60) Suppose that the forecast for next year's annual inflation rate is a = 5%, and for the annual interest rate is i = 4%. a) What will be the corresponding real rate of interest for the next year? b) Using the values of a and i in part a), suppose you borrow $10 000 for a year at i = 4% and buy 5000 units of a certain item that has a current cost of $2 per unit. If the price of this item is tied to a rate of inflation, a = 5%, and you sell the items one year from now at the inflated price, what will be your net gain on this transaction?
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- The index number representing the price level changes from 110 to 115 in one year and then from 115 to 120 the next year. Since the index number increases by five each year, is five inflation rate each year? Is the inflation rate the same each year? Explain your answer.Your rich aunt is going to give you an end-of-year gift of $1,000 for each of the next 10 years. Solve, a. If general price inflation is expected to average 6% per year during the next 10 years, what is the equivalent value of these gifts at the present time? The real interest rate is 4% per year. b. Suppose that your aunt specified that the annual gifts of $1,000 are to be increased by 6% each year to keep pace with inflation. With a real interest rate of 4% per year, what is the current PW of the gifts?Knowing that the average annual accumulated inflation in 2018 was 3.75%, calculate how much the annual real interest on the Treasury Selic investment was - considering that the rate, discounting the Income Tax, was approximately 5.43% in the year.
- Suppose that you just purchased a used carworth $8,000 in today’s dollars. Suppose also thatyou borrowed $8,000 from a local bank at 9% compounded monthly over two years. The bank calculated your monthly payment at $365.48. Assumingthat average general inflation will run at 0.5% permonth over the next two years,(a) Determine the monthly inflation-free interestrate (i′) for the bank.(b) What equal monthly payments (in terms of constant dollars over the next two years) are equivalent to the series of actual payments to be madeover the life of the loan?You earn a nominal return of 6% on your savings and the tax rate is 20%. If the rate of inflation is 2%, what are the before-tax real interest rate and your after-tax rate of return? please write down the solution precisely ( especially after-tax rate of return)Suppose that you just purchased a used car worth $14.000 in today's dollars. Assume also that. to finance the purchase. you borrowed $12,000 from a local bank at 8% compounded monthly over two years. ·n1e bank calculated your monthly payment at $542.36. Assume that average general inflation will run at I% per month over the next two years.(a) Determine the annual inflation-free interest rate (i') for the bank.(b) What equal monthly payments, in terms of constant dollars over the next two years, arc equivalent to the series of actual payments to be made over the life of the loan?
- The real risk-free rate is 4%. Inflation is expected to be 3% this year, 4% next year, and then 3% thereafter. The maturity risk premium is estimated to be 0.0003 x (t - 1), where t = number of years to maturity. What is the nominal interest rate on a 7-year Treasury security? Do not round intermediate calculations. Round your answer to two decimal places.If you deposit $10,000 in a bank account that pays a 2% interest compounded monthly for five years,what would be your economic loss if the general inflation rate is 3% during that period?Assume that the economy has an annual inflation rate of 5 percent. Are the followinginvestments profitable in real terms? (d) The spot price of silver is $31 per ounce. You purchase 50 ounces of silver for $1,600,in order to compensate the merchant. Over the year, the spot price of silver rises to $34per ounce, and you are able to sell the silver you have at the spot price. (e) You purchase a Non-Fungible Token (NFT) for $98 million. The following year, you are able to sell it for $102.5 million.
- 1. Suppose you’ll have an annual nominal income of $40,000 for each of the next 3 years, and theinflation rate is 5 percent per year. a. Find the real value of your $40,000 salary for each of the next 3 years. b. Suppose you have a COLA (Cost of Living Adjustment) of 5 percent per year in yourcontract, which raises your $40,000 salary by 5 percent for each of the next 3 years. Giventhe 5 percent inflation rate for each of those 3 years, what is the real value of your salary foreach year?The purchasing power (real value of money) decreases if inflation is present in the economy. For example, the purchasing power of $33,000 after t years of 8% inflation is given by the model P=33,000e−0.08t dollars. How long will it take for the value of a $33,000 pension to have a purchasing power of $16,500 under 8% inflation?If you deposit $12,000 in a bank account that pays a 4% interest compounded monthly for five years, what would be your economic loss if the general inflation rate is 5% during that period?