Finance FIN 340 Lecture 4: Interest Rates and Bond Valuation

70 views3 pages

oliveleopard31

7 Feb 2017

School

Department

Course

Professor

For unlimited access to Class Notes, a Class+ subscription is required.

Document Summary

Market value (price) = pv (cash flows) = e(cf) / (1 + r)^t. Interest rates banks offer on investments or charge on loans depends on the horizon, or term of the investment or loan. Term structure: the relationship between the investment term and the interest rate. Used to compute the present value and future value of a risk-free cash flow (cn) over different investment horizons (n) Yield curve: a graph of the term structure. A graphical representation of interest rates rt for different maturities t: term structure: pv = cn / (1 + rn) ^n. If multiple cash flows, add their present values together: a bond is a security that obligates the issuer to make interest and principal payments to the holder on specified dates. Term: the time remaining until the repayment date. Face value (par, principal): notional amount used to compute the interest payments. Coupon rate (interest rate): determines the amount of each coupon payment.

Related Questions

I need help proof reading my assignment please, thank you in advance.

Cost of Debt

The cost of debt is the effective rate that a company pays on its total debt.

As a company acquires debt through various bonds, loans and other forms of debt, the cost of debt is a useful metric. It gives an idea as to the overall rate being paid by the company to use debt financing. This measure is also useful because it gives investors an idea as to the riskiness of the company compared with others. The higher the cost of debt, the higher the risk.

1. Cost of debt (before tax) = Corporate Bond rate of companyâs bond rating.

Pepsico 2.75% = 2.75%

Current cost of Debt as of February 17th 2014 = 2.75%

2. Current tax rate

In 2013 PepsiCoâs tax rate was = 23.66%

2013 PepsiCo averaged tax rate of 23.66%

3. Cost of Debt (After Tax) = (Cost of Debt Before Tax) (1 â Tax Rate)

The effective rate that a company pays on its current debt after tax.

.0275 x (1 â .2366) = Cost of debt after tax

The cost of debt after tax for PepsiCo is 2.10%

Cost of Equity or R Equity = Risk Free Rate + Beta Equity (Average Market Return â Risk Free Rate)

The cost of equity is the return a firm theoretically pays to its equity investors to compensate for the risk they undertake by investing in their company.

Risk Free Rate = U.S. 10-year bond = 2.74%

Average Market Return 1950 â 2014 = 7%

Beta = PepsiCoâs Beta = 0.37

Risk Free Rate + Beta Equity (Average Market Return â Risk Free Rate)

2.74 + 0.37 (7- 2.74)

2.74 + 0.37 x 4.26

2.74 + 1.58 = 4.31%

Currently, PepsiCoâs has a Cost of Equity or R Equity of 4.31%, so investors should expect to get a return of 4.31% per-year average over the long term on their investment to compensate for the risk they undertake by investing in this company.

Weighted Average Cost of Capital or WACC calculation

The WACC calculation is a calculation of a companyâs cost of capital in which each category of capital is equally weighted. All capital sources such as common stock, preferred stock, bonds and all other long-term debt are included in this calculation.

As the WACC of a firm increases, and the beta and rate of return on equity increases, this is an indicator of a decrease in valuation and a higher risk. By taking the weighted average, we can see how much interest the company has to pay for every dollar it finances. For this calculation, you will need to know the following listed below:

Tax Rate = 23.66%

Cost of Debt (before tax) or R debt = 2.75%

Cost of Equity or R equity = 4.31%

Debt (Total Liabilities) for 2013 TTM or D = $53.069 billion

Stock Price = $78.09 (Feb. 17th, 2014)

Outstanding Shares = 1.55 billion

Equity = Stock price x Outstanding Shares or E = $121.04 billion

Debt + Equity or D+E = $174.109 billion

WACC = R = (1 â Tax Rate) x R debt (D/D+E) + R equity (E/D+E)

(1 â Tax Rate) x R debt (D/D+E) + R equity (E/D+E)

(1 â .2366) x .0275 x ($53.069 /$174.109) + .0431 ($121.04 /$174.109)

.7634x .0275 x .3048 + .0431 x .6972

.0064 + .03

= 3.64%

Based on the calculations above, we can conclude that PepsiCo pays 3.64% on every dollar that it finances, or 3.64% cents on every dollar. From this calculation, we understand that on every dollar the company spends on an investment, the company must make $.0673 plus the cost of the investment for the investment to be feasible for the company.

