The following prices are available for call and put options on a stock priced at $50. The risk-free rate is 6 percent and the volatility is 0.35. The March options have 90 days remaining and the June options have 180 days remaining. The Black-Scholes model was used to obtain the prices. Calls Puts Strike March June March June 45 6.84 8.41 1.18 2.09 50 3.82 5.58 3.08 4.13 55 1.89 3.54 6.08 6.93 Assume that each transaction consists of one contract (for 100 shares) unless otherwise indicated. Suppose an investor expects the stock price to remain at about $50 and decides to execute a butterfly spread using the June calls. What will be the cost of the butterfly spread

You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† your mansion has 150 light fittings and 3000 sq ft of uninsulated exterior wall. to impress your friends, you would like to spend as much as possible, but save no more than $750 per year in energy costs (you are proud of your large utility bills). how many compact fluorescent light bulbs and how many square feet of insulation should you purchase? how much will you save in energy costs per year? (if an answer does not exist, enter dne.)

The hartman family is saving $400 monthly for ronald's college education. the family anticipates they will need to contribute $20,000 towards his first year of college, which is in 4 years .which best explain s whether the family will have enough money in 4 years ?

At the end of year 2, retained earnings for the baker company was $3,550. revenue earned by the company in year 2 was $3,800, expenses paid during the period were $2,000, and dividends paid during the period were $1,400. based on this information alone, retained earnings at the beginning of year 2 was: