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Essentials Of Investments 8th Ed Bodie 投资学精要(第八版)课后习题答案Chap010

Essentials Of Investments 8th Ed Bodie 投资学精要(第八版)课后习题答案Chap010
Essentials Of Investments 8th Ed Bodie 投资学精要(第八版)课后习题答案Chap010

CHAPTER 10

BOND PRICES AND YIELDS 1.

a.Catastrophe bond. Typically issued by an insurance company. They are

similar to an insurance policy in that the investor receives coupons and par

value, but takes a loss in part or all of the principal if a major insurance

claims is filed against the issuer. This is provided in exchange for higher

than normal coupons.

b.Eurobonds are bonds issued in the currency of one country but sold in

other national markets.

c.Zero-coupon bonds are bonds that pay no coupons, but do pay a par value

at maturity.

d.Samurai bond. Yen-denominated bonds sold in Japan by non-Japanese

issuers are called Samurai bonds.

e.Junk bond. Those rated BBB or above (S&P, Fitch) or Baa and above

(Moody’s) are considered investment grade bonds, while lower-rated

bonds are classified as speculative grade or junk bonds.

f.Convertible bond. Convertible bonds may be exchanged, at the

bondholder’s discretion, for a specified number of shares of stock.

Convertible bondholders “pay” for this option by accepting a lower

coupon rate on the security.

g.Serial bond. A serial bond is an issue in which the firm sells bonds with

staggered maturity dates. As bonds mature sequentially, the principal

repayment burden for the firm is spread over time just as it is with a

sinking fund. Serial bonds do not include call provisions.

h.Equipment obligation bond. A bond that is issued with specific equipment

pledged as collateral against the bond.

i.Original issue discount bonds are less common than coupon bonds issued

at par. These are bonds that are issued intentionally with low coupon rates

that cause the bond to sell at a discount from par value.

j.Indexed bond. Indexed bonds make payments that are tied to a general price index or the price of a particular commodity.

2.Callable bonds give the issuer the option to extend or retire the bond at the call

date, while the extendable or puttable bond gives this option to the bondholder. 3.

a.YTM will drop since the company has more money to pay the interest on

its bonds.

b.YTM will increases since the company has more debt and the risk to the

existing bond holders is now increased.

c.YTM will decrease. Since the firm has either fewer current liabilities or an

increase in various current assets.

4. Semi-annual coupon = 1,000 x .06 x .5 = $30. One month of accrued interest is 30 x (30/182) 4.94

5. at a price of 117 the invoice price is 1,170 + 4.945 = $1,174.95

5. Using a financial calculator, PV = -74

6.22, FV = 1,000, t=5, pmt = 0. The YTM is 6.0295%.

Using a financial calculator, PV = -730.00, FV = 1,000, t=5, pmt = 0. The YTM is 6.4965%.

6. A bond’s coupon interest payments and principal repayment are not affected by changes in market rates. Consequently, if market rates increase, bond investors in the secondary markets are not willing to pay as much for a claim on a given bond’s fixed interest and principal payments as they would if market rates were lower. This relationship is apparent from the inverse relationship between interest rates and present value. An increase in the discount rate (i.e., the market rate) decreases the present value of the future cash flows.

7. The bond callable at 105 should sell at a lower price because the call provision is more valuable to the firm. Therefore, its yield to maturity should be higher.

8. The bond price will be lower. As time passes, the bond price, which is now above par value, will approach par.

9. Current yield = 48 / 970 = 4.95%

10. Using a financial calculator, FV = 1,000, t=7, pmt = 60, r=7. Price = 946.11 The HPR = (946.11 – 1000 + 60) / 1000 = .0061 or 0.61% gain.

11. Zero coupon bonds provide no coupons to be reinvested. Therefore, the final value of the investor's proceeds from the bond is independent of the rate at which coupons could be reinvested (if they were paid). There is no reinvestment rate uncertainty with zeros. 12.

a. Effective annual rate on three-month T-bill:

%00.101000.01)02412

.1(1645,97000,10044

==-=-??

?

?? b. Effective annual interest rate on coupon bond paying 5% semiannually:

(1.05)2 – 1 = 0.1025 = 10.25%

Therefore, the coupon bond has the higher effective annual interest rate.

13. The effective annual yield on the semiannual coupon bonds is 8.16%. If the annual coupon bonds are to sell at par they must offer the same yield, which requires an annual coupon of 8.16%.

14. a. The bond pays $50 every six months.