Understanding the WACC of a company is important because securities analysts employ WACC all the time when valuing and selecting investments. In discounted cash flow analysis, for instance, WACC is used as the discount rate applied to future cash flows for deriving a businessâs net present value.

Investors use WACC as a tool to decide whether to invest. The WACC represents the minimum rate of return at which a company produces value for its investors. Letâs say a company produces a return of 20% and has a WACC of 11%. That means that for every dollar the company invests into capital, the company is creating nine cents of value. By contrast, if the companyâs return is less than WACC, the company is shedding value, which indicates that investors should put their money elsewhere.

Question 1 of 25

You are planning to deposit $1,000 in a savings account. Account A compounds semiannually while account B compounds monthly. If both accounts have the same quoted annual rate of interest, you should choose _______________.

A. either account since both quote the same rate of interest

B. account A because it has a higher APR

C. account A because it has a higher EAR

D. account B because it is compounded more often

Question 2 of 25

You are evaluating two annuities. They are identical in every way, except that one is an ordinary annuity and the other is an annuity due. Which of the following is FALSE?

A. The ordinary annuity must have a lower future value than the annuity due.

B. The ordinary annuity must have a higher present value than the annuity due.

C. The two annuities will differ in present value by the amount (1+r).

D. The annuity due and the ordinary annuity will make the same number of total payments over time.

Question 3 of 25

What is the total present value of $80 received in one year, $300 received in two years, and $700 received in six years if the discount rate is 7%? Note: There is no direct formula for this kind of PV computation other than the basic equation, PV = FV/(1+r)t. 0 1 2 3 4 5 6 |-----------|----------|----------|----------|----------|---------| PV=? $80 $300 $700

A. $582.72

B. $681.68

C. $757.25

D. $803.24

Question 4 of 25

You need to borrow $23,000 to buy a car. The current loan rate is 7.9% APR compounded monthly and you want to pay the loan off in equal monthly payments over 5 years. What is the correct computation to find your monthly payment (C)?

A. C = $23,000 [PVIFA(7.9%/12, 60)]

B. $23,000 = C [1 - (1/1.0795)] / .079

C. $23,000 = C [1 - (1 /1.0065860)] / .00658

D. C = $23,000 [1 - (1/1.07960)] / .079

Question 5 of 25

The monthly mortgage payment on your house is $821.69. It is a 30-year mortgage at an APR of 6.5% compounded monthly. How much did you borrow? Note: PVIFA(r, t) = [1 â 1/(1+r)t] / r, and of course, you can use your calculator here.

A. $100,000

B. $115,000

C. $130,000

D. $140,000

Question 6 of 25

You just won the lottery and you are given two choices for your prize money: (1) A present lump sum of $20 million or (2) $1 million per year that you and your heirs will receive forever, beginning one year from now. If the appropriate interest rate is 5%, which should you choose and why? Note: PV of a perpetuity = C/r

A. Either, because both have the same present value.

B. (1) because it has a higher present value.

C. (2) because it has a higher present value.

D. (2) because it has a higher future value.

Question 7 of 25

What is the effective annual rate of 6% compounded quarterly? Note: EAR = (1 + APR/m)m â 1.0, where m is the number of compoundings in a year.

A. 6.00%

B. 6.14%

C. 7.50%

D. 24.00%

Question 8 of 25

At the end of each year for the next 8 years you will receive cash flows of $500. The initial investment is $2,500. Which of the following is the correct equation to find the rate of return (r) you are expecting from this investment?

A. $2,500 = $500 [1/(1+r)8 â 1] / r

B. $500 = $2,500 [PVIFA(r%,8)]

C. $500 = $2,500 [FVIFA(r%,8)]

D. $2,500 = $500 [1 â 1/(1+r)8] / r

Question 9 of 25

Consider the following cash flow stream. What is the correct way to find the present value of this cash flow stream at a 10% discount rate? 0 1 2 3 4 5 6 7 8 9 10 |----------|----------|----------|----------|----------|----------|---------|----------|----------|----------| PV=? $35 $35 $35 $35 $35 $35 $20 $20 $20 $20

A. PV = 35 [PVIFA(10%, 6)] + 20 [PVIFA(10%, 4)]

B. PV = 20 [PVIFA(10%, 10)] + 15 [PVIFA(10%, 6)]

C. PV = 35 [PVIFA(10%, 10)] â 15 [PVIFA(10%, 4)]

D. PV = 35 [PVIFA(10%, 6)]/(1.10)6 + 20 [PVIFA(10%, 4)]

Question 10 of 25

You plan to amortize your $10,000 loan by making five equal payments over the next 5 years. The interest rate is 5% compounded annually. What number should appear in (A) of your amortization table below? Note: PVIFA(5%, 5)=4.3295.

Beginning Ending Year Loan Balance Payment Interest Principal Loan Balance

----------------------------------------------------------------------------------------------

1 $10,000 xxxx xxx xxx xxxx

2 ( A ) xxxx xxx xxx xxxx

3 xxxx xxxx xxx xxx xxxx

4 xxxx xxxx xxx xxx xxxx

5 xxxx xxxx xxx xxx 0

A. $8,457.12

B. $8,190.26

C. $7,690.26

D. $6,809.74

Question 11 of 25

The rate of return required by investors for owning a bond to its maturity is called the

A. coupon rate.

B. current yield.

C. dividend yield.

D. yield to maturity.

Question 12 of 25

Which of the following statements regarding bond terminologies is INCORRECT?

A. The written, legally binding agreement between the corporate borrower and the lender detailing the terms of a bond issue is called the indenture.

B. The unsecured long-term debts of a firm are commonly called debentures.

C. An agreement giving the bond issuer the option to repurchase the bond at a specified price prior to maturity is called the zero provision.

D. A special account that sets aside periodic payments for bond redemption is called a sinking fund.

Question 13 of 25

Which of the following statements regarding bond trading is INCORRECT?

A. The long-term bonds issued by state and local governments in the United States are called municipal bonds.

B. The long-term bonds issued by the U.S. government are called Treasury Bills.

C. A bond that makes no coupon payments (and thus is initially priced at a deep discount) is called a zero coupon bond.

D. The price a dealer is willing to pay for a security is called the bid price.

Question 14 of 25

Which bond would most likely possess the least degree of interest rate risk?

A. 8% coupon rate, 12 years to maturity

B. 8% coupon rate, 15 years to maturity

C. 10% coupon rate, 10 years to maturity

D. 12% coupon rate, 8 years to maturity

Question 15 of 25

What is the value of a bond that will pay a total of 50 semiannual coupons of $80 each over the remainder of its life? The yield to maturity is 12%, p.a. Note: B = C [{1 â 1/(1+y)t}/y] + F /(1+y)t. Be careful about specifying t and y for this semiannual bond.

A. $ 734.86

B. $ 942.26

C. $1,135.90

D. $1,315.24

Question 16 of 25

Dizzy Corporationâs 10-year semiannual bond bearing a coupon rate of 12% is currently selling for $950. Given this information, which of the following is the correct valuation equation for this bond?

A. B = 120 [PVIFA(12%, 10)] + 1,000 [PVIF(12%, 10)]

B. $950 = 60 [PVIFA(r/2, 20)] + 1,000 [PVIF(r/2, 20)]

C. $950 = 120 [PVIFA(r, 10)] + 1,000 [PVIF(r, 10)]

D. B = 60 [PVIFA(6%, 20)] + 1,000 [PVIF(6%, 20)]

Question 17 of 25

To find the yield-to-maturity of the bond in Question #16 by trial and error, which number (as a semiannual YTM) should you pick as your first try?

A. 5%

B. 6%

C. 7%

D. Any number (like one of your favorite lotto numbers).

Question 18 of 25

George bought an investment one year ago and just calculated his return on investment. He found that his purchasing power has increased by 15% as a result of his investment. If the inflation over the period was 4%, his _______________. Note: (1+R) = (1+r)(1+h), but you donât need calculation here.

A. real return on investment is more than 15%

B. nominal return on investment is more than 15%

C. nominal return on investment is 11%

D. real return on investment is equal to 4%

Question 19 of 25

Which statement is INCORRECT given the following Treasury quotes? Maturity Coupon Bid Ask(ed) Chg Ask(ed) Yld ---------------------------------------------------------------------------------------- 5/15/2030 6.250 150.7188 150.7500 .8906 2.713

A. The amount of each coupon on this bond is $31.25.

B. The ask(ed) price is $1,507.50.

C. The dealer is willing to sell this bond to you for 150.7188% of par.

D. This bondâs ask(ed) price rose by $8.906 (i.e., eight dollars and 90+ cents) from the previous trading day.

Question 20 of 25

Which of the following statements regarding stock trading is INCORRECT?

