Question
1.Shares in stock A are currently trading at $55 and a European call option written on A with a strike price of $40 is currently
1.Shares in stock A are currently trading at $55 and a European call option written on A with a strike price of $40 is currently trading at $15. Stock A is expected to be worth either $100 or $40 next year. The one-year risk-free interest rate is equal to:
A.50%.
B.0%.
C.25%.
D.12.5%.
2.
Consider the following risk-free government bonds with fixed coupons that are paid annually at the end of every year. None of these bonds has any callable or puttable features. Assume that the t=0 coupon has already been paid. The table below reports coupons, market prices, face values and the maturity date for each bond.
Bond | Coupon | Market Price | Face Value | Time to Maturity |
A | 3% | $100 | $100 | 18 Years |
B | 4% | $102 | $100 | 18 Years |
C | 5% | $103 | $100 | 18 Years |
After extensive research, you conclude that both bonds B and C are fairly valued. Which of the following claims regarding the value of bond A is correct?
Group of answer choices
A. Bond A is fairly valued.
B.Bond A is overvalued.
C.It is impossible to determine the relative value of bond A.
D.Bond A is undervalued.
3.
Bond A currently has a market price of $98, has two years to maturity, a 2% annual coupon and a face value of $100. Bond B currently has a market price of $99, has two years to maturity, a 1% annual coupon and a face value of $100. Which of the following statements regarding the values of the two bonds is correct?
A. Bond A is overvalued while bond B is undervalued.
B. Both bonds are undervalued.
C. Both bonds are overvalued.
D.Bond A is undervalued while bond B is overvalued.
4.Stock A is currently trading at $67 and is going to be worth either $70 or $60 next year. At the same time, stock B is currently worth $72 and is going to be worth either $90 or $30 next year. What is the value of a maximum option with one year to maturity which pays off the greater of the two stock prices next year, i.e., O1 = max(SA1,SB1)?
Group of answer choices
A. $139.00
B. $81.00
C. $23.33
D. $69.50
5.
In the context of a single-period binomial option pricing model with PV$1u = $0.15 and PV$1d = $0.35, we have the following:
Group of answer choices
A. a risk-free rate of 100%, p*u = 0.30 and p*d = 0.70.
B. a risk-free rate of 50%, p*u = 0.35 and p*d = 0.65.
C. a risk-free rate of 100%, p*u = 0.70 and p*d = 0.30.
D. a risk-free rate of 50%, p*u = 0.15 and p*d = 0.85.
6.
A high value for the current EV/Book Value of capital is consistent with:
Group of answer choices
A. a low value of the expected growth rate.
B. a large value for Economic Value Added (EVA).
C. a large value of the market risk premium.
D. a high value of the cost of capital.
7.
In the context of the single-period binomial option pricing valuation approach, a stock is currently trading at $6 and will be worth either $9 or $4 next year. A European call option with one year to maturity has a strike price of $4. The replicating portfolio of this European call option consists of:
Group of answer choices
A. buying 1 share of stock and borrowing PV($4) today at the risk-free rate.
B. selling 1 share of stock and borrowing PV($4) today at the risk-free rate.
C. selling 1 share of stock and lending PV($4) today at the risk-free rate.
D. buying 1 share of stock and lending PV($4) today at the risk-free rate.
8.
A company is currently trading at a P/D ratio of 40 and a P/E ratio of 8 and has an ROE of 25%. This company's cost of equity must be equal to:
Group of answer choices
A. 28.125%.
B. 23%.
C. 7.625%.
D. 20%.
9/You can double-glaze the windows of your house at a cost of $5000. The expected savings to your electricity bill are going to be either $2000 per year in perpetuity or $0 per year in perpetuity. From today's point of view, the probability of either event is 50%. However, by waiting one year, you will find out the expected value of the savings with certainty. Your opportunity cost of capital is 25%. What is the value today of the option to wait and find out what the expected savings will be next year?
Group of answer choices
A. $1500.
B. $1200.
C. $1000.
D. $2000.
10.
A large value for the current EV/EBITDA ratio can be caused by:
Group of answer choices
A. a low expected growth rate.
B. a low cost of capital.
C. a low reinvestment rate.
D. a low value of the rate of return on capital, ROC.
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