A scammer offers you a "deal" by which you can invest your money with them and earn returns. The scammer "explains": "you actually earn the same return that the S&P500 produces on a given day and a premium which is directly proportional to the value of your investment that day". After rejecting the scammer's proposal, you were left curious to model the ludicrous scheme of the scammer. At home, you work out the numbers in your computer: you call I (t) the value of an investment that follows the scammer's, with t in days; and you denote by S(t) the return rate of the S&P500 (e.g. if the S&P went up 3% on a day to, then S(to) = 0.03). Which of the following differential equations models the scammer's scheme? O di O dt. = (S(t) + K)I(t) = KS(t)I(t) S(t) + KI(t) = (1 + S(t) + K)I(t)

From 1929 through the early 1930s, the prices of consumer goods actually decreased. Economists call this phenomenon deflation. The rate of deflation during this period was about 7% per year, meaning that prices decreased by 7% per year. To get a sense of what this rate would mean in the long run, let's suppose that this rate of deflation persisted over a period of 20 years. What would be the cost after 20 years of an item that costs $500 initially? (Round your answer to the nearest cent.)

KINDLY HELP ME WITH THIS. THANK YOU SO MUCH  Brenda Company is involved in the production and selling of consumer goods, particularly beauty products such as bath soap and shampoo, and had registered a positive profit growth for the last 10 years. However, the current year seems to be different from those years as the company is expecting a decline in profit; which is estimated to be about 70% below the target. The manager now is in a dilemma … asking himself/herself “What happened, why this decline in profit?” The Manager then asked the company Accountant to give him/her the data on sales and advertising cost for the last 10 years – he/she wants these data to determine whether the company can live without advertising, as advertising cost happens to be substantial. If you are the company Manager, what will be your decision about advertising? Justify your answer by doing a step-by-step procedure in Correlation Analysis using a 0.05 level of significance. The data are as follows –

The current price of a certain stock is £32, and a 3-month European call option with a strike of £33 costs £3.20. You believe that this stock will rise sharply in the coming months, so you would like to invest £6,400 in either the stock or options. What is the potential profit and loss from each alternative investment if the share price rises to £40 at expiration? What if the share price goes down to £25 at expiration? Draw a graph to represent your profit and loss profile of the option investment. Show in your graph the strike price, the breakeven point, and the potential maximum loss.

suppose the rate of return for a particular stock during the past two years was 10% for one of the years and 30% for the other year. Compute the geometric rate of return per year. (note: A rate of return of 10% is recorded as 0.10, and a rate of return of 30% is recorded as 0.30)

This year, FCF Inc. has earnings before interest and taxes of $9,710,000, depreciation expenses of $1,000,000, capital expenditures of $1,200,000, and has increased its net working capital by $600,000. If its tax rate is 35%, what is its free cash flow? The company's free cash flow is $. (Round to two decimal places.)

Find the interest rate r if the PV of $8000 to be received in 1 year is $7300.

An interest rate of 15% is used to evaluate a new system that has a first cost of $212,400, annual operating and maintenance costs of $41,200, annual savings of $94,600, a life of 6 years, and a salvage value of $32,500. After initial evaluation, the firm receives word from the vendor that the first cost is 5% higher than originally quoted. The percentage error in the system's present worth from this is closest to what value?

Ross White’s machine shop uses 2500 brackets during the course of a year, and this usage is relatively constant throughout the year. These brackets are purchased from a supplier 100 miles away for $15 each, and the lead time is 2 days. The holding cost per bracket per year is $1.50 (or 10% of the unit cost) and the ordering cost is $18.75. There are 250 working days per year. Ross White recognizes that although he knows the lead time is 2 days, the average daily demand usually varies. Ross has kept careful records and has determined that the average daily demand is normally distributed with a standard deviation of 2.5 units. If Ross would like to maintain a service level of 90 %, what should his re-order point be?

A person wants to earn the profit of $200,000 from his three goods next year. Product A gives him a profit of $100 and has an expected growth of 10% per year. Product B provides a profit of $200 and has an expected growth of 5% per year. Product C provides a profit of $150 and has an expected growth of 8% per year. The person plans to sell two times of product C as of product B. If the person estimated a total growth of 12% per year in his profits, how many of each product should the person sell in a year? the answer is A: 1931, B: 14, C: 28