A. Stock that has priority for dividends and bankruptcy liquidation is called priority equity.

B. The short alphabetic abbreviation for an exchange-listed stock by which the issue is identified in the market is called the stock's ticker symbol.

C. Capital gains yield is the rate of return based on the stock price increase.

D. Proxy voting is the voting procedure where shareholders grant authority to another individual to vote their shares.

Question 21 of 25

What would you pay for a share of ABC Corporation stock today if the next dividend will be $3 per share, your required return on equity investments is 15%, and the stock is expected to be worth $90 one year from now? (Remember the stock price today is the PV of its future cash flows, i.e., dividends and the future stock price, properly discounted)

A. $75.00

B. $78.26

C. $80.87

D. $90.00

Question 22 of 25

A preferred stock that pays a constant dividend of $1.50 currently sells for $10.71. What is the required rate of return? Note: P0 = D/R for a preferred stock.

A. 14%

B. 13%

C. 12%

D. 10%

Question 23 of 25

A stock with a constant dividend growth rate of 5% is expected to make a $2 dividend in one year. If you require a 12% return on your investment, which of the following statements is INCORRECT? Note: P0 = D1/(Râg) or R = (D1/P0) + g.

A. The current stock price is $28.57.

B. The dividend yield is 7%.

C. The capital gains yield is 12%.

D. The stock price will grow at an annual 5%.

Question 24 of 25

McIver, Inc. currently pays a $2 annual dividend. Investors believe that dividends will grow at 20% next year, 12% for the following year, and 6% annually thereafter. The required return is 10%. What is the current price of the stock?

A. $63.27

B. $60.80

C. $58.71

D. $54.90

Question 25 of 25

Which statement is INCORRECT given the following stock quotes? Prev Close 44.34 Dayâs Range 43.45 â 44.37 Bid 44.01 x 1,200 Volume 908,587 Ask 44.02 x 400 P/E 17.26 Beta 2.4 EPS 2.55 Market Cap 10.11B Div & Yield 0.50 (1.10%)

