FINA 3000- Final Exam Guide - Comprehensive Notes for the exam ( 129 pages long!)

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amberseal891

1 Dec 2017

School

University of Georgia

Department

Finance

Course

FINA 3000

Professor

Pope

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If we add a few definitions, we can move cash flows across time . A lump sum is a single cash flow at one point in time . also called an amount. We need to define four terms: pv, fv, n, and r. Pv = present value = value of cash flow today. Fv= future value = value of a cash flow at time n. Fv= pv x ( 1 + r )1. Fv= 100 x (1 + . 05) = 105. The single period problem asks you to move cash flows ahead or back one period (usually one year). The risk attached to a cash flow is measured in i. R = interest rate = risk free return (opportunity cost) = bonus return for investment risk. No tow investments carry the same risk; the greater the risk, the more interest you receive. Suppose you need ,000 one year from today to make a down payment on your house.

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Ted Christensen, a second-year business student at the University of Utah, will graduate in two years with an accounting major and a Spanish minor. Christensen is trying to decide where to work this summer. He has two choices: work full-time for a bottling plant or work part-time in the accounting department of a meat-packing plant. He probably will work at the same place next summer as well. He is able to work 12 weeks during the summer. The bottling plant would pay Christensen $380 per week this year and 7% more next summer. At the meat-packing plant, he would work 20 hours per week at $8.75 per hour. By working only part time, he would take two accounting courses this summer. Tuition is $225 per hour for each of the four-hour courses. Christensen believes that the experience he gains this summer will qualify him for a full-time accounting position with the meat-packing plant next summer. That position will pay $550 per week. FN3140: Module 6 Investment Decisions Analysis 6.1 Impact of Interest Rate and Time Value of Money 2 Christensen sees two additional benefits of working part time this summer. First, he could reduce his studying workload during the fall and spring semesters by one course each term. Second, he would have the time to work as a grader in the universityâs accounting department during the 15- week fall term. Grading pays $50 per week.

ï· Based on your reading, answer the given questions:

o Suppose that Christensen ignores the time value of money in decisions that cover such a short time period. Suppose also that his sole goal is to make as much money as possible between now and the end of next summer. What should he do? What nonquantitative factors might Ted consider? What would you do if you were faced with these alternatives?

o Now, suppose that Christensen considers the time value of money for all cash flows that he expects to receive one year or more in the future. Which alternative does this consideration favor? Why?

yellowshark422

BUSI 320 Comprehensive Problem 3 SUMMER D

Use what you have learned about the time value of money to analyze each of the following decisions:

Decision #1: Which set of Cash Flows is worth more now?

Assume that your grandmother wants to give you generous gift. She wants you to choose which one of the following sets of cash flows you would like to receive:

Option A: Receive a one-time gift of $ 9000 today.

Option B: Receive a $1400 gift each year for the next 10 years. The first $1400 gift would be

received 1 year from today.

Option C: Receive a one-time gift of $18,000 10 years from today.

Compute the Present Value of each of these options if you expect the interest rate to be 3% annually for the next 10 years. Which of these options does financial theory suggest you should choose?

Option A would be worth $__________ today.

Option B would be worth $__________ today.

Option C would be worth $__________ today.

Financial theory supports choosing Option _______

Compute the Present Value of each of these options if you expect the interest rate to be 7% annually for the next 10 years. Which of these options does financial theory suggest you should choose?

Option A would be worth $__________ today.

Option B would be worth $__________ today.

Option C would be worth $__________ today.

Financial theory supports choosing Option _______

Compute the Present Value of each of these options if you expect to be able to earn 10% annually for the next 10 years. Which of these options does financial theory suggest you should choose?

Option A would be worth $__________ today.

Option B would be worth $__________ today.

Option C would be worth $__________ today.

Financial theory supports choosing Option _______

Decision #2 begins at the top of page 2!

Decision #2: Planning for Retirement

Tom and Tricia are 22, newly married, and ready to embark on the journey of life. They both plan to retire 45 years from today. Because their budget seems tight right now, they had been thinking that they would wait at least 10 years and then start investing $1800 per year to prepare for retirement. Tricia just told Tom, though, that she had heard that they would actually have more money the day they retire if they put $1800 per year away for the next 10 years - and then simply let that money sit for the next 35 years without any additional payments â then they would have MORE when they retired than if they waited 10 years to start investing for retirement and then made yearly payments for 35 years (as they originally planned to do). Please help Tom and Tricia make an informed decision:

Assume that all payments are made at the END of the year, and that the rate of return on all yearly investments will be 8% annually.

(Please do NOT ROUND when entering âRatesâ for any of the questions below)

How much money will Tom and Tricia have in 45 years if they do nothing for the next 10 years, then put $1800 per year away for the remaining 35 years?