Current price:

[$50 ? Annuity factor(4%, 6)] + [$1000 ? PV factor(4%, 6)] = $1,052.42

Assuming the market interest rate remains 4% per half year, price six months from now:

[$50 ? Annuity factor(4%, 5)] + [$1000 ? PV factor(4%, 5)] = $1,044.52

b. Rate of return =

months

six per %00.40400.042

.052,1$90

.7$50$42.052,1$)42.052,1$52.044,1($50$==-=-+

15.

a. Use the following inputs: n = 40, FV = 1000, PV = –950, PMT = 40. You will find that the yield to maturity on a semi-annual basis is 4.26%. This implies a bond equivalent yield to maturity of: 4.26% ? 2 = 8.52%

Effective annual yield to maturity = (1.0426)2 – 1 = 0.0870 = 8.70% b. Since the bond is selling at par, the yield to maturity on a semi-annual basis is the same as the semi-annual coupon, 4%. The bond equivalent yield to maturity is 8%.

Effective annual yield to maturity = (1.04)2 – 1 = 0.0816 = 8.16% c. Keeping other inputs unchanged but setting PV = –1050, we find a bond equivalent yield to maturity of 7.52%, or 3.76% on a semi-annual basis.

Effective annual yield to maturity = (1.0376)2 – 1 = 0.0766 = 7.66%

16. Since the bond payments are now made annually instead of semi-annually, the bond equivalent yield to maturity is the same as the effective annual yield to maturity. The inputs are: n = 20, FV = 1000, PV = –price, PMT = 80. The resulting yields for the three bonds are:

Bond equivalent yield =Effective annual yield

$950 8.53%$1,000 8.00%$1,050 7.51%Bond Price

The yields computed in this case are lower than the yields calculated with semi-annual coupon payments. All else equal, bonds with annual payments are less

attractive to investors because more time elapses before payments are received. If the bond price is the same with annual payments, then the bond's yield to maturity is lower.

17.

Time Inflation in year just ended Par value

Coupon

payment Principal repayment 0$1,000.00

12%$1,020.00 $40.80 023%$1,050.60 $42.02 0

31%$1,061.11

$42.44

$1,061.11

Nominal return = price

Initial on

appreciati ice Pr Interest +

Real return =

1Inf lation

1return

Nominal 1-++

Second year

Third year

Nominal return: 071196.01020$60

.30$02.42$=+

050400.060.1050$51

.10$44.42$=+

Real return:

%00.40400.0103

.1071196

.1==-

%00.40400.0101

.105040

.1==- The real rate of return in each year is precisely the 4% real yield on the bond.

18.Remember that the convention is to use semi-annual periods:

Price Maturity

(years)

Maturity

(half-years)

Semi-annual

YTM

Bond equivalent

YTM

$400.00 2040 2.32% 4.63%

$500.00 2040 1.75% 3.50%

$500.00 1020 3.53%7.05%

$376.89 1020 5.00%10.00%

$456.39 1020 4.00%8.00%

$400.00 11.6823.36 4.00%8.00%

https://www.wendangku.net/doc/9b3651511.html,ing a financial calculator, PV = -800, FV = 1,000, t=10, pmt =80. The YTM is

11.46%.

Using a financial calculator, FV = 1,000, t=9, pmt =80, r=11.46%. The new price will be 811.70. Thus, the capital gain is $11.70.

20.The reported bond price is: 100 2/32 percent of par = $1,000.625

However, 15 days have passed since the last semiannual coupon was paid, so accrued interest equals: $35 x (15/182) = $2.885

The invoice price is the reported price plus accrued interest: $1003.51

21.If the yield to maturity is greater than current yield, then the bond offers the prospect of

price appreciation as it approaches its maturity date. Therefore, the bond is selling

below par value.

22.The coupon rate is below 9%. If coupon divided by price equals 9%, and price is less

than par, then coupon divided by par is less than 9%.

23.The solution is obtained using Excel:

A

B D

E

1234Settlement da 5Maturity date 6Annual coupo 7Yield to matur 8Redemption v 9Coupon paym 101112Flat price (% 13Days since la 14Days in coupo 15Accrued inter 16

Invoice price B12+B15

2/22/2010DATE(2006,2,22)3/15/2018DATE(2014,3,15)C 5.50% coupon bond,maturing March 15, 2018

Formula in Column B

101.03327

PRICE(B4,B5,B6,B7,B8,B9)0.0550.05341002

2.43094(B13/B14)*B6*100/210

3.46393160COUPDAYBS(B4,B5,2,1)181COUPDAYS(B4,B5,2,1)

