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business
principles corporate finance
Questions and Answers of
Principles Corporate Finance
Time value of money. Explain why this concept is so important in business.What are the potential pitfalls you may encounter if you fail to correctly account for the time value of money?
Simple versus compound interest. Briefly discuss the differences between simple and compound interest. How do these differences affect both the present and future values of cash flows?
Compounding versus discounting. What is the difference between compounding cash flows and discounting cash flows? Give an example of when you would use each.
Lump sums and interest rates. What is the relationship between interest rate changes and present values? What about future values? Why do these relationships exist?
Lump sums and time periods. What is the relationship between time periods and present values? What about future values? Why do these relationships exist?
Annual percentage rate. What is the APR? How is it calculated, and what is its influence on present and future values?
EAR and APR. Discuss the difference between the effective annual return(EAR) and the annual percentage rate (APR). Discuss the advantages and disadvantages of both rates and possible situations where
More frequent compounding. What is the relationship between the number of compounding periods per year and present values? What about future values?Why do these relationships exist?
Ordinary annuity. What are the four characteristics of an ordinary annuity?Give two real-life examples of an annuity.
Annuities, interest rates, and time periods. Discuss the relationships between the interest rate and the present and future value of annuities. What about the relationship between time periods and
Interest rates. Suppose you have $1,000 to invest and are considering two alternative options. Option 1 has an APR of 10%, compounded quarterly, while option 2 has an APR of 12%, compounding
Annuities and lump sums. What is the difference between investing $120 at the end of the year and investing $10 at the end of each month of that same year?
Loan types. What are the basic characteristics of the three loan types: pure discount, interest-only, and amortized loans. How do they differ? In what instances would you expect to see each of these?
Future value. Suppose you have $5,000 to invest. If you invest it in an account earning 5.5% annually over the next ten years, what will it be worth at the end of those ten years?
Present value. If you are to receive a lump sum payment of $1,430 in eight years, what is it worth today? Suppose the APR is 14%, compounded annually?
Present value. You are to receive $13,900. You will receive it at the end of 23 years from now. If the APR is 6%, compounding monthly, what is the present value of the lump sum?
Future value. Suppose you have $3,598 and want to invest it at 8%, compounded quarterly. How much money would you have at the end of 25 years?
Future value. You just found a wallet laying on the ground outside of the business school. Being a selfish and immoral person, you keep the $300 you find inside. However, being knowledgeable of the
Present value. Suppose you just received an inheritance of $25,000, but you can’t get it until you’re 21.Assume you are now only 13 years old. If the interest rate is 4.5% APR, compounded
Future value. You recently won a drawing at work with a grand prize of$1,000. Being wise in the ways of finance, upon winning you immediately invest it in one of those online savings accounts that
Present value. You have just bought an Andrew Luck rookie card. Assume you can jump in your time machine and see that he will turn out to be the greatest quarterback to ever play the game. As such,
Time period. You’re a boating enthusiast. You have recently found the vessel of your dreams, a 20-foot, 500-horsepower piece of nautical delight.However, it costs $55,000 and as of now you only
Time period. On your tenth birthday, you received $100, which you invested at a 4.5% interest rate, compounded annually. That investment is now worth $3,000. How old are you now?
Interest rate. Your savings account has doubled in the past 13 years. You put one payment of $10,000 in at time 0.What annual interest rate have you earned?
Interest rate. You have identified your dream home. Unfortunately, it costs$350,000, and you currently have a grand total of $78,000. What interest rate must an account give you in order to have the
PV of unequal cash flows. You decide to become a professional gambler.You estimate that you can make $20,000 next year betting on sports. You then figure you will be better at it, so you estimate you
PV of unequal cash flows. Suppose you have an incentive deal worked out with your father. For every year you survive college with an acceptable GPA, you get compensated. Since the classes get harder,
FV of unequal cash flows. You expect to receive cash flows of $12,000 at the end of year 1, $8,000 at the end of year 2, $4,500 at the end of year 3, and$7,800 at the end of year 4.What will this be
Annuities. You plan to invest $15,000 at the end of each of the next 12 years into an account earning 6.4% compounded annually. How much will it be worth at the end of those 12 years?
Present value. You and your husband (wife) just had a nasty divorce. You, being the breadwinner in the family, have to pay support to him (her) for the next 15 years. You haggle out a price of $3,000
Annuities. You just signed a loan agreement on a boat. You will pay $867 each month for the next ten years. What was the purchase price of the boat if the APR is 8.5%, compounded monthly?