How much money will Tom and Tricia have in 10 years if they put $1800 per year away for the next 10 years?

b2) How much will the amount you just computed grow to if it remains invested for the remaining

35 years, but without any additional yearly deposits being made?

c)How much money will Tom and Tricia have in 45 years if they put $1800 per year away for each of the next 45 years? (This amount can be referred to as their âretirement nest eggâ)

Using your solution to question C, what is the value in today's dollars, assuming 3% average inflation, of Tom and Tricia's retirement nest egg? (âTodayâ Tom and Tricia are 22 years old. Retirement is 45 years away!)

e)If Tom and Tricia wait 25 years (after the kids are raised!) before they put anything away for retirement, how much will they have to put away at the end of each year for 20 years assuming an annual interest rate of 8% in order to have $700,000 saved up on the first day of their retirement 45 years from today?

violetmuskrat25

Assume that you are nearing graduation and that you have appliedfor a job with a local bank. As part of the bankâs evaluationprocess, you have been asked to take an examination that coversseveral financial analysis techniques. The first section of thetest addresses time value of money analysis. See how you would doby answering the following questions:

a. Drawcash flow time lines for (1) a $100 lump-sum cash flow at the endof Year 2, (2) an ordinary annuity of $100 per year for threeyears, (3) an uneven cash flow stream of $50, $100, $75, and $50 atthe end of Years 0 through 3.

b. (1)What is the future value of an initial $100 after three years if itis invested in an account paying 10%annual interest?

(2) What is the present value of $100 to bereceived in three years if the appropriate interest rate is10%?

c. Wesometimes need to find how long it will take a sum of money (oranything else) to grow to some specified amount. For example, if acompanyâs sales are growing at a rate of 20%per year, approximatelyhow long will it take sales to triple?

d. Whatis the difference between an ordinary annuity and an annuity due?What type of annuity is shown in the following cash flow time line?How would you change it to the other type of annuity?

0 1 2 3

100 100 100

e. (1)What is the future value of a 3-year ordinary annuity of $100 ifthe appropriate interest rate is 10%?

(2) What is the present value of the annuity?

(3) What would the future and present values be ifthe annuity were an annuity due?

f. What is the present value of the following uneven cash flow stream?The appropriate interest rate is 10%, compounded annually.

0 1 2 3 4

100 300 300 150

g. Whatannual interest rate will cause $100 to grow to $125.97 in 3years?

h. (1)Will the future value be larger or smaller if we compound aninitial amount more often than annuallyâfor example, every 6months, or semiannuallyâholding the stated interest rateconstant? Why?

(2) Define the stated, or quoted, or simple, rate,(r_SIMPLE), annual percentage rate (APR), the periodicrate (r_PER), and the effective annual rate(r_EAR).

(3) What is the effective annual rate for a simplerate of 10%, compounded semiannually? Compounded quarterly?Compounded daily?

(4) What is the future value of $100 after threeyears under 10%semiannual compounding? Quarterly compounding?

i. Will the effective annual rate ever be equal to the simple (quoted)rate? Explain.

j. (1) What is the value at the end of Year 3 of thefollowing cash flow stream if the quoted interest rate is 10%,compounded semiannually?

0 1 2 3

100 100 100

(2) What is the PV of the same stream?

(3) Is the stream an annuity?

(4) An important rule is that you should nevershow a simple rate on a time line or use it in calculations unlesswhat condition holds? (Hint: Think of annual compounding,when r_SIMPLE = r_EAR = r_PER.) Whatwould be wrong with your answer to parts (1) and (2) if you usedthe simple rate 10%rather than the periodic rater_SIMPLE/2 = 10%/2 = 5%?

k. (1)Construct an amortization schedule for a $1,000 loan that has a10%annual interest rate that is repaid in three equalinstallments.

(2) What is the annual interest expense for theborrower, and the annual interest income for the lender, duringYear 2?

l. Suppose on January 1 you deposit $100 in an account that pays asimple, or quoted, interest rate of 11.33463%, with interest added(compounded) daily. How much will you have in your account onOctober 1, or after 9 months?

m. Now suppose youleave your money in the bank for 21 months. Thus, on January 1 youdeposit $100 in an account that pays a 11.33463%compounded daily.How much will be in your account on October 1 of the followingyear?

n. Suppose someone offered to sell you a note that calls for a $1,000payment 15 months from today. The person offers to sell the notefor $850. You have $850 in a bank time deposit (savings instrument)that pays a 6.76649%simple rate with daily compounding, which is a7%effective annual interest rate; and you plan to leave this moneyin the bank unless you buy the note. The note is not riskyâthat is,you are sure it will be paid on schedule. Should you buy the note?Check the decision in three ways: (1) by comparing your futurevalue if you buy the note versus leaving your money in the bank,(2) by comparing the PV of the note with your current bankinvestment, and (3) by comparing the r_EAR on the notewith that of the bank investment.

o. Suppose the note discussed in part n, above, costs $850, but callsfor five quarterly payments of $190 each, with the first paymentdue in 3 months rather than $1,000 at the end of 15 months. Wouldit be a good investment?

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FINA 3000- Final Exam Guide - Comprehensive Notes for the exam ( 129 pages long!)

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