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- What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two months. An investor purchases 100 shares of A and invests all dividends received at a continuosuly compunded risk-free rate of 5%. After 3 months the stock is sold when the price is $35.40/share. Calculate the 3-month profit.State the formula for the Present Value of a Continuous Stream of Income.
- (ii) A state predicts that it will need $2.15 billion for construction of new roads and maintenance of existing roads in year 2025. It is forecast that 1.5 percent of the vehicle-fleet in that year will be electric vehicles with the remaining being gas powered vehicles. The population of the state is forecast to be 10 million persons in 2025 with the average number of vehicles owned per person being 0.75. It is projected that on average each vehicle will be driven 12,000 miles per year, with gas powered vehicles achieving an average gas consumption of 25 miles per gallon (mpg). If the state plans to raise 99 percent of the required revenue from gas powered vehicles and the remainder from electric vehicles, (a) Determine how much each gallon of gas sold should be taxed to achieve the revenue target (b) Determine what the annual flat tax for each electric vehicle should be to raise the appropriate revenue target; (c) If the state decides to raise the required revenue based on a tax per…2. An insurance company uses the model above to calculate premiums for a special T-year term life insurance policy. The basic sum insured is $100,000, but the death benefit is $150,000 if death occurs as a result of an accident. The death benefit is payable immediately on death. Premi- ums are payable continuously throughout the term. The effective rate of interest is 3% per year and there are no expenses. The policy is issued to a life aged 35. 毎回 (ii) (iii) calculate the annual premium for this policy calculate the policy value at time 1, 2, 1-2, 1-1 and t in state Q comment on the results in (ii)3.) Suppose that deflation occurs in the U.S. economy and that the CPI (as a measure of f) is expected to decrease an average of 1% per year for the next five years. A bond with a face (par) value of $10,000 and a life of five years (i.e., it will be redeemed in five years) pays an interest (bond) rate of 4% per year. The interest is paid to the owner of the bond once each year. If an investor expects a real rate of return of 3% per year, what is the maximum amount that should be paid now for this bond?
- (d) the new producer surplus= (e) the deadweight loss.=13. Silvester claims an eatery and needs to decide his normal income over a long- term period. After all expenses were paid, his yearly pay was as per the following: Year Amount $7,150 1970 1971 7,335 %3D 1972 6,520 1973 6,600 1974 6,600 1975 7,025 1976 7,810 %3D Total for 7 years S49,040. Find his average yearly income.An electronics company had sales of $25,000,000 in the year just completed. Sales are expected to decline by 3% per year for the next three years un�l new drugs, now under development, receive regulatory approval. Then sales should grow at 7% per year for the next four years. What are the expected sales for the final year of the seven-year period? [
- Your uncle has $90,000 that he wishes to invest now in order to use the accumulation for purchasing a retirement annuity in three years. After consulting with his financial advisor, he has been offered two types of investments, labeled as investments A and B. • Investment A is available every year and its maturity period is 1 year. Each dollar invested in A at the beginning of a year returns $1.12 (a profit of $0.12) at the end of the year, in time for immediate reinvestment. • Investment B is only available in the beginning of year 2 and its maturity period is 2 years. Each dollar invested in B at the beginning of year 2 returns $1.30 two years later. Formulate this investment planning problem as a linear programming model for your uncle to maximize the amount of money that can be accumulated at the end of three years. You may implement this problem into excel directly.Suppose that JB Cos. has a capital structure of 78 percent equity, 22 percent debt, and that its before-tax cost of debt is 13 percent while its cost of equity is 17 percent. Assume the appropriate weighted-average tax rate is 21 percent and JB estimates that they can make full use of the interest tax shield. What will be JB's WACC? (Round your answer to 2 decimal places.A universal life policy is issued to a life aged 45. Death benefit is 10,000 and the policyholder pays an annual premium of 200 at the beginning of each year. Expense charges are 30% of first year premium and 5% of renewal premiums. Interest credited is 6% per year and interest assumed in the cost of insurance is 4% per year. Cost of insurance is based on Makeham's mortality, H = 0.01+0.0001(1.05*). The account value at the beginning of the 7th year, before any premium is paid, is 1,500. Calculate, to the nearest integer, the account value at the end of the 7th year.