24. The solution is obtained using Excel:

A

B

C

D

E

F

G 1Annual 2coupons coupons 342/22/20102/22/201053/15/2018

3/15/2018

60.0550.0557102102810010092110110.051927

0.051889

121314

Semiannual Settlement date Maturity date

Annual coupon rate Formula in cell E11:YIELD(E4,E5,E6,E7,E8,E9)

Bond price

Redemption value (% of face value)Coupon payments per year Yield to maturity (decimal)

25. The stated yield to maturity equals 16.075%:

[n = 10; PV = 900; FV = 1000; PMT = 140]

Based on expected coupon payments of $70 annually, the expected yield to maturity is: 8.526%

26. The bond is selling at par value. Its yield to maturity equals the coupon rate, 10%. If the first-year coupon is reinvested at an interest rate of r percent, then total proceeds at the end of the second year will be: [100 (1 + r) + 1100]. Therefore, realized compound yield to maturity will be a function of r as given in the following table:

r Total proceeds 1000/oceeds Pr

10% $1210 %00.101000.011000/1210==- 12% $1212

%09.101009.011000/1212==-

27. April 15 is midway through the semi-annual coupon period. Therefore, the invoice price will be higher than the stated ask price by an amount equal to one-half of the semiannual coupon. The ask price is 101.125 percent of par, so the invoice price is: $1,011.25 + (1/2 ? $50) = $1,036.25

28. Factors that might make the ABC debt more attractive to investors, therefore justifying a lower coupon rate and yield to maturity, are:

? The ABC debt is a larger issue and therefore may sell with greater liquidity.

? An option to extend the term from 10 years to 20 years is favorable if interest rates ten years from now are lower than today’s interest rates. In contrast, if interest rates are rising, the investor can present the bond for payment and reinvest the money for better returns. ? In the event of trouble, the ABC debt is a more senior claim. It has more underlying security in the form of a first claim against real property. ? The call feature on the XYZ bonds makes the ABC bonds relatively more attractive since ABC bonds cannot be called from the investor. ? The XYZ bond has a sinking fund requiring XYZ to retire part of the issue each year. Since most sinking funds give the firm the option to retire this amount at the lower of par or market value, the sinking fund can work to the detriment of bondholders.

29.

a. The floating-rate note pays a coupon that adjusts to market levels.

Therefore, it will not experience dramatic price changes as market yields fluctuate. The fixed rate note therefore will have a greater price range.

b. Floating rate notes may not sell at par for any of the several reasons: The yield spread between one-year Treasury bills and other money market instruments of comparable maturity could be wider than it was when the bond was issued.

The credit standing of the firm may have eroded relative to Treasury securities that have no credit risk. Therefore, the 2% premium would become insufficient to sustain the issue at par.

The coupon increases are implemented with a lag, i.e., once every year.

During a period of rising interest rates, even this brief lag will be reflected

in the price of the security.

c.The risk of call is low. Because the bond will almost surely not sell for

much above par value (given its adjustable coupon rate), it is unlikely that

the bond will ever be called.

d.The fixed-rate note currently sells at only 93% of the call price, so that

yield to maturity is above the coupon rate. Call risk is currently low, since

yields would have to fall substantially for the firm to use its option to call

the bond.

e.The 9% coupon notes currently have a remaining maturity of fifteen years

and sell at a yield to maturity of 9.9%. This is the coupon rate that would

be needed for a newly issued fifteen-year maturity bond to sell at par.

f.Because the floating rate note pays a variable stream of interest payments

to maturity, its yield-to-maturity is not a well-defined concept. The cash

flows one might want to use to calculate yield to maturity are not yet

known. The effective maturity for comparing interest rate risk of floating

rate debt securities with other debt securities is better thought of as the

next coupon reset date rather than the final maturity date. Therefore,

“yield-to-recoupon date” is a more meaningful measure of return.

30.

a.The bond sells for $1,124.72 based on the 3.5% yield to maturity:

[n = 60; i = 3.5; FV = 1000; PMT = 40]

Therefore, yield to call is 3.368% semiannually, 6.736% annually:

[n = 10; PV = 1124.72; FV = 1100; PMT = 40]

b.If the call price were $1050, we would set FV = 1050 and redo part (a) to

find that yield to call is 2.976% semi-annually, 5.952% annually. With a

lower call price, the yield to call is lower.

c.Yield to call is 3.031% semiannually, 6.062% annually:

[n = 4; PV = 1124.72 ; FV = 1100; PMT = 40]

