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a )A lender offers you a mortgage with an APR of 4.20% withmonthly compounding. What is the effective rate of interest chargedby the lender?

b) An investor is considering an opportunity that pays thefollowing cash flows:

Year 1 2 3
Cash Flow $110.00 $132.00 $151.00

The investor thinks interest rates will rise over the next fewyears, so he wants to use different rates based on the year. Forthe first year, he will use a discount rate of 3.69%. For thesecond year, he will use 5.91%, and for the third year, he will use7.44%. Find the value of this investment today.

c) A real estate investment has the following expected cashflows:

Year Cash Flows
1 $10,600.00
2 $26,800.00
3 $35,100.00
4 $42,500.00

The discount rate is 6.00 percent. What is the investment'sfuture value at the end of the fourth year?

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Collen Von
Collen VonLv2
28 Sep 2019

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Related questions

The payment made each period on an amortized loan is constant, and it consists of some interest and some principal. The closer we are to the end of the loan's life, the smaller the percentage of the payment that will be a repayment of principal.

a. True

b. False

2. The market value of any real or financial asset, including stocks, bonds, or art work purchased in hope of selling it at a profit, may be estimated by determining future cash flows and then discounting them back to the present.

a. True

b. False

3. A bond has a $1,000 par value, makes annual interest payments of $100, has 5 years to maturity, cannot be called, and is not expected to default. The bond should sell at a premium if interest rates are below 10% and at a discount if interest rates are greater than 10%.

a. True

b. False

4.Which of the following events would make it more likely that a company would choose to call its outstanding callable bonds?

a. Market interest rates decline sharply.

b. Market interest rates rise sharply.

c. Inflation increases significantly.

d. The company's financial situation deteriorates significantly.

e. The company's bonds are downgraded.

5. A 15-year bond has an annual coupon rate of 8%. The coupon rate will remain fixed until the bond matures. The bond has a yield to maturity of 6%. Which of the following statements is CORRECT?

a. If market interest rates remain unchanged, the bond's price one year from now will be lower than it is today.

b. The bond is currently selling at a price below its par value.

c. If market interest rates decline, the price of the bond will also decline.

d. If market interest rates remain unchanged, the bond's price one year from now will be higher than it is today.

e. The bond should currently be selling at its par value.

6. Which of the following statements is CORRECT?

a. The expected return on a corporate bond will generally exceed the bond's yield to maturity.

b. If a bond's coupon rate exceeds its yield to maturity, then its expected return to investors exceeds the yield to maturity.

c. All else equal, senior debt generally has a lower yield to maturity than subordinated debt.

d. Under our bankruptcy laws, any firm that is in financial distress will be forced to declare bankruptcy and then be liquidated.

e. An indenture is a bond that is less risky than a mortgage bond.

7. Your investment account pays 6.8%, compounded annually. If you invest $5,000 today, how many years will it take for your investment to grow to $9,140.20?

Select the correct answer.

a. 10.47

b. 11.77

c. 9.17

d. 13.07

e. 7.87

8. You want to purchase a motorcycle 4 years from now, and you plan to save $3,500 per year, beginning immediately. You will make 4 deposits in an account that pays 5.7% interest. Under these assumptions, how much will you have 4 years from today?

a. $16,918

b. $19,584

c. $16,112

d. $17,763

e. $18,652

9. Suppose you earned a $135,000 bonus this year and invested it at 8.25% per year. How much could you withdraw at the end of each of the next 20 years?

Select the correct answer.

a. $14,006.84

b. $13,994.04

c. $13,997.24

d. $14,000.44

e. $14,003.64

10.Your older brother turned 35 today, and he is planning to save $30,000 per year for retirement, with the first deposit to be made one year from today. He will invest in a mutual fund that's expected to provide a return of 7.5% per year. He plans to retire 30 years from today, when he turns 65, and he expects to live for 25 years after retirement, to age 90. Under these assumptions, how much can he spend each year after he retires? His first withdrawal will be made at theend of his first retirement year.

Select the correct answer.

a. $119,069

b. $119,090

c. $119,076

d. $119,097

e. $119,083

11. Rogoff Co.'s 15-year bonds have an annual coupon rate of 9.5%. Each bond has face value of $1,000 and makes semiannual interest payments. If you require an 11% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?

Select the correct answer.

$888.91

$882.64

$886.82

$891.00

$884.73

12. Haswell Enterprises' bonds have a 10-year maturity, a 6.25% semiannual coupon, and a par value of $1,000 . The going interest rate (rd) is 9.75%, based on semiannual compounding. What is the bond's price?

Select the correct answer.

$782.32

$787.80

$779.58

$785.06

$790.54

Question 1

In a world with no frictions (taxes, etc.), value is created by how you finance a project.

Your Answer

False. True.

Question 2

(5 points) The return on equity is equal to the return on assets of a project/firm.

Your Answer

Never true.

Always true.

Sometimes true.

