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Quiz 4 What is the coupon rate for a bond that has six years until maturity, sells for $1,050.15, and has a yield to maturity of 9%? The bond's coupons are paid semi-annually. Selectone: a.101% v b. 1% c.9.2% d. 5.05% e. 55% The correct answer is: 10.1% The Blueberry Pie Company just issued 8.6% coupon (paying annually), ten-year bonds. These bonds can be called at 110% of face value in five years. The bonds have a face value of $1,000 and currently sell for $925 per bond. The yield to call (YTC) on the bonds is: Selectone: a. 860% b. 740% c.12.26% ¥ d. 9.20% e. 11.00% The correct answer is: 12.26% Maria purchased a bond today for $1,135. The bond matures in six years, pays semi-annual interest, and has a 7.5% coupon rate and a face value of $1,000. If Maria holds the bond to maturity, what rate of return will she earn? Selectone: a.3.75% b. 750% c.244% d. 6.50% e. 488% v The correct answer is: 4.88% Investors who own bonds having lower credit ratings should expect: Selectone: a. Higher present value of cash flows b. Lower yields to maturity c. Higher default possibilities v d. Lower coupon payments The correct answer is: Higher default possibilities Robert purchased a five-year, zero-coupon bond ($1,000 maturity value) three years ago for $680.58. If he sells the bond today and if interest rates have decreased by 1% since purchase date, what will be his effective annual rate of return? (assume annual compounding) Selectone: a.7.2% b. 9.4% c.7.6% d.87% v e. 0% The correct answer is: 8.7%
Two years ago, Mike bought bonds that were selling at par, had 10 years unti maturity, face value of $1000 and a 7% coupon (paying semi-annually). Ifinterest rates for that grade of bond are currently 8.25%, what willbe the Mike's total rate ofreturn over the 2 year period if he sels the bonds today? Assume coupons are not reinvested. Select one: a.92% b.70% c.55% 6.68% v e.82% The correct answer is: 6.8% We have a 7% coupon bond (pays semi-annually) with a face value of $1,000 and a remaining ife of 8 years. If this bond is currently trading at $1062.81, what is the yield to maturity? ‘The correct answer is: 6% What is the yield to maturity of a bond with the following characteristics? Coupon rate is 8% with semi-annual payments; current price is $961.63, four years until maturity. Select one: a.80 percent b. 475 percent ©. 917 percent v d. 458 percent e.9.5percent ‘The correct answer is: 917 percent ‘The zero-coupon bonds of Wilcox Bay have a market price of $397.24 per bond, a face value of $1,000 and a yield to maturity of 7.36% How many years would it take for these bonds to mature? (Assume annual compounding). Select one: a.13 years v/ b.15 years c.97 years d.76 years e.11years ‘The correct answer is: 13 years A bond's face value can also be called its: Select one: a. Present value b. Default value c. Call Value d. Par value v ‘The correct answer is: Par value
What happens to the price of a three-year bond with an 8% coupon (paying semi-annually) when market interest rates change from 8% to 6% immediately? The bond's coupons are paid semi-annually. Selectone: a. No change in price as coupon stays at 8% b. A price increase of $82.62 c. A price decrease of $82.62 d. A price decrease of $54.17 e. A price increase of $54.177 v The correct answer is: A price increase of $54.17 How much should you pay for a $1,000 face value bond with 9% coupon, annual payments, and six years to maturity if the interest rate is 10%? Selectone: a. $957.95 b. $956.45 v c. $925.39 d. $955.68 e. $926.08 The correct answer is: $956.45 Quiz 3 The advertised $50 million Super Lotto prize you just won actually pays $2 million each year for 25 years. If the first payment is made immediately and the discount rate is 7%, what is the true (present value) of this prize? Select one: a. $35,433.404 b. $24,938,668 v c. $50,000,000 d. $23,307,166 e. $19,580.226 The correct answer is: $24,938,668 What is the present value of a four-period annuity of $100 per year that begins three years from today if the discount rate is 9 percent? Select one: a. $297.22 b. $27268 ¥ c. $35313 d. $331.01 The correct answer is: $272.68 You've borrowed $20,000 for a new car and agree to pay back the loan with monthly payments of $500. If the interest rate charged by the bank is 9% (APR) and payments start at the end of the first month, how long will it take you to pay back the loan? Select one: a. 3.27 years b. 315 years c.398 years ¥ d. 3.60 years e. 4.25 years The correct answer is: 3.98 years