31. The price schedule is as follows:

Imputed interest (Increase in constant yield value)0 (now)20 years

$214.55

119231.71$17.16 218250.2518.54191925.93200

1000

74.07

Year Remaining Maturity (T)Constant yield value

1000/(1.08)T

32. The bond is issued at a price of $800. Therefore, its yield to maturity is 6.8245%. Using the constant yield method, we can compute that its price in one year (when maturity falls to 9 years) will be (at an unchanged yield) $814.60, representing an increase of $14.60. Total taxable income is: $40 + $14.60 = $54.60 33.

a. The yield to maturity of the par bond equals its coupon rate, 8.75%. All else equal, the 4% coupon bond would be more attractive because its coupon rate is far below current market yields, and its price is far below the call price. Therefore, if yields fall, capital gains on the bond will not be limited by the call price. In contrast, the 8.75% coupon bond can increase in value to at most $1050, offering a maximum possible gain of only 5%. The disadvantage of the 8.75% coupon bond in terms of

vulnerability to a call shows up in its higher promised yield to maturity.

b. If an investor expects rates to fall substantially, the 4% bond offers a greater expected return.

c. Implicit call protection is offered in the sense that any likely fall in yields would not be nearly enough to make the firm consider calling the bon

d. In this sense, the call feature is almost irrelevant.

34. True. Under the expectations hypothesis, there are no risk premia built into bond prices. The only reason for long-term yields to exceed short-term yields is an expectation of higher short-term rates in the future.

35. If the yield curve is upward sloping, you cannot conclude that investors expect short-term interest rates to rise because the rising slope could be due to either expectations of future increases in rates or the demand of investors for a risk premium on long-term bonds. In fact the yield curve can be upward sloping even in the absence of expectations of future increases in rates.

36.

Zero 8% coupon 10% coupon Current prices

$463.19 $1,000 $1,134.20 Price one year from now $500.25 $1,000 $1,124.94 Price increase $37.06 $0.00 ($9.26)Coupon income $0.00 $80.00 $100.00 Income

$37.06 $80.00 $90.74 Rate of Return

8.00%8.00%8.00%

37. Uncertain. Lower inflation usually leads to lower nominal interest rates.

Nevertheless, if the liquidity premium is sufficiently great, long-term yields can exceed short-term yields despite expectations of falling short rates. 38.

a. We obtain forward rates from the following table:

Maturity

(years) YTM Forward rate

Price (for part c) 1 10.0% $909.09 ($1000/1.10) 2 11.0% 12.01% [(1.112/1.10) – 1] $811.62 ($1000/1.112) 3 12.0% 14.03% [(1.123/1.112) – 1]

$711.78 ($1000/1.123)

b. We obtain next year’s prices and yields by discounting each zero’s face value at the forward rates derived in part (a):

Maturity (years) Price YTM

1 $892.78 [ = 1000/1.1201] 12.01% 2

$782.93

[ = 1000/(1.1201 x 1.1403)] 13.02%

Note that this year’s upward sloping yield curve implies, according to the expe ctations hypothesis, a shift upward in next year’s curve.

c. Next year, the two-year zero will be a one-year zero, and it will therefore sell at: $1000/1.1201 = $892.78

Similarly, the current three-year zero will be a two-year zero, and it will sell for: $782.93

Expected total rate of return:

two-year bond:

%00.101000.0162

.811$78

.892$==-

three-year bond:

%00.101000.0178

.711$93

.782$==-

39.

a. The forward rate (f 2) is the rate that makes the return from rolling over one-year bonds the same as the return from investing in the two-year maturity bond and holding to maturity:

1.08 ? (1 + f 2) = (1.09)2 ? f 2 = 0.1001 = 10.01%

b. According to the expectations hypothesis, the forward rate equals the expected value of the short-term interest rate next year, so the best guess would be 10.01%.

c. According to the liquidity preference hypothesis, the forward rate exceeds the expected short-term interest rate next year, so the best guess would be less than 10.01%.

40. The top row must be the spot rates. The spot rates are (geometric) averages of the forward rates, and the top row is the average of the bottom row. For example, the spot rate on a two-year investment (12%) is the average of the two forward rates 10% and 14.0364%: (1.12)2 = 1.10 ? 1.140364 = 1.2544

41. Using a financial calculator, PV = 100, t=3, pmt=0, r=6.5. Price or FV = 120.795. Using a financial calculator, PV = 100, t=4, pmt=0, r=7.0. Price or FV = 131.080.

Setting PV = -120.795, FV = 131.080, t=1, pmt=0, solving for r produces the answer of 8.51%.

