of this year and plans to finish next year having consumed everything she possibly can. She would like to consume the same amount this year as next year. How much should Sally save (or borrow) this year? save $4500 O save $4000 O borrow $4500 O borrow $4000
- Automobile repair shops typically recommend that their customers change their oil and oll filter every 4.500 miles. Your automobile user's manual suggests changing your oil every 6,500-8,000 miles. If you drive your car 87,750 miles each year and an oil and filter change costs S34, how much money would you save each year if you had this service performed every 6.500 miles? Your savings will be $ per year. (Round to the nearest cent.Y Enter your answer in the answer boxSuppose that Anna's college education would cost around $500,000 when they enter college in 15 years. At present, She have $100,000 to invest.What annual interest must she earn on her investment to cover the costThe YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %