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1、CHAPTER 24The Many Different Kinds of DebtAnswers to Problem Sets1.a. High-grade utility bondsb. Industrial holding companiesc. Industrial bondsd. Railroadse. Asset-backed security.2.a. Decreasesb. Impossible to sayc. Impossible to say. For example, if the bond has a high coupon and is sold at a pre
2、mium at issue, the prospect of drawings at par could decrease value. For an original-issue discount bond, the effect could be reversed.3. a.You would like an issue of junior debt.b.You prefer it not to do so (unless it is also -junior debt). The existing property may not be sufficient to pay off you
3、r debt.4.a. First Boston Corporationb. Bank of America National Trust and Savings Associationc. d. Registerede. 103.0%.5. a. b. .04125 X 250 = $10.3 million on Feb 15, 1993. c. After making earlier sinking fund payments, $12.5 million remains to be repaid on Aug 15, 2022. d. 2008 (but see footnote 2
4、0 for some possible complications).6. Private placements: typically have simpler loan agreementswhich may nevertheless contain “custom” features; have more stringent covenants; are more easily renegotiated.7. a.False. Lenders usually retain some recourse; e.g., they may demand a completion guarantee
5、.b.True, but some new securities (e.g., Eurobonds) survive even when the original motive for issuing them disappears.c.False. The borrower has the option.d.True. But debt issues with weak covenants -suffered in such takeovers.e.True. The costs of renegotiation are less for -private placements.8. a.
6、1,000/47 = 21.28 b. 1,000/50 = $20.00 c. 21.28 X 41.50 = $883.12, or 88.31% d. 650/21.28 = $30.55 e. No (not if the investor is free to convert immediately) f. $12.22 (i.e., (910 - 650)/21.28 g. (47/41.50) - 1 = .13, or 13% h. When the price reaches 102.75% of face value.9. a.Falseb. Truec. Falsed.
7、True10.If the bond is issued at face value and investors demand a yield of 8.25%, then, immediately after the issue, the price will be $1,000. As time passes, the price will gradually rise to reflect accrued interest. For example, just before the first (semi-annual) coupon payment, the price will be
8、 $1,041.25, and then, upon payment of the coupon ($41.25), the price will drop to $1,000. This pattern will be repeated throughout the life of the bond as long as investors continue to demand a return of 8.25%.11.Answers here will vary, depending on the company chosen. Some key areas that should be
9、examined are: coupon rate, maturity, security, sinking fund provision, and call provision.12.Floating-rate bonds provide bondholders with protection against inflation and rising interest rates, but this protection is not complete. In practice, the extent of the protection depends on the frequency of
10、 the rate adjustments and the benchmark rate. (Not only can the yield curve shift, but yield spreads can shift as well.)Similarly, puttable bonds provide the bondholders with protection against an increase in default risk, but this protection is not absolute. If the companys problems suddenly become
11、 public knowledge, the value of the company may fall so quickly that bondholders might still suffer losses even if they put their bonds immediately.13.First mortgage bondholders will receive the $200 million proceeds from the sale of the fixed assets. The remaining $50 million of mortgage bonds then
12、 rank alongside the unsecured senior debentures. The remaining $100 million in assets will be divided between the mortgage bondholders and the senior debenture holders. Thus, the mortgage bondholders are paid in full, the senior debenture holders receive $50 million and the subordinated debenture ho
13、lders receive nothing.14.If the assets are sold and distributed according to strict precedence, the following distribution will result. In Subsidiary A, the $320 million of debentures will be paid off and ($500 million $320 million) = $180 million will be remitted to the parent. In Subsidiary B, the
14、 $180 million of senior debentures will be paid off and ($220 million $180 million) = $40 million of the $60 million subordinated debentures will be paid. In the holding company, the real estate will be sold and ($180 million + $80 million) = $260 million will be paid in partial satisfaction of
15、 the $400 million senior collateral trust bonds.15.a.Typically, a variable-rate mortgage has a lower interest rate than a comparable fixed-rate mortgage. Thus, you can buy a bigger house for the same mortgage payment if you use a variable-rate mortgage. The second consideration is risk. With a varia
16、ble-rate mortgage, the borrower assumes the interest rate risk (although in practice this is mitigated somewhat by the use of caps), whereas, with a fixed-rate mortgage, the lending institution assumes the risk.b.If borrowers have an option to prepay on a fixed-rate mortgage, they are likely to do s