42.

a. Initial price, P 0 = 705.46 [n = 20; PMT = 50; FV = 1000; i = 8] Next year's price, P 1 = 793.29 [n = 19; PMT = 50; FV = 1000; i = 7]

%54.191954.046

.705$)

46.705$29.793($50$HPR ==-+=

b. Using OID tax rules, the cost basis and imputed interest under the constant yield method are obtained by discounting bond payments at the original 8% yield to maturity, and simply reducing maturity by one year at a time:

Constant yield prices: compare these to actual prices to compute capital gains P 0 = $705.46 P 1 = $711.89 so implicit interest over first year = $6.43 P 2 = $718.84 so implicit interest over second year = $6.95 Tax on explicit plus implicit interest in first year

= 0.40 ? ($50 + $6.43) = $22.57

Capital gain in first year = Actual price at 7% YTM – constant yield price

= $793.29 – $711.89 = $81.40 Tax on capital gain = 0.30 ? $81.40 = $24.42

Total taxes = $22.57 + $24.42 = $46.99 c. After tax HPR %88.121288.046

.705$99

.46$)46.705$29.793($50$==--+=

d. Value of bond after two years equals $798.82 [using n = 18; i = 7]

Total income from the two coupons, including reinvestment income:

($50 ? 1.03) + $50 = $101.50

Total funds after two years: $798.82 + $101.50 = $900.32

Therefore, the $705.46 investment grows to $900.32 after two years.

705.46 (1 + r)2 = 900.32 ? r = 0.1297 = 12.97% e.

Coupon received in first year: $50.00 Tax on coupon @ 40%

– 20.00 Tax on imputed interest (0.40 ? $6.43) – 2.57 Net cash flow in first year $27.43

If you invest the year-1 cash flow at an after-tax rate of:

3% ? (1 – 0.40) = 1.8% then, by year 2, it will grow to:

$27.43 ? 1.018 = $27.92

You sell the bond in the second year for: $798.82

Tax on imputed interest in second year: – 2.78 [0.40 ? $6.95]

Coupon received in second year, net of tax: + 30.00 [$50 ? (1 – 0.40)]

Capital gains tax on sales price: – 23.99 [0.30 ? ($798.82 – $718.84)] using constant yield value

CF from first year's coupon (reinvested): + 27.92 [from above]

TOTAL $829.97

Thus, after two years, the initial investment of $705.46 grows to $829.97:

705.46 ? (1 + r)2 = 829.97 ? r = 0.0847 = 8.47%

CFA 1

a.(3) The yield on the callable bond must compensate the investor for the

risk of call.

Choice (1) is wrong because, although the owner of a callable bond

receives principal plus a premium in the event of a call, the interest rate at

which he can subsequently reinvest will be low. The low interest rate that

makes it profitable for the issuer to call the bond makes it a bad deal for

the bond’s holder.

Choice (2) is wrong because a bond is more apt to be called when interest

rates are low. There will be an interest saving for the issuer only if rates

are low.

b.(3)

c.(2)

d.(4)

CFA 2

a.The maturity of each bond is 10 years, and we assume that coupons are paid

semiannually. Since both bonds are selling at par value, the current yield to

maturity for each bond is equal to its coupon rate.

If the yield declines by 1%, to 5% (2.5% semiannual yield), the Sentinal

bond will increase in value to 107.79 [n=20; i = 2.5%; FV = 100; PMT = 3]

The price of the Colina bond will increase, but only to the call price of 102.

The present value of scheduled payments is greater than 102, but the call

price puts a ceiling on the actual bond price.

b.If rates are expected to fall, the Sentinal bond is more attractive: since it is

not subject to being called, its potential capital gains are higher.

If rates are expected to rise, Colina is a better investment. Its higher coupon

(which presumably is compensation to investors for the call feature of the

bond) will provide a higher rate of return than the Sentinal bond.

c.An increase in the volatility of rates in creases the value of the firm’s option

to call back the Colina bond. [If rates go down, the firm can call the bond,

which puts a cap on possible capital gains. So, higher volatility makes the

option to call back the bond more valuable to the issuer.] This makes the

Colina bond less attractive to the investor.

CFA 3

Market conversion value = value if converted into stock = 20.83 $28 = $583.24

Conversion premium = Bond value – market conversion value

= $775 – $583.24 = $191.76

CFA 4

a.The call provision requires the firm to offer a higher coupon (or higher

promised yield to maturity) on the bond in order to compensate the

investor for the firm's option to call back the bond at a specified call price

if interest rates fall sufficiently. Investors are willing to grant this valuable

option to the issuer, but only for a price that reflects the possibility that the

bond will be called. That price is the higher promised yield at which they

are willing to buy the bond.

b.The call option reduces the expected life of the bond. If interest rates fall

substantially so that the likelihood of call increases, investors will treat the

bond as if it will "mature" and be paid off at the call date, not at the stated

maturity date. On the other hand if rates rise, the bond must be paid off at

the maturity date, not later. This asymmetry means that the expected life

of the bond will be less than the stated maturity.

c.The advantage of a callable bond is the higher coupon (and higher

promised yield to maturity) when the bond is issued. If the bond is never

called, then an investor will earn a higher realized compound yield on a

callable bond issued at par than on a non-callable bond issued at par on the

same date. The disadvantage of the callable bond is the risk of call. If

rates fall and the bond is called, then the investor receives the call price

and will have to reinvest the proceeds at interest rates that are lower than

the yield to maturity at which the bond was originally issued. In this event,

the firm's savings in interest payments is the investor's loss.

CFA 5

a.

(1) Current yield = Coupon/Price = 70/960 = 0.0729 = 7.29%

(2) YTM = 3.993% semiannually or 7.986% annual bond equivalent

yield

[n = 10; PV = (-)960; FV = 1000; PMT = 35]

Then compute the interest rate.

(3)Realized compound yield is 4.166% (semiannually), or 8.332% annual

bond equivalent yield. To obtain this value, first calculate the future value of

reinvested coupons. There will be six payments of $35 each, reinvested

semiannually at a per period rate of 3%:

[PV = 0; PMT = $35; n = 6; i = 3%] Compute FV = $226.39

The bond will be selling at par value of $1,000 in three years, since coupon is

forecast to equal yield to maturity. Therefore, total proceeds in three years

will be $1,226.39. To find realized compound yield on a semiannual basis

(i.e., for six half-year periods), we solve:

$960 ? (1 + y realized)6 = $1,226.39 ? y realized = 4.166% (semiannual)

b.Shortcomings of each measure:

(1) Current yield does not account for capital gains or losses on bonds

bought at prices other than par value. It also does not account for reinvestment

income on coupon payments.

(2) Yield to maturity assumes that the bond is held to maturity and that all

coupon income can be reinvested at a rate equal to the yield to maturity.

(3) Realized compound yield (horizon yield) is affected by the forecast of

reinvestment rates, holding period, and yield of the bond at the end of the investor's

holding period.

贵州省遵义县

第四部分投资环境 第一节地理位置 遵义县地处贵州省北部,东接湄潭、瓮安县,南邻息烽、开阳县,西连仁怀、金沙县,北界桐梓县、绥阳县、红花岗区、汇川区。位于东经106°17′22″至107°25′25″,北纬27°13′15″至 28°03′03″之间。全县东西长112.5公里,南北宽89.3公里,土地总面积4092.66平方公里。县内基础设施完善,公路、铁路四通八达,遵南大道、海尔大道将县城与市区相连,川黔铁路、210国道、

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目录 第一节遵义市播州区一般公共预算收入和油菜籽产量现状 (1) 第二节遵义市播州区一般公共预算收入指标分析 (3) 一、遵义市播州区一般公共预算收入现状统计 (3) 二、全省一般公共预算收入现状统计 (3) 三、遵义市播州区一般公共预算收入占全省一般公共预算收入比重统计 (3) 四、遵义市播州区一般公共预算收入(2017-2019)统计分析 (4) 五、遵义市播州区一般公共预算收入(2018-2019)变动分析 (4) 六、全省一般公共预算收入(2017-2019)统计分析 (5) 七、全省一般公共预算收入(2018-2019)变动分析 (5) 八、遵义市播州区一般公共预算收入同全省一般公共预算收入(2018-2019)变动对比分析 (6) 第三节遵义市播州区油菜籽产量指标分析 (7) 一、遵义市播州区油菜籽产量现状统计 (7) 二、全省油菜籽产量现状统计分析 (7) 三、遵义市播州区油菜籽产量占全省油菜籽产量比重统计分析 (7) 四、遵义市播州区油菜籽产量(2017-2019)统计分析 (8) 五、遵义市播州区油菜籽产量(2018-2019)变动分析 (8)

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Html网页显示js轮播图

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贵州省遵义市播州区普通高中毕业生和在校学生数量3年数据研究报告2020版

