Financial Modelling 2557A/B Chapter Notes - Chapter 7: Discounting, Spot Contract, Effective Interest Rate

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sapphiretortoise72

17 Apr 2017

School

Western University

Department

Financial Modelling

Course

Financial Modelling 2557A/B

Professor

Xiaoming Liu

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Document Summary

Generally have lower yields and greater trading volume than off-the-run bonds. Strips: separate trading of registered interest and principal of securities. Claim to single interest payment of the principal portion of a government bond. 0 coupon bonds - make single payment at maturity. Zero coupon bond: bond that makes only a single payment at is maturity date. Yield to maturity: internal rate of return: on a zero coupon bond, this is simply the percentage increase in dollars earned from the bond. A zero coupon bond price is a discount factor. What you would pay to receive 1$ in the future. Yield curve: a graph of annualized zero-coupon yields to maturity against time to maturity. Shows how yields to maturity vary with time to maturity. Common to be presented based on coupon bonds, not zero-coupon bonds. Implied forward rate: difference between spot rate and future rate (1+i1)(1+i2)(1+i3) (1+in)=(1+i)^n.

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Money, Banking, and Financial Markets, 3/e- quiz, Stephen G.Cecchetti, Kermit L. Schoenholtz
Question Details
Pls solve the quiz and EXPLAIN YOUR ANSWERS, I NEED TO LEARN THECALCULATIONS. Thank you.

Multiple Choice Quiz
1
If the annual interest rate is 5% (.05), the price of a one yearTreasury bill would be:
(Hint: T-Bills have $100 face value)
A) $95.00
B) $97.50
C) $95.24
D) $96.10
2
If the annual interest rate is 5%, the price of a three-monthTreasury bill would be:
(Hint: T-Bills have $100 face value)
A) $98.79
B) $95.00
C) $98.75
D) $97.59
3
If a consol is offering an annual coupon of $50 and the annualinterest rate is 6%, the price of the consol is:
A) $47.17
B) $813.00
C) $833.33
D) None of the above
4
A $1000 face value bond purchased for $965.00, with an annualcoupon of $60, and 20 years to maturity has:
A) A current yield equal to 6.22%.
B) A current yield equal to 6.00%.
C) A coupon rate equal to 6.22%.
D) A yield to maturity and current yield equal to 6.00%.
E) A yield to maturity and coupon rate equal to 6.00%.
5
A $1000 face value bond, with an annual coupon of $40, one year tomaturity and a purchase price of $980:
A) Has a current yield that equals 4.00%.
B) Has a coupon rate that equals 4.80%.
C) Has a current yield that equals 4.08% and a yield to maturitythat equals 6.12%.
D) Has a current yield that equals 4.08% and a yield to maturitythat equals 4.0%.
6
If a one year bond has a face value of $100 and is purchased for$94, and is held to maturity:
A) The holding period return will equal the yield tomaturity.
B) The yield to maturity will exceed the holding periodreturn.
C) The yield to maturity will be 6.38%.
D) a and c.
7
A 30-year Treasury bond as a face value of $1,000, price of $1,200with a $50 coupon payment. Assume the price of this bond decreasesto $1,100 over the next year. The one-year holding period return isequal to:
A) -9.17%
B) -8.33%
C) -4.17%
D) -3.79%

8
If a one-year zero-coupon bond has a face value of $100, ispurchased for $94, and is held to maturity:
A) The holding period return will exceed the yield tomaturity.
B) The yield to maturity will exceed the holding periodreturn.
C) The yield to maturity will be 6.38%.
D) The holding period return will be 6.38%.

9
Consider a zero-coupon bond with a $1,100 payment in one year.Suppose the interest rate decreases from 10% to 8%. The price ofthis bond:
A) Increases from $1,000 to $1,018.
B) Increases from $1,000 to $1,375.
C) Decreases from $110 to $88.
D) Decreases from $1,210 to $1,188.
10
Consider a $1,000 face value bond with a $55 coupon payment and 1year to maturity. Calculate the current yield, coupon rate and theyield to maturity if the bond is purchased for $940.
A) Current yield = 5.50%, coupon rate = 5.50%, yield to maturity =12.23%.
B) Current yield = 5.85%, coupon rate = 5.50%, yield to maturity =12.23%.
C) Current yield = 5.85%, coupon rate = 5.00%, yield to maturity =6.38%.
D) Current yield = 5.50%, coupon rate = 5.00%, yield to maturity =6.38%.

11
Consider a $1,000 face value bond with a $55 coupon payment and 1year to maturity. Calculate the current yield, coupon rate and theyield to maturity if the bond is purchased for $1,130.
A) Current yield = 5.50%, coupon rate = 4.87%, yield to maturity =5.00%.
B) Current yield = 5.50%, coupon rate = 5.50%, yield to maturity =-6.64%.
C) Current yield = 4.87%, coupon rate = 5.50%, yield to maturity =-6.64%.
D) Current yield = 4.87%, coupon rate = 5.00%, yield to maturity =-5.00%.

12
If the U.S. government's borrowing needs increase, all otherfactors constant:
A) The demand for bonds will decrease.
B) The price of bonds will increase.
C) The supply of bonds will increase.
D) The yields on bonds will decrease.
13
Consider a two-year, 4.5% coupon bond with a $500 face value thatis originally purchased for $475. Calculate the holding periodreturn of this bond if it is sold after one year at a price of$485.
A) 6.84%
B) 6.50%
C) 11.58%
D) 3.05%
14
Consider a two-year, 8% coupon bond with a $1,500 face value thatis originally purchased for $1,490. Calculate the holding periodreturn of this bond if it is sold after one year at a price of$1,505.
A) 8.67%
B) 9.06%
C) 1.54%
D) 6.38%
15
If the risk on foreign government bonds increases relative to U.S.government bonds, the price of U.S. government bonds should:
A) Not change since U.S. government bonds are free of defaultrisk.
B) Decrease since people will bail out of all governmentbonds.
C) Increase as the demand for these bonds increases.
D) Not be affected because the two types of bonds are traded indifferent markets.