Annuities and time. You want to quit your day job and become a day trader.However, knowing the risk of doing so, you want to have a nest egg first.Your goal is to have $100,000 in an investment
Annuities and rates. Your grandpa is a great guy and is willing to give you$50,000 today to pay off some student loan. But he wants to be repaid $200 each month for the next 30 years. What APR is he
Interest-only loans. Suppose you buy a condo as an investment property.You buy it with a 30-year interest-only loan with a rate of 5%, compounded monthly. The condo costs $215,000, and you finance
Amortized loans. You want to buy a house with a price tag of $277,777.You pay 10% down and borrow the rest on an amortized loan at a rate of 6%, compounded monthly, for 30 years. After six months of
Loan types. Suppose you want to buy a $200,000 home on a hybrid loan.For the first five years, the loan will be an interest-only loan, and then it will turn into an amortized loan. If the applicable
Future value. Suppose you’ve just gotten a job that has an annual salary of$105,000. You are also promised a 3% raise in each of the following three years.However, you were fortunate to be born
Present value. Mary Lee Tucker has just turned 17.Her boyfriend, Scotty, decided to have a party for her. The party was thrown in Scotty’s parent’s basement with their full knowledge and consent.
Present value. Susie bets you $1,000 that she can run a mile in five minutes.You obviously don’t believe her, so you agree to take on the bet. However, at the last minute, she informs you that she
Future value. Following up on the previous question, suppose that you realize that you’re not exactly getting a fair deal. How much would you be willing to accept in six months in exchange for the
Annuity amount. Suppose your goal is to have $200,000 at the end of ten years in order to buy a home. If you invest in an account that earns an interest rate of 6.7%, compounded monthly, how much
Annuity amount. You just bought a car that costs $19,000. You finance it over the next five years, at a rate of 5.5%, compounded monthly. How much is your monthly payment?
Present value. Suppose you were just hired at a prestigious sales company.You have two options for your salary. You can get paid either on a commission basis or on a straight salary basis. If you
Present value. You are an entrepreneur at heart and want to start your own business. However, in order to do so, you’re going to need funding.Fortunately, you have a wealthy aunt who is open to the
Future value. You have just started a side business making erasers for pencils.Your goal is to make enough to buy the house you desire on the lake.The house costs $200,000 and you want to buy it ten
Future value. You’ve always wanted to buy a mint condition 1965 K-code Mustang Coupe. Unfortunately, that is an expensive desire, as the current price tag on such a car is $60,000. Further, you
Loans. Suppose, by the time you have finished school, you will have accumulated$120,000 in debt, from two different sources. First, you have student loans of $85,000. These loans will carry a rate of
Loans. You want to buy a farm that costs $650,000. You plan to finance it over the next 30 years. You are considering two options. Option A is that you use savings of $25,000 as a down payment on the
Public debt. Discuss the similarities and differences between private and public debts. What are the advantages of public debt relative to private debt?What are the disadvantages?
Bond investment. As an investor, what is the appeal of investing in bonds?What are the cash flows that you can look forward to in the future?
Bond underwriting. Compare and contrast the processes of going public in the equity markets and debt markets.
Bond markets. How are bonds traded, generally speaking? What are bid and ask prices?
Bond types. Structurally speaking, what is a coupon-paying bond? What type of loan? Answer by drawing comparisons between coupon bonds and personal loans.
Bond indenture. Discuss the following features that may be included in a bond contract: (1) call provision, (2) sinking fund provision, (3) security clause, and(4) restrictive covenants. For each, be
Bond ratings. What are the benefits of bond ratings? How do they affect both the issuing firm and the investor?
Bond ratings. What is the difference between an investment grade bond and a speculative grade bond? What makes a bond be defined as such and what does that mean for the investor from a risk-reward
YTM and YTC. What is the difference between the yield to maturity and the yield to call? What variables generally differ in calculating the two?
YTM and CR. Define both the yield to maturity and the coupon rate. What do each tell the investor and the issuing firm? How does the relationship between the two interact with the price of the bond?
Rates and prices. What is the relationship between rates and prices? Why is this, both in a mathematical and practical sense? Which variable is the driving force behind the other?
Government bonds. How do government bonds differ from corporate bonds.Why would an investor be interested?
STRIPS. What is STRIPS? How is it created and what purpose does it serve?
Bond price. What is the current price of a 25-year, 8% coupon bond that has a required return of 8.26%, 12 years left until maturity, and makes annual payments?
Bond price. Consider 30-year bonds that pay semiannual coupons and have seven years left until maturity. If you bought the bonds, you would receive a coupon payment of $49.43 each six months. The
Bond price. What is the price of an 18-year coupon bond that has been outstanding for the past ten years, if the current YTM is 12.43% and the coupon rate is 10.4%, paid semiannually?