贵州省遵义市播州区普通高中毕业生和在校学生数量3年数据研究报告2020版

序言 本报告以数据为基点对遵义市播州区普通高中毕业生和在校学生数量的现状及发展脉络进行了全面立体的阐述和剖析,相信对商家、机构及个人具有重要参考借鉴价值。 遵义市播州区普通高中毕业生和在校学生数量数据研究报告知识产权为发布方即我公司天津旷维所有,其他方引用我方报告均需注明出处。 遵义市播州区普通高中毕业生和在校学生数量数据研究报告主要收集国家政府部门如中国国家统计局及其它权威机构数据,并经过专业统计分析处理及清洗。数据严谨公正,通过整理及清洗,进行遵义市播州区普通高中毕业生和在校学生数量的分析研究,整个报告覆盖普通高中学校数量,普通高中毕业生数量,普通高中在校学生数量等重要维度。

目录 第一节遵义市播州区普通高中毕业生和在校学生数量现状 (1) 第二节遵义市播州区普通高中学校数量指标分析 (3) 一、遵义市播州区普通高中学校数量现状统计 (3) 二、全省普通高中学校数量现状统计 (3) 三、遵义市播州区普通高中学校数量占全省普通高中学校数量比重统计 (3) 四、遵义市播州区普通高中学校数量(2017-2019)统计分析 (4) 五、遵义市播州区普通高中学校数量(2018-2019)变动分析 (4) 六、全省普通高中学校数量(2017-2019)统计分析 (5) 七、全省普通高中学校数量(2018-2019)变动分析 (5) 八、遵义市播州区普通高中学校数量同全省普通高中学校数量(2018-2019)变动对比分析 (6) 第三节遵义市播州区普通高中毕业生数量指标分析 (7) 一、遵义市播州区普通高中毕业生数量现状统计 (7) 二、全省普通高中毕业生数量现状统计分析 (7) 三、遵义市播州区普通高中毕业生数量占全省普通高中毕业生数量比重统计分析 (7) 四、遵义市播州区普通高中毕业生数量(2017-2019)统计分析 (8) 五、遵义市播州区普通高中毕业生数量(2018-2019)变动分析 (8)

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贵州市遵义市播州区2020-2021学年七年级(上)期末数学试卷 无答案

2020-2021学年贵州市遵义市播州区七年级(上)期末数学试卷一、选择题(本题共12小题,每小题4分,共48分,在每小题给出的四个选项中只有一项是符合题目要求的,请用2B铅笔把答题卡上对应题目的答案标号涂黑、涂满)1.2020的倒数是() A.﹣2020B.2020C.D. 2.为满足群众精神文化需要,2016年播州区投入3000万元修建了新图书馆,馆内开设了期刊阅览室、视障读者阅览室、电子阅览室、地方文献室等体验区,其中3000万用科学记数法表示为() A.3×108B.3×107C.3×106D.3×103 3.若单项式的系数、次数分别是a、b,则() A.a=,b=6B.a=,b=7C.a=,b=7D.a=,b=6 4.如图是一个正方体纸盒的展开图,将它折成正方体后与“乡”字相对的面上的字是() A.我B.爱C.播D.州 5.下列各组数中,互为相反数的是() A.+3与|﹣3|B.(﹣3)2与﹣32C.﹣|﹣3|与﹣(+3)D.+(﹣3)与﹣|+3| 6.关于x的方程a﹣x﹣(x+1)=15的解是x=﹣2,则a的值是()A.12B.﹣14C.18D.22

7.下列各式运算结果正确的是() A.2x+2y=4xy B.﹣x+x=﹣2x C.7y2﹣4y2=3D.8ab2﹣8b2a=0 8.《九章算术》中有一道“盈不足术”的问题:今有人共买物,人出八,盈三;人出七,不足四,问人数几何?译文为:现有一些人共同买一个物品,每人出8元,还盈余3元:每人出7元,还差4元,问共有几人?设共有x人,所列方程正确的是() A.8x﹣3=7x+4B.8x+3=7x﹣4C.8x﹣4=7x+3D.3﹣8x=4+7x 9.中国人最先使用负数,魏晋时期的数学家刘徽在“正负术”的注文中指出,可将算筹(小棍形状的记数工具)正放表示正数,斜放表示负数,如图,根据刘徽的这种表示方法,观察图①,可推算图②所得到的数值为() A.2B.﹣2C.8D.﹣8 10.下列各式进行的变形中,不正确的是() A.若3a=2b,则3a+2=2b+2B.若3a=2b,则3a﹣5=2b﹣5 C.若3a=2b,则=D.若3a=2b,则9a=4b 11.如果A,B、C三点在同一直线上,且线段AB=6cm,BC=4cm,若M为AC的中点,那么A,M两点之间的距离为() A.5cm B.1cm C.5cm或1cm D.无法确定 12.观察下列式子:1,2,根据你发现的规律,则第10个等式为() A.9B.11

