A stock price is currently $30. During each two-month period for the next four months it is expected to increase by 8% or decrease by 10%. No dividend payment is expected during these two periods. The risk-free interest rate is 5% per annum. Required:
Use a two-step tree to calculate the value of a European-style derivative that pays off [max(30-ST,0)] 2 , where ST is the stock price in four months

50 points mark brainliest 1) the information in the interactive presentation suggests that people a) utilize the perception of others rather that out own perception b) learn more about the positive aspects of perception c) should monitor how perceptual barriers influence our relationship d) spend more times on our personal relationships rather than our professional relationships 2) you are about to take the dog out for a walk but pause to watch the news because you hear the name of your town being mentioned hearing your town being mentioned on the news is an example of a) stimulation b) interaction c) organization d) interpretation- evaluation 3) tamara thinks ivan is upset with her because hes been unusually quiet today to better interpret the situation and communicate appropriately tamara should a) ask ivan why hes quiet and explain that hes being inconsiderate b) leave ivan alone because hes obviously going through something c) ask her guidance counselor for tips on providing therapy to a friend d) examine her own perception and then check in with ivan about his behavior 4) of the following abilities which is the most important to the perceptual checking process a) critical thinking ability b) creative ability c) memorizing ability d) organizational ability

Apharmaceutical packaging company (ppc) has decided to reorganize its processes into cells. the company has four different production operations, each requiring a unique piece of equipment. the names and functions of the four pieces of equipment are sort, count, place, and package. the company packages five different families of products (a, b, c, d, and e). the tables below indicate the demand (total units/day by product family), required operations, and operation cycle times for each product family. assume that any individual piece of equipment is available to operate 16 hours/day, but 2 hours (in total) are lost each day on each piece of equipment due to breaks and meetings when operators are not available to operate the equipment. how many minutes/day are available for production

Alpha company uses the periodic inventory system for purchase & sales of merchandise. discount terms for both purchases & sales are, 2/10, n30 and the gross method is used. unless otherwise noted, fob destination will apply to all purchases & sales. the value of inventory is based on periodic system. on january 1, 2016, beginning inventory consisted of 350 units of widgets costing $10 each. alpha prepares monthly income statements. the following events occurred during the month of jan.: dateactivitya.jan. 3purchased on account 350 widgets for $11 each.b.jan. 5sold on account 400 widgets for $30 each. paid freight out with petty cash of $150.c.jan. 10purchased on account 625 widgets for $12 each.d.jan. 11shipping cost for the january 10 purchased merchandise was $400 was paid with a cheque by alpha directly to the freight company.e.jan. 12returned 50 widgets received from jan. 10 purchase as they were not the correct item ordered.f.jan. 13paid for the purchases made on jan. 3.g.jan. 21sold on account 550 widgets for $30 each. paid freight out with petty cash of $250.h.jan. 22authorize credit without return of goods for 50 widgets sold on jan. 21 when customer advised that they were received in defective condition.i.jan. 25received payment for the sale made on jan. 5.j.jan. 26paid for the purchases made on jan. 10.k.jan. 31received payment for the sale made on jan. 21.use this information to prepare the general journal entries (without explanation) for the january events. if no entry is required then enter the date and write "no entry required."