17、o when interest rates are low. Of course, this is not the time that lenders want to be repaid because they do not want to reinvest at the lower rates. On the other hand, the option to prepay has little value if rates are floating, so floating rate mortgages reduce the reinvestment risk for holders o
18、f mortgage pass-through certificates.16.A sharp increase in interest rates reduces the price of an outstanding bond relative to the price of a newly issued bond. For a given call price, this implies that the value to the firm of the call provision is greater for the newly issued bond. Other things e
19、qual, the yield of the more recently issued bonds should be greater, reflecting the higher probability of call. Notice, however, that the outstanding bond will probably have a lower call price and perhaps a shorter period of call protection; these may be offsetting factors.17.If the company acts rat
20、ionally, it will call a bond as soon as the bond price reaches the call price. For a zero-coupon bond, this will never happen because the price will always be below the face value. For the coupon bond, there is some probability that the bond will be called. To put this somewhat differently, the comp
21、anys option to call is meaningless for the zero-coupon bond, but has some value for the coupon bond. Therefore, the price of the coupon bond (all else equal) will be less than the price of the zero, and, hence, the yield on the coupon bond will be higher.18.a.Using Figure 24.2 in the text, we can se
22、e that, if interest rates rise, the change in the price of the noncallable bond will be greater than the change in price of the callable bond.b. On that date, it will be in one partys interest to exercise its option, and the bonds will be repaid.19.See figure on next page.20.Alpha Corp.s net tangibl
23、e asset limit is 200 percent of senior debt. Therefore, with net tangible assets of $250 million, Alphas total debt cannot exceed $125 million. Alpha can issue an additional $25 million in senior debt.21.a.There are two primary reasons for limitations on the sale of company assets. First, coupo
24、n and sinking fund payments provide a regular check on the companys solvency. If the firm does not have the cash, the bondholders would like the shareholders to put up new money or default. But this check has little value if the firm can sell assets to pay the coupon or sinking fund contribution. Se
25、cond, the sale of assets in order to reinvest in more risky ventures harms the bondholders.b. The payment of dividends to shareholders reduces assets that can be used to pay off debt. In the extreme case, a dividend that is equal to the value of the assets leaves bondholders with nothing.c. If the e
26、xisting debt is junior, then the original debtholders lose by having the new debt rank ahead of theirs. If the existing debt is senior, then the issuance of additional senior debt means that the same amount of equity supports a greater amount of debt; i.e., the firms leverage has increased, and the
27、firm faces a greater probability of default. This harms the original debtholders.22.Project finance makes sense if the project is physically isolated from the parent, offers the lender tangible security and involves risks that are better shared between the parent and others. The best example is in t
28、he financing of major foreign projects, where political risk can often be minimized by involving international lenders.23.a.With a $1,000 face value for the bonds, a bondholder can convert one bond into: $1,000/$25 = 40 sharesThe conversion value is: 40 ´ $30 = $1,200b. A convertible sells at t
29、he conversion value only if the convertible is certain to be exercised. You can think of owning the convertible as equivalent to owning a bond plus an option to buy the shares. The price of the convertible bond exceeds the conversion value by the value of this call. Also, if the interest on the conv
30、ertible exceeds the dividends on forty shares of common stock, the convertibles value reflects this additional income.c. Yes. When Surplus calls, the price of the convertibles will fall to the conversion value. That is, bondholders will be forced to convert in order to escape the call. By not callin
31、g, Surplus is handing bondholders a free gift worth 25% of the bonds face value i.e., (130 105)/100, at the expense of the shareholders.24.a.If the fair rate of return on a 10-year zero-coupon non-convertible bond is 8%, then the price would be:10The conversion value is: 10 ´ $50 = $500By conve
32、rting, you would gain: $500 b.Investors are paying ($550.00 $463.19) = $86.81 for the option to buy ten shares.c. 9(i.e., the value of a comparable non-convertible bond)25.a.Assume a face value of $1,000. The conversion price is:b.The conversion value is: 27 ´ $47 = $1,269c.Yes, you should conv
33、ert because the value of the shares ($1,269) is greater than the maturity value of the bond.26.a.The yield to maturity on the bond is computed as follows:$1,000 = $532.15 ´ (1 + r)15 1,000/532.15 = 1.8792 = (1 + r)15 (1/15) = 1.0430 = (1 + r)r = 0.0430 = 4.30%b.The value of the non-convertible
34、bond would be:$1,000/(1.10)15The conversion option was worth:$532.15 c.Conversion value of the bonds at time of issue was:8.76 × d.The initial conversion price was:e.Call price in 2005 is:$603.71 ´6Therefore, the conversion price is:The increase in the conversion price reflects the accrete
35、d value of the bond since it has a zero coupon.f.If investors act rationally, they should put the bond back to Marriott as soon as the market price falls to the put exercise price.g.Call price in 2005 is:$603.71 ´727.The existing bonds provide $30,000 per year for 10 years and a payment of $1,0
36、00,000 in the tenth year. Assuming that all bondholders are exempt from income taxes, the market value of the bonds is:Thus, the debt could be repurchased with a payment of $569,880 today.From the standpoint of the company, the cash outflows associated with the bonds are $1,000,000 in the tenth year
37、, and $30,000 per year, less annual tax savings of (0.35 ´ $30,000) = $10,500. Therefore, the net cash outflow is ($30,000 $10,500) = $19,500 per year. To calculate the amount of new 10% debt supported by these cash flows, discount the after-tax cash flows at the after-tax interest rate (6.5%):
38、In other words, the value of these bonds to the firm is $672,908 and the market value of the bonds is $569,880. The firm could repurchase the bonds for $569,880 and then issue $672,908 of new 10% debt that would require cash outflows with a present value equal to that of the original debt. The firm
39、could also, of course, immediately pocket the difference ($103,028).Now suppose that bondholders are subject to personal income taxes. High-income investors (i.e., those in high income tax brackets) will favor low-coupon bonds and will bid up the prices of those bonds. If the low coupon bonds are wo
40、rth more to the high-income investor than they are to Dorlcote, then Dorlcote should not repurchase the bonds. (Note that, if Dorlcote issued the 3% bonds at face value and then repurchases the bonds for $569,880, then the company will be liable for taxes on the gain.)28.The advantages of setting up
41、 a separately financed company for Hubco stem primarily from the attempt to align the interests of various parties with the successful operation of the plant. For example, the construction firm was also a shareholder in order to ensure that the plant would run according to specifications. By making
42、it a separate entity, Hubco could also enter into contraction agreements without the need to gain approval from a parent company. Similarly, if Hubco failed, then no assets beyond the projects could be attached. Independence also allowed Hubco to design contracts with suppliers, customers, and fundi
43、ng sources to meet specific needs and/or concerns.29.a.In the case of the safe project, the payoff always exceeds $7 million, so that the lender will always receive the promised payment. Ms. Blavatsky has a 40% chance of receiving ($12.5 million - $7 million) = $5.5 million and a 60% chance of recei
44、ving ($8 million - $7 million) = $1 million. Thus, for the lender, the expected payoff is:(0.4 ´ $7 million) + (0.6 ´ $7 million) = $7 millionFor Ms. Blavatsky, the expected payoff is:(0.4 ´ $5.5 million) + (0.6 ´ $1 million) = $2.8 millionb. In the case of the risky project, the
45、re is a 40% chance of a $20 million payoff, in which case the lender will receive $7 million and Ms. Blavatsky $13 million. There is also a 60% chance of a $5 million payoff, in which case the lender will receive $5 million and Ms. Blavatsky nothing.For the lender, the expected payoff is:(0.4 ´
46、 $7 million) + (0.6 ´ $5 million) = $5.8 millionFor Ms. Blavatsky, the expected payoff is:(0.4 ´ $13 million) + (0.6 ´ $0 million) = $5.2 millionThus, the lender will want Ms. Blavatsky to choose the safe project while Ms. Blavatsky will prefer the risky project.Suppose now that the d
47、ebt is convertible into 50% of the value of the firm. For the safe project, there is a 40% chance the lender will be faced with a choice of $7 million or 50% of the $12.5 million, which is $6.25 million; the lender will choose the former. There is also a 60% chance the lender will face a choice of $7 million or 50% of $8 million, which is $4 million; the lender will choose $7 million. Thus, the expected payoff to the lender from the safe project is:(0.4 ´ $7 millio
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