Bond costs. Judy’s Makeup Shop, Inc., just issued 20-year bonds that pay coupons of 5.89% on a face value of $1,000. How much is it going to cost Judy, in total throughout the life of the bond to
Coupon rates. Suppose you have a 25-year semiannual coupon-paying bond selling for $895.68. The bond is currently selling at a yield of 8.5%and has 16 years left until maturity. What is the coupon
Bond income. Your grandma is searching for some investments that will generate a stream of income in her elderly years. She needs $16,000 to cover her living expenses. Her advisor has just used her
Bond maturity. Suppose you have a bond with a current selling price of$1,123.26. It is a 30-year bond currently selling at 7.06%. If the coupon rate is 8.6% paid semiannually, how many years are left
Bond yields. Consider a coupon bond that is currently selling for $897.07.If the bond pays a coupon rate of 7.1%, semiannually, and has 18 years left until maturity, what is the current YTM on these
Bond yields. Consider a 30-year bond that was issued 14 years ago. The bond is callable in five years at 104.Currently, it is selling at $976.39. The coupon rate is 8.10%, the face value is $1,000,
Bond yields. In the above (#9), what is the YTC on the bond?
Zero-coupon bonds. You want to buy zero-coupon bonds with face value of $1,000 and 14 years left until maturity. The bonds have a YTM of 4.33%, compounded semiannually. What is the current price?
Zero-coupon bonds. You have just purchased a debt security that has no coupon payments and expires in eight years. The security has a face value of $800 and currently sells for $524.98. What is the
Clean and dirty prices. Consider a bond that is currently quoted at 102.5.The bond pays a 6% coupon, semiannually. You bought this bond one-fourth of the way through a coupon cycle. How much would
STRIPS. What is the YTM on a coupon STRIPS that will mature in 15 years? The parent bond pays a semiannual coupon based upon a coupon rate of 8.6% and face value of $1,000. The 15-year coupon STRIP
STRIPS. Consider an issuance of government bonds that have 20 years until maturity. The bond pays semiannual coupons based upon a CR of 5.2% and face value of $1,000. Suppose the bonds get
Bond prices. You buy 30 zero coupon bonds that have 12 years left until maturity and a required return of 7.43%. In addition, you buy twelve 5%coupon bonds that have ten years left until maturity and
Callable bond. Consider Bond XYZ, which is currently priced at $986.76 and is callable in two years at 102.It pays a coupon rate of 7.54% in semiannual coupons. It will expire in four years and has
Bond portfolios. Exactly three years ago, you started a portfolio. The portfolio was made up of 12 coupon bonds and 14 zero-coupon bonds:55 The coupon bonds have a coupon rate of 6.69%, paid
Bond portfolio yield. Suppose you have just created a bond portfolio made up of three bond holdings. You bought 100 corporate bonds that have coupon rates of 7.4%, compounded semiannually, with 14
Equity. Define to someone who has never heard the notion exactly what equity is. Do so from both the firm and investor perspective.
Public equity. What distinguishes public equity from private equity? Why would a firm want either, or both?
Common stock. Your grandpa doesn’t understand why anyone would want to invest in the stock market instead of just putting their money in the bank.Explain to him the benefits of investing in common
Equity valuation. Why is equity valuation more difficult than bond valuation?Create an analogy to help explain to a beginner.
Dividends. What is the difference between current dividends and expected dividends?When would you use each, and why?
Dividends. Detail the four dates of concern dealing with dividend payments.From an investor’s perspective, when would you have to buy to receive the dividend?
Dividends. CEO Davidson knows the firm is falling into a financial black hole but refuses to reduce the dividend. Why is he being so stubborn? Is there any reason why he could be correct in his
Preferred stock. Your investing buddy says to you, “Why not buy preferred stock? It says right in the name that we should prefer them over common stock.”How do you respond?
Dividend growth model. What is the mathematical basis underlying the dividend growth model? If the required return increases, does this increase or decrease the stock price?
Dividend growth model. Show three ways the dividend growth model can be used, from either firm’s or investor’s perspective.
Required return. What are the two components to the required return on common stock? What do they mean for the firm? What about for the investor?
Required return. What is the relationship between required returns and growth rates in the dividend growth model?
Dividend growth models. What is the theoretical basis for the dividend growth model? Why does it not always work in the real world? Even if it mechanically works, can you think of reasons why the
Valuation models. Name two other discounted cash flow-based models, and discuss how they different in general terms from the DGM.
Stock exchanges. Compare and contrast the NYSE and Nasdaq. How do they work, and what role do they play in the financial landscape?
Stock exchanges. Your best friend, Betty, just burst into your apartment with the following proclamation. “I just saw the movie ‘Wall Street,’ and I was so blown away by all the action on the
Dividend growth model. A firm just paid a dividend of $1.45. If the growth rate is a constant 5.42% and the required return is 6.4%, what is the current price of a share of stock, according to the
Dividend growth model. Suppose Scotty is expected to pay a dividend of$1.75 next year. If the required return is 5.47% and the expected growth rate is 3.64%, what is the expected price at time 6?
Dividend growth model. The current price of share of common stock is$25.80. If the company expects perpetual growth of 3.6% and has a required return of 8%, what dividend could be expected at time 4?
Common stock valuation. Suppose a firm is expected to pay a dividend of$1.25 in each of the next four years and then never pay a dividend again. If the firm’s required return is 5.4%, at what price
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