Question 3

Suppose the expected returns on equity of two firms, Macrosoft and Microsoft, that operate in the same industry are 10.50% and 12.60%, respectively. What is the return on assets in this business if Macrosoft has no debt? (Enter the answer with no more nor less than two decimal places, and leave off the % sign. For example, if your answer is 13.97% you should enter it as 13.97 NOT 0.14 nor 14)

Answer: _____________________

Question 4

Suppose CAPM holds, and the beta of the equity of your company is 2.00. The expected market risk premium (the difference between the expected market return and the risk-free rate) is 4.5% and the risk-free rate is 3.00%. Suppose the debt-to-equity ratio of your company is 20% and the market believes that the beta of your debt is 0.20. What is return on assets of your business? (Enter the answer with no more nor less than two decimal places, and leave off the % sign. For example, if your answer is 13.97% you should enter it as 13.97 NOT 0.14 nor 14)

Answer: _____________________

Question 5

You are planning on opening a restaurant chain. You have projected yearly cash flows of $10 million starting next year (t = 1) with a growth rate of 1% over the foreseeable future thereafter. This endeavor will require a substantial investment and you will have to convince investors to provide you the capital to do so. You will invest some of your own money, convincing other investors will of course be useful for your valuing your own investment decision. A critical piece of your analysis is figuring out the present value of the cash flows of the business. Your research has revealed the following information: similar restaurant businesses equity has an average beta of 1.20 and the average debt-to-value ratio in this industry is 25%. The risk-free rate is 3.25% and the expected market risk premium (the average difference between between the market return and the risk-free rate) is 4.50%. What is the value of the cash flows of your business?

Your Answer Score Explanation

Do not have enough information to calculate.

158730159.

130718954.

Question 6

You have just returned to your job after completing your MBA, generously funded by the CEO. A few days later, your CEO requests you to evaluate the following news release he will issue to analysts. "For years we have thought about our business strategy, without worrying about financing. Times have changed and we need to think about our cost of capital. Since (a) debt is always cheaper than equity; (b) we have decided to use debt to finance our next major projects." What is your assessment of this statement?

Your Answer

The statement is false.

The statement is true.

The statement is partly true/false.

Question 7

Two firms, Alpha, Inc., and Beta, Inc., are in the same business. Alpha, Inc., has debt that is viewed by the market as risk-less with a market value of $500 million. Beta, Inc., has no debt. Both firms are expected to generate cash flows of $100 million per year for the foreseeable future and the market value of the equity of Beta, Inc is $1 billion. Estimate the return on equity of Alpha, Inc. Assume there are no taxes, and the risk-free rate is 5%. (Enter the answer with no more nor less than two decimal places, and leave off the % sign. For example, if your answer is 13.97% you should enter it as 13.97 NOT 0.14 nor 14)

Answer: _____________________

Question 8

Mango, Inc. has had debt with market value of $1 million that has paid a 6% coupon and has had an expiration date that is far, far away. The expected annual earnings before interest and taxes for the firm are $2 million and the firm has not grown, nor does it have plans for any growth. The firm however has just raised more equity to retire all its debt. If the required rate of return to equity-holders (after the capital structure change) is now 20%, what is the market value of the firm? Assume there are no taxes. (Enter just the number without the $ sign or a comma; round to the nearest whole dollar.)

Answer: _____________________

Question 9

Suppose all investors are risk-averse and hold diversified portfolios. You are evaluating a new energy company that is going to use wind and will have two divisions: an electricity production unit and a Sales unit. [Transportation of the electricity will be outsourced.] Your CEO and you are arguing about whether projects that emerge in the two units should have the same cost of capital (WACC), or whether the discount rates should be different. If different, what should be the relative magnitudes of the discount rates, that is, which unit Production or Sales should have the higher discount rate. Assume the discount rates of the two units are labeled as P and S, for the production and Sales units, respectively. What do you think?

Your Answer

S>P.

P>S.

Same discount rates for both divisions/units (P=S).

Question 10

NorthSouth Airlines has been granted permission to fly passengers between major U.S. cities. The new company faces competition from four airlines that operate between the major cities. The betas of the equity of the four major competitors (A, B, C, D) are 2.25, 2.50, 2.75, and 3.00; and the debt-to-equity ratios of these four companies (in the same order: A, B, C, D) are 0.21, 0.42, 0.63, 0.83. Although these D/E ratios vary, all airline debt is rated the same. Suppose the yield on airline debt is 7%, the risk-free rate is 3% and the expected market risk premium (the average difference between the market return and the risk-free rate) is 5%. What is the cost of capital (or discount rate) that you should use in valuing NorthSouth Airlines? (Enter the answer with no more nor less than two decimal places, and leave off the % sign. For example, if your answer is 13.97% you should enter it as 13.97 NOT 0.14 nor 14)

Answer: _____________________

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 – 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 – 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 – 1] / r

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

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

D. $2,500 = $500 [1 – 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)] – 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 – 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 Corporation’s 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 don’t 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 bond’s 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/(R–g) 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 Day’s Range 43.45 – 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 company’s stock is (about) $10,110 million.

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