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2020-2021学年贵州市遵义市播州区八年级(上)期末数学试卷 一、选择题(本题共12小题,每小题4分,共48分,在每小题给出的四个选项中只有一项是符合题目要求的,请用28铅笔把答题卡上对应题目的答案标号涂黑、涂满) 1.下列长度的三条线段首尾相连能组成三角形的是() A.5,6,10B.2,5,8C.5,6,11D.3,4,8 2.下列交通安全标志中,是轴对称图形的是() A.B. C.D. 3.下列运算正确() A.a2+a3=a5B.a2?a3=a6 C.(a2)3=a8D.(﹣a)2?a3=a5 4.若单项式﹣8x a y和的积为﹣2x5y6,则ab的值为() A.﹣15B.2C.15D.30 5.一副三角板按如图所示放置,BC∥DF,则∠ACF的度数为() A.10°B.15°C.20°D.25° 6.将0.000025用科学记数法表示为() A.2.5×10﹣5B.2.5×10﹣6C.2.5×10﹣4D.0.25×10﹣4 7.如图,△ABC是等边三角形,DE‖BC,若AB=7,BD=3,则△ADE的周长为()

A.4B.9C.12D.21 8.一个正多边形,它的一个内角恰好是一个外角的5倍,则这个正多边形的边数是()A.八B.九C.十D.十二 9.在正方形方格纸中,每个小方格的顶点叫做格点,以格点连线为边的三角形叫做格点三角形如图是5×7的正方形方格纸,以点D,E为两个顶点作格点三角形,使所作的格点三角形与△ABC全等,这样的格点三角形最多可以画出() A.2个B.4个C.6个D.8个 10.若关于x的方程=有解,则() A.m<3B.m≥3C.m≠3D.m>3 11.如图,在△ABC中,AD平分∠BAC,AB=10,AC=8,则△ABD与△ACD的面积比为() A.5:4B.3:4C.4:5D.4:3 12.如图,在△ABC中,AC=BC=8,∠ACB=120°,BD平分∠ABC交AC于点D,点E、F分别是线段BD,BC上的动点,则CE+EF的最小值是()

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贵州省遵义市播州区人均地区生产总值和乡村从业人员数量3年数据洞察报告2020版

贵州省遵义市播州区人均地区生产总值和乡村从业人员数量3年数据洞察报告2020版

报告导读 本报告对遵义市播州区人均地区生产总值和乡村从业人员数量做出全面梳理,从人均地区生产总值,乡村从业人员数量等重要指标切入,并对现状及发展态势做出总结,以期帮助需求者找准潜在机会,为投资决策保驾护航。遵义市播州区人均地区生产总值和乡村从业人员数量数据洞察报告知识产权为发布方即我公司天津旷维所有,其他方引用我方报告均需注明出处。本报告借助客观的理论数据为基础,数据来源于权威机构如中国国家统计局等,力求准确、客观、严谨,透过数据分析,从而帮助需求者加深对遵义市播州区人均地区生产总值和乡村从业人员数量的理解,洞悉遵义市播州区人均地区生产总值和乡村从业人员数量发展趋势,为制胜战役的关键决策提供强有力的支持。

目录 第一节遵义市播州区人均地区生产总值和乡村从业人员数量现状 (1) 第二节遵义市播州区人均地区生产总值指标分析 (3) 一、遵义市播州区人均地区生产总值现状统计 (3) 二、全省人均地区生产总值现状统计 (3) 三、遵义市播州区人均地区生产总值占全省人均地区生产总值比重统计 (3) 四、遵义市播州区人均地区生产总值(2017-2019)统计分析 (4) 五、遵义市播州区人均地区生产总值(2018-2019)变动分析 (4) 六、全省人均地区生产总值(2017-2019)统计分析 (5) 七、全省人均地区生产总值(2018-2019)变动分析 (5) 八、遵义市播州区人均地区生产总值同全省人均地区生产总值(2018-2019)变动对比分析 (6) 第三节遵义市播州区乡村从业人员数量指标分析 (7) 一、遵义市播州区乡村从业人员数量现状统计 (7) 二、全省乡村从业人员数量现状统计分析 (7) 三、遵义市播州区乡村从业人员数量占全省乡村从业人员数量比重统计分析 (7) 四、遵义市播州区乡村从业人员数量(2017-2019)统计分析 (8) 五、遵义市播州区乡村从业人员数量(2018-2019)变动分析 (8)

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