A famous athlete went bankrupt by spending his $20 million fortune in 15 years. Given that his investments were earning him an APR of 6.0% compounded monthly, determine his monthly spending that allowed him to be penniess in 16 years (assume spending was made at the end of each month). Select one: a.5168,771 v b.$175323 c.$183,243 d.$188,828 The correct answer is: $168,771 A car dealer offers payments of $522.59 per month for 48 months on an $25,000 car after making a $4,000 down payment. What is the loan's effective annual rate? Select one: a.9.38 percent v/ b. 6 percent c.9 percent d. 617 percent The correct answer is: 9.38 percent In order to create an endowment, which pays $60,000 per year forever, how much money must be set aside today if the rate of interest is 8% and the first payment will not be made until three years from today? Select one: a. $500,000 b. $614,545 €. $695374 d.$643004 v €. $750,000 The correct answer is: $643,004. In most cases it will save money for consumers to select ther loans based on the lowest Select one: a. Effective annual rate v b. Annual percentage rate . Number of compounding periods per year d. Simple interest rate The correct answer is: Effective annual rate 8ill and Anne are buying a house and will require a mortgage of $400,000. The posted rate is 4.80% (APR compounded semi-annually) for a 5-year term, repayable in equal monthly payments. They want to pay down the mortgage quickly, so they have agreed on a 20-year amortization. What will be the principal owing when the mortgage comes up for renewal in 5 years? Select one: a.$296,942 b.$340,420 ©.$319,255 d.$310460 .$332,340 v The correct answer is: $332,340
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Related Questions
* Assignment 3 i
Assume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100.
Bond Coupon
(%)
248
a. What is the yield to maturity of each bond?
b. What is the duration of each bond?
Price (%)
80.36
96.95
135.22
Complete this question by entering your answers in the tabs below.
Required A
Bond Coupon
(%)
2
4
8
Required B
What is the yield to maturity of each bond?
Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.
YTM
%
%
%
Saved
22255
35445
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Question 3 (Bond and Equity Valuation)
Bond A is a $1,000, 6% quarterly coupon bond with 5 years to maturity.
(a) If you bought Bond A today at a yield (APR) of 8%, what is your purchase price? Is this a premium or discount bond? Why?
(b) One year later, Bond A's YTM (APR) has gone down to 6% and you sell it immediately after receiving the coupon.
(i) What is the current yield?
(ii) What is the capital gains yield?
(iii) What is the one-year total rate of return (in APR) if the coupons are reinvested at 2% per quarter during the holding period?
(iv) Can Bond A’s one-year total rate of return be determined correctly by simply adding up the current yield and the capital gains yield? Explain your answer without calculations.
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QUESTION 2 Consider a bond with a face
value of $2,000 that pays a coupon of
$150 for 10 years. Suppose the bond is
purchased at $500, and can be resold
next year for $400. What is the yield to
maturity of the bond?
A. 30%
B. 0%
C. 35.4%
D. 100.2%
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Question 1:
Two $900 par value bonds are bought to be redeemed at the end of the same period and to yield an annual
nominal rate of 5% convertible semi-annually. The price of the first bond is $1027.63 and has a coupon rate
of 6%. The second bond has a coupon rate of 3%. What is the price of the second bond?
A) 644.74
B) 859.65
C) 429.83
D) 967.11
E) 322.37
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Problem 2 (Required, 25 marks)
We consider a 5-year straight term bond issued today. The bond pays coupon quarterly and the
current annual effective yield rate is i = 7.1859%. You are also given that
The current bond price is 2167.529.
The clean price of the bond at the end of 15th month is 2130.929.
Assuming that the yield rate remains unchanged over these 5 years, find the clean price of the
bond at the end of 22nd month.
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Intro
A corporate bond has 2 years to maturity, a coupon rate of 8%,
a face value of $1,000 and pays coupons semiannually. The
market interest rate for similar bonds is 0.095.
Part 1
What is the price of the bond (in $)?
977.44
Correct ✓
Attempt 1/10 for 10 pts.
Since market interest rates (or yields or yield to maturity), are
quoted as bond equivalent yields (a type of APR), we need to
divide the quoted rate by 2:
Period rate:
0.095
= 0.0475
2
The 6-monthly interest payment, or coupon, is:
Coupon rate
0.08
Coupon =
Face value=
2
21,000
= 40
Bond price:
Coupon
Par value
Р
T +
r
(1+r)
(1+r)*
40
0.0475
1
1,000
4+
(1+0.0475)
(1+0.0475)
= 973.25
Part 2
What is the bond's duration?