A. At this point someone was willing to buy 1,200 shares of this stock for $44.01 a share.

B. The yield-to-maturity for this stock is 1.1%.

C. On this trading day so far 908,587 shares changed hands.

D. The total value of this companyâs stock is (about) $10,110 million.

The goal of the firm is to ____ because _____. Answer maximize shareholders' wealth; it considers all risks invest funds in real estate; the return is longer maximize shareholders' profit; it is a short term outlook closely matching management goals Mike is paying $8,000 a year on his mortgage at 6% nominal annual interest. He has 15 more years to make payments. He wants to sell his house today. The lowest [minimum] price he can sell the house without losing any money on the house would be about ___. Answer $120,000 $ 50,000 $77,698 $ 186,208 A firm's net income before tax, EBT [NIBT] (on the income statement) is affected by _____. Answer taxes interest dividends Common Stock as listed on the Balance Sheet could include which of the following? Answer A) retained earnings B) additional paid in capital over par value C) preferred capital Both A) and B) If an asset is sold for ___ than its basis, the tax effect would be ____. Answer A) more; capital gain and depreciation recapture B) less; depreciation recapture C) more; capital loss Both A) and B) The main reason for a firm to have assets is to _______. Answer generate revenue match the liabilities and equity both of the above be able to borrow money and pay its debts none of the above The only risk you would NOT have in loaning money to the United States Government (Uncle Sugar) is _____ risk. Answer liquidity maturity default A(n) ____ shows _____. Answer balance sheet; sources and uses of funds income statement; net income as of a specific date cash flow statement; how well the firm is doing relative to its competition You can compare dollars _____ because ______. Answer computed using equations; any math is always correct at any point in time; time is never a factor if they are at nominal value; that is when decisions are made only at the same point in time; dollars can be invested to earn interest There ___ a tax benefit to the company with paying preferred dividends because _______. Answer is; investors can write them off is not; investors declare them as income is; the company can use the payments as an expense is not; the company cannot use the payments as an expense XYZ issued a 6% coupon, $1,000 par, 30 year to maturity bond. It is now 6 years to maturity. What is the price of the bond if the yield to maturity [market interest rate] is 10%? Answer $1,000 $659.46 $825.79 $705.33 The valuation process can be described as ______. Answer calculating the present value of an expected future cash flow using the investor's required rate of return as the discount rate calculating the future value of an expected future cash flow using the investor's required rate of return as the discount rate amortizing the value of the asset over its holding period The ______ is the minimum required rate of return a firm must earn on its investments. Answer net present value opportunity cost of capital or weighted average cost of capital. internal rate of return gross profit margin The value of an asset is the _____ dollar price someone is willing to pay for it. Answer usual maximum minimum Companies use ____ in capital budgeting project analysis because ________. Answer accounting profit; that is the total net income after tax cash flow; that is what the owners would receive from the project and reinvest accounting profit; that is what the owners would receive from the project and reinvest after tax cash flow; that is the result of prudent accounting When borrowing money, you want to know the ____ interest rate because ____. Answer nominal; it is the easiest to find. effective; it is the true cost of borrowing risk free; that is what the government pays Fed funds; that is what you would pay the bank Cash available to pay out to the investors after the firm pays for new investments or additions to working capital is _____. Answer a statement of cash flows operating after tax cash flow free cash flow net income An organization that raises money from investors and provides financing for individuals and businesses is a ___. Answer factor federal government regulatory unit state government taxing authority financial intermediary Negatives/cons of the Net Present Value (NPV) technique include: Answer least conservative reinvestment assumption multiple rates of return for non-conventional cash flows all of the above none of the above A fixed exchange rate means a country _____. Answer can only use gold coins as money is limited in the amount of paper money it can print can print money as the economy demands Your company is considering an investment with the following expected cash flows: Initial Investment = $407,596 Operating Cash Flows = $73,428 per year Terminal Cash Flow = $11,872. The company's WACC is 11% for similar risk projects. The proposed project would have an expected life of 9 years. Your boss asks you to do the analysis. You would tell your boss this proposed project ___ because ____. Answer is acceptable; NPV is about $3,620 is acceptable; NPV is zero should be rejected; NPV is about -$5,660 [negative $5,660]. should be rejected; NPV is zero All ratios are ___ and a reason to analyze ratios is ____. Answer good; to continue to look productive good and bad; because seemingly good ratios can be masking something bad bad; to try to rework the numbers to have them look good basically irrelevant; there really is no need to analyze financial statements When analyzing financial statements, ratio analysis gives ____ and provides insight into ____. Answer very little useful information; practically nothing good practice in logical thinking; what has occurred and the logic behind it financiers something to do during slow periods; how the financier spends his time accountants a reason to provide financial statements; why accountants do what they do while at work Given: Economic State[i]: Good Average Expected Return[i]: 10% 8% Probability[i]: 30% 70% What is the Standard Deviation? Answer 3% 8.4% 0.92% 5.6% Chapter 9: XYZ has a projected project to install a new press. The expected cash revenue is $175,000 per year. Expected yearly expenses are: Operatinf costs of $50,000; Rental of $17,000; Utilities of $20,500; and Depreciation of $10,000. The tax rate is 35%. What is the expected After-Tax Operating Cash Flow for the first year? Answer $65,500 $60,375 $77,500 $97,500 A stock just paid a dividend of $1.60 per year. The dividend is expected to grow at 3% per year indefinately. Equally risky stocks offer expected rates of return of 8%. What should be the stock price? Answer 53.33 $16.00 $32.96 None of the above. A plot of the CAPM is the _____. Answer wrong thing to do Security Market Line a function showing how to calculate TVM All of the above. Derivatives are used to ___. Answer divide one number by another find old ways to do things hedge risk none of the above With the end of the Gold Standard in the 1970's, what new risk did business face in the international market? Answer Comjpetition Exchange rate Worker compensation Property taxes One of the positive aspects [pros] of a Floating Exchange Rate System is ____. Answer money can be printed as needed to support financial/economic growth no/reduced inflation economic growth is reduced as a result of reduced liquidity [lower money supply] business planning is more difficult A(n) ____ contract obligates the seller to execute the contract and the contract is executed. Answer backwards forward future option What policies did countries institute after the Great War that help lead to the Great Depression? Answer A. Mandatory military service B. Trade restrictions C. High tariffs D. Isolationism Only B., C. and D. All of the above

bluemarten153

Finance FIN 340 Lecture 4: Interest Rates and Bond Valuation

Document Summary

Get access

Related Documents

Finance FIN 340 Study Guide - Midterm Guide: Cash Flow, Net Present Value, Interest

COMM 121 Chapter Notes - Chapter 6: Weighted Arithmetic Mean, Risk Premium, Net Present Value

FIN 475 Lecture Notes - Lecture 9: Annual Percentage Rate, Federal Funds Rate, Real Interest Rate

Related Questions