Hi There

Can you please help with the below question. Thank you in advance.

Ms. Alumm is the portfolio manager for a large insurance company. She is considering investing $1 million to purchase the bonds of Patriot Enterprises, Inc.
[A] All of Patriot's bonds have market prices that imply a yield to maturity of 8% "bond equivalent yield" (that is, 4% every 6-month period).1 Each Patriot bond is described here, based on a
$1,000 face value (par value), which is the promised payment at maturity.

. Bond A has five years until maturity and pays a 9% coupon yield ($45 every 6 months on a $1,000 face value bond).
. Bond B has ten years until maturity, pays an 8% coupon yield ($40 semiannual payments), and is being offered in a private placement at par.
. Bond C is a zero-coupon bond that pays no explicit interest, but will pay the face amount of $1,000 per bond at maturity in ten years.
1. At what price should each bond sell currently?

[B] Ms. Alumm realizes that in addition to determining the current prices of these bonds, she would also like to know how these prices might respond to changing interest rates once her company has purchased them.
2. After purchasing the bonds at an 8% bond-equivalent yield, what would happen to the price of each bond, and how much money would the company make if market yields on Patriot bonds fall to 6%?. . . rise to 10%?

[C] As an alternative, Ms. Alumm has been invited to invest $1 million in a private placement of a 10-year Eurobond2 of a second firm, Nationaliste, S.A. Nationaliste bonds are similar in risk to "Bond B" above: they promise an 8% coupon yield for 10 years, but coupons are paid annually, not semiannually. The Nationaliste bonds are priced at a 1% discount from par, or $990 per $1,000 face value.
3. What yield to maturity is implied by the Nationaliste Eurobond? Compare this yield to the 8% "bondequivalent yield" of the Patriot semiannual coupon bond (Bond B) above. What should Ms. Alumm do?

beigehound466

QUESTION 1 The largest investors in corporate bonds are life insurance companies and pension funds. True False 5 points QUESTION 2 Most secondary market transactions for corporate bonds take place through dealers in the over-the-counter (OTC) market. True False 5 points QUESTION 3 The value (or price) of a bond is the present value of its expected future cash flows. True False 5 points QUESTION 4 Bond prices decline when the interest rate decreases. True False 5 points QUESTION 5 The face or par value for bonds is the amount paid to bondholders at maturity and is usually equal to $1,000. True False 5 points QUESTION 6 The yield to maturity of a bond is the discount rate that makes the present value of the coupon and principal payments equal to the price of the bond. True False 5 points QUESTION 7 Zero coupon bonds have no coupon payments so they sell for more than their par value. True False 5 points QUESTION 8 Interest rate risk is the risk that bond prices will fluctuate when the interest rate changes. True False 5 points QUESTION 9 US Treasury securities are considered risky investments because the coupon payments are unpredictable. True False 5 points QUESTION 10 Bonds are very difficult to value because their future cash flows are very difficult to predict. True False 5 points QUESTION 11 If the bond's coupon rate is equal to the market rate then the bond will sell at a price equal to its face value greater than its face value less than its face value equal to its foreign currency value, e.g., its price in British pounds 5 points QUESTION 12 When calculating the price of a bond that pays a semiannual coupon one needs to use double the number of years until maturity for the number of payments use half the annual coupon payment use half the annual rate of return as the discount rate all of the above 5 points QUESTION 13 The yield to maturity of a bond is the discount rate that makes the present value of the coupon and principal payments more than the price of the bond equal to zero equal to the price of the bond less than the price of the bond 5 points QUESTION 14 Which one of the following statements is true? All else equal long-term bonds have lower price volatility than short-term bonds. There is an inverse relation between bond prices and market interest rates. All else equal short-term bonds are more risky than long-term bonds. All else equal US government bonds are more risky than corporate bonds. 5 points QUESTION 15 An investor owns a 10-year US government bond with a 9 percent coupon rate. If the yield-to-maturity on the bond is 8 percent then this bond is selling for its par value. a discount. a premium. its face value. 5 points QUESTION 16 BA Corp is issuing a 10-year bond with a coupon rate of 8 percent and a par value of $1,000. The market interest rate on similar bonds is currently 6 percent. If the coupon payments are made annually, what is the value of this bond? 5 points QUESTION 17 Knight, Inc. has issued a 3-year bond with a $1,000 par value and an annual coupon rate of 6 percent. The current market rate of interest is 5 percent. What is the value of this bond if the coupon payments are made semiannually? 5 points QUESTION 18 Diane Carter is interested in buying a 5-year zero coupon bond with a face value of $5,000. If the market interest rate on these types of bonds is currently 9 percent, what is the current price of this bond? 5 points QUESTION 19 Rudy Sandberg wants to invest in 4-year bonds that are currently priced at $933.76. The bonds have a coupon rate of 6 percent and annual coupon payments. If the par value of the bonds is $1,000, what is the bond's yield-to-maturity? 5 points QUESTION 20 You own a 5-year bond with a face value of $1,000 and a coupon rate of 5 percent with annual payments. The bond is currently worth $810.46. If market interest rates remain unchanged, what will be the value of the bond next year when there are 4 years left until maturity?

Financial Modelling 2557A/B Chapter Notes - Chapter 7: Discounting, Spot Contract, Effective Interest Rate

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