2+ decima
Submit
Part 3
Attempt 2/10 for 9.5 pts.
Attempt 1/10 for 10 pts.
If yields fall by 0.8 percentage points, what is the new expected
bond price based on its duration (in $)?
0+ decima
Submit
Part 4
Attempt 1/10 for 10 pts.
What is the actual bond price after the change in yields (in $)?
0+ decima
Submit…
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Problem 3. Larga Industries has outstanding $1,000 par value bond with an 8% coupon interest rate. The bond has 12
years remaining to its maturity date.
a.
If the interest is paid annually, find the value of the bond when the required return is (1) 7%, (2) 8%, (3) 10%.
Indicate for each case in part whether the bond is selling at a discount, at a premium, or at its par value.
c. Using the 10% required return, find the bond's value when interest is paid semi-annually.
b.
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Suppose a five- year, $ 1 comma 000$1,000 bond with annual coupons has a price of $ 904.31$ 904.31 and a yield to maturity of 6.1 %6.1% . What is the bond's coupon rate? Question content area bottom Part 1 The bond's coupon rate is enter your response here % . (Round to three decimal places.)
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Question 12:
In the following, you are given 5 bonds. Suppose coupons of all bonds are paid semiannually, the bond
principal 100 is paid at the bond maturity
b) Calculate the duration for each bond
Years to Maturity
0.5
1
1.5
2
2.5
Bond price
98
99
99
98
97
Coupon per year
Spot rate
Duration
?
5.
4)
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QUESTION 1
"A coupon bond that pays interest annually has a par value of $1000, matures in 6 years, and has a yield to maturity of 6%. If the coupon rate is 15%, the value of the bond today will be __________. Note: Express your answers in strictly numerical terms. For example, if the answer is $500, write enter 500 as an answer."
QUESTION 2
"A coupon bond that pays interest quarterly has a par value of $1000, matures in 4 years, and has a yield to maturity of 15%. If the coupon rate is 8%, the value of the bond today will be __________. Note: Express your answers in strictly numerical terms. For example, if the answer is $500, write enter 500 as an answer."
QUESTION 3
"What is the coupon payment of a 4-year $1000 bond, 9% YTM, and with a 2% coupon rate and semiannually payments? Note: Express your answers in strictly numerical terms. For example, if the answer is $500, write enter 500 as an answer."
QUESTION 4
"Consider a zero-coupon bond with $100 face value and 5…
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a.
b.
C.
Problem 9.4: R & J, Inc. issues a 10-year $1,000 bond that pays $28.50 semi-annually.
The market price for the bond is $975. The market's required yield to maturity on a
comparable-risk bond is 6 percent.
a. What is the value of the bond to you?.
b. What happens to the value if the market's yield to maturity on a comparable-risk bond
(i) increases to 8 percent or (ii) decreases to 4 percent?
c. Under which of the circumstances in parts a & b should you purchase the bond?
Years
Par (FV)
PMT
Nper
m
Comparable risk (Rate)
Bond value (PV)
Comparable risk (Rate)
Bond value (PV)
Comparable risk (Rate)
Bond value (PV)
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Problem 4 - Regal Health Plans issued a ten-year, 12 percent annual coupon bond. The bond now sells for $1,100. The bond has a call provision that allows Regal to call the bond in four years at a call price of $1,060. b. What is the bond's yield to call?
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QUESTION 3
The market price of a bond is $1,119.90; it has 4 years to maturity, a $1,000 par value, and pays a coupon of $100 every year.
What is the yield to maturity? (assume the coupons are paid annually).
A. 3.27%
B. 6.50%
C. 6.54%
D. 10.00%
E. None of the above
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- * Assignment 3 i Assume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (%) 248 a. What is the yield to maturity of each bond? b. What is the duration of each bond? Price (%) 80.36 96.95 135.22 Complete this question by entering your answers in the tabs below. Required A Bond Coupon (%) 2 4 8 Required B What is the yield to maturity of each bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. YTM % % % Saved 22255 35445arrow_forwardQuestion 3 (Bond and Equity Valuation) Bond A is a $1,000, 6% quarterly coupon bond with 5 years to maturity. (a) If you bought Bond A today at a yield (APR) of 8%, what is your purchase price? Is this a premium or discount bond? Why? (b) One year later, Bond A's YTM (APR) has gone down to 6% and you sell it immediately after receiving the coupon. (i) