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Reading 61: Features of Debt Securities-LOS b 习题精选

Session 15: Fixed Income: Basic Concepts
Reading 61: Features of Debt Securities

LOS b: Describe the basic features of a bond, the various coupon rate structures, and the structure of floating-rate securities.

 

 

Which one of the following alternatives represents the correct series of payments made by a typical 6% U.S. Treasury note with a par value of $100,000 issued today with five years to maturity?

Number and size of each intermediate payment Payment made at maturity

A)
9 semiannual payments of $3,000 $103,000
B)
4 annual payments of $6,000 $106,000
C)
9 semiannual payments of $3,000 $100,000


 

Payments for U.S. Treasury bonds and notes are semiannual and are fixed for the life of each bond or note. The coupon rate is quoted on an annual basis but each payment is made on the basis of one half the annual rate multiplied by the maturity or par value.

A bond has a par value of $5,000 and a coupon rate of 8.5% payable semi-annually. The bond is currently trading at 112.16. What is the dollar amount of the semi-annual coupon payment?

A)
$238.33.
B)
$425.00.
C)
$212.50.


The dollar amount of the coupon payment is computed as follows:

Coupon in $ = $5,000 × 0.085 / 2 = $212.50

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Which one of the following combinations represents an accurate classification of security owner options and security issuer options?

Security Owner Options Security Issuer Options

A)
A call provision A prepayment option
B)
A cap An accelerated sinking fund
C)
A floor A prepayment option


A floor sets a minimum coupon rate for a floating-rate bond and protects the security owner from decreases in rates. A prepayment option is included in many amortizing securities and allows the holder of the option to make additional payments against outstanding principal.

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A bond issued by the government of Italy is likely to be denominated in which one of the following currencies?

A)
Euros.
B)
U.S. dollars.
C)
Swiss francs.


Bonds issued by governments are likely to be denominated in the currency of the country where the bond is issued. In this case, the Euro is the Italian currency and bonds issued by the Italian government would normally be issued in Euros.

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Interest rates have fallen over the seven years since a $1,000 par, 10-year bond was issued with a coupon of 7%. What is the present value of this bond if the required rate of return is currently four and one-half percent? (For simplicity, assume annual payments.)

A)
$1,052.17.
B)
$1,044.33.
C)
$1,068.72


Each of the remaining cash flows on the bond is discounted at the annual rate of 4.5%.

Period

Payment

Discount

PV

 1

$1,000 × 7% = $70

(1.045)1

$ 66.99

 2

$1,000 × 7% = $70

(1.045)2

$ 64.10

 3

$1,000 × 7% = $70

(1.045)3

$ 61.34

 3

$1,000 principal

(1.045)3

$ 876.30

Total Present Value of Cash Flows

$1,068.73

The present value can also be determined with a financial calculator. N = 3, I = 4.5%, PMT = $1,000 × 7%, FV = $1,000. Solve for PV = $1,068.724.

TOP

Which of the following statements concerning coupon rate structures is least accurate?

A)
Accrual bonds have only one cash inflow at maturity.
B)
Zero-coupon bonds have only one cash inflow at maturity.
C)
Accrual bonds, like zero-coupon bonds, always sell at a discount to face value.


Accrual bonds, unlike zero-coupon bonds, do not always sell at a discount to face value. The interest accrues forward and thus the bonds are likely to sell for more than face value.

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Which of the following statements about zero-coupon bonds is NOT correct?

A)
The lower the price, the greater the return for a given maturity.
B)
All interest is earned at maturity.
C)
A zero coupon bond may sell at a premium to par when interest rates decline.


Zero coupon bonds always sell below their par value, or at a discount prior to maturity. The amount of the discount may change as interest rates change, but a zero coupon bond will always be priced less than par.

TOP

A coupon bond:

A)
does not pay interest on a regular basis, but pays a lump sum at maturity.
B)
always sells at par.
C)
pays interest on a regular basis (typically semi-annually).


This choice accurately describes a coupon bond.

With an accrual bond, payments are deferred to maturity and then disbursed along with the par value at maturity. Unlike a normal zero-coupon bond, these issues are sold at (or near) their par values and then the interest accrues at a compound rate on top of that. So, they start at $1,000 and then appreciate from there.

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Which of the following statements regarding zero-coupon bonds is CORRECT?

A)
Zero-coupon bonds have substantial amount of coupon reinvestment risk.
B)
An investor who holds a zero-coupon bond until maturity will receive a return equal to the bond's effective annual yield.
C)
An investor who holds a zero-coupon bond until maturity will receive an annuity of coupon payments plus recovery of principal at maturity.


Zero-coupon bonds are quite special. Because zero-coupon bonds have no coupons (all of the bond’s return comes from price appreciation), investors have no uncertainty about the rate at which coupons will be invested. An investor who holds a zero-coupon bond until maturity will receive a return equal to the bond’s effective annual yield.

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Which of the following statements regarding zero-coupon bonds and spot interest rates is CORRECT?

A)
If the yield to maturity on a 2-year zero coupon bond is 6%, then the 2-year spot rate is 3%.
B)
Spot interest rates will never vary across the term structure.
C)
Price appreciation creates all of the zero-coupon bond's return.


Zero-coupon bonds are quite special. Because zero-coupon bonds have no coupons (all of the bond’s return comes from price appreciation), investors have no uncertainty about the rate at which coupons will be invested. Spot rates are defined as interest rates used to discount a single cash flow to be received in the future. If the yield to maturity on a 2-year zero is 6%, we can say that the 2-year spot rate is 6%.

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