You have a loan outstanding. It requires making seven annual payments of $ 4 comma 000 each at the end of the next seven years. Your bank has offered to restructure the loan so that instead of making the seven payments as originally agreed, you will make only one final payment in seven years. If the interest rate on the loan is 10 %, what final payment will the bank require you to make so that it is indifferent to the two forms of payment?

Consider the following two stocks, a and b. stock a has an expected return of 10%, 10% standard deviation, and a beta of 1.20. stock b has an expected return of 14%, 25% standard deviation, and a beta of 1.80. the expected market rate of return is 9% and the risk-free rate is 5%. security would be considered a good buy if we include the stock in a well diversified a portfolio because a. b, it offers better alpha b. a, it offers better alpha c. a, it offers better sharpe ratio d. b, it offers better sharpe ratio

Self-interest achieve society’s economic goals because producers know which goods consumers want the most. as consumers and producers exercise their freedom to act in their own self-interest, markets will produce the desired goods at the lowest possible cost. consumers and producers both operate based on society’s economic goals. consumers know which goods can be produced at the lowest cost. there is a wide variety of desired goods and services in a market system because producers determine what to produce. consumers change their minds frequently. there is always a need to produce something new and improved. individual wants are diverse. what is produced is ultimately determined by consumers, because if the goods offered are not what consumers want, consumers will not buy them. producers, because they are driven by profits. producers, because they determine what to produce. consumers, because they participate in marketing surveys.

Lavage rapide is a canadian company that owns and operates a large automatic car wash facility near montreal. the following table provides data concerning the company’s costs: fixed cost per month cost per car washed cleaning supplies $ 0.70 electricity $ 1,400 $ 0.07 maintenance $ 0.15 wages and salaries $ 4,900 $ 0.30 depreciation $ 8,300 rent $ 1,900 administrative expenses $ 1,400 $ 0.03 for example, electricity costs are $1,400 per month plus $0.07 per car washed. the company expects to wash 8,000 cars in august and to collect an average of $6.50 per car washed. the actual operating results for august appear below. lavage rapide income statement for the month ended august 31 actual cars washed 8,100 revenue $ 54,100 expenses: cleaning supplies 6,100 electricity 1,930 maintenance 1,440 wages and salaries 7,660 depreciation 8,300 rent 2,100 administrative expenses 1,540 total expense 29,070 net operating income $ 25,030 required: calculate the company's revenue and spending variances for august.