ASSIGNMENT 1MGF 301Corporation FinanceSpring 2010DUE: Wednesday, February 9th at 3:30pm in Jacobs 365You may in a group of up to 4 on this Assignment. Please indicate clearly on all submitted Assignments who the members of the group are. Please note, all assignments submitted with more than 4 group members will automatically receive a 0 grade. No late assignments will be accepted. You may hand in the assignment in person in Jacobs 365 (put it under the door if no one is there) or submit it by email to the SafeAssign link in the Assignments section of UBLearns. Note: If you use Electronic submission, please follow all the rules for UBLearns Assignment submissions in the Syllabus.________________________________________________________________________________________________________Answer all of the following questions. For each answer, show your work to get full points (stating the answer alone is not sufficient).1. If your last name start with A-K, you should select one stock that you believe will go up in value the most over the semester. If your last name starts with L-Z, you should select three stocks that youbelieve will go up the most over the semester. Once you have selected your stocks, join the class group "MGF310 Assign1" at Smartstocks.com and buy the stock(s) you have selected. To buy stocks at Smartstocks.com, you need to first create an account. Use whatever name and password you want to create this account (note: you do not have to use your name or any real information about yourself). This account is free to create and you do not need to sign up for any of the services offered. Once you have created an account, click on "Group Features" on the left side of the screen toenter the group section. Then click on "Join a Group". Scroll through the list to find MGF301 Assign 1 and enter the password: mgf301. If you then go to "Portfolio" you should then see that youare a member of the group.To buy stock, find the ticker symbol from an online source such as Yahoo Finance and enter the ticker symbol with the number of shares you wish to purchase. If you are buying one stock, put at least 950,000 into the one stock. If you are buying three stocks, put at least 300,000 into each of the three stocks.Please include your userid and the stock you bought as your answer to question 1 on this assignment.Note: please do not do any further trading in this account for the remainder of the semester - we are running an experiment that we will evaluate throughout the semester.2. Your uncle died last year and left you money in his will. You are to receive $300,000 four years from today (i.e., in time 4). (a) What is the value of the inheritance today (in time 0) if the appropriate discount rate is 4% and you compound annually?(b) If you invest the money when you receive it in time 4, how much will it grow to 50 years from today (i.e., in time 50) if you earn 4% each year?3. Your neighbor is buying a new recreational vehicle (RV). He has the following options to financethe RV:I. Pays $55,000 today (in time 0)II. Buy under a delayed payment program requiring payments of $11,000 in time 1, $12,000 in time 2, $13,000 in time 3 and $14,000 in time 4 and $15,000 in time 5. III. Make 72 monthly payments over 6 years of $900 payable at the end of each month.(a) If the interest rate is 6.5% annually, calculate the present value of each option.(b) What is the interest rate where Option I and Option II have the same present value?4. (a) If you will be making equal deposits into a retirement account for the next 10 years (with each payment at the end of the year 1 through 10), how much must you deposit each year if the account earns 5% compounded annually and you wish the account to grow to $300,000 45 yearsfrom today (in time 45)? (b) How does your answer change if the account pays interest compounded monthly at an annual rate of 5%? Note: use monthly compounding for all calculations.5. (a) You belong to an unusual pension plan because your retirement payments will continue forever (and will go to your descendants after you die). If you will receive $36,000 per year at the end of each year starting 40 years from now, what is the present value of your retirement plan if the discount rate is 3.5%?(b) How does your answer change if you receive $3,000 per month every month starting 40 years from today (in monthly time period 480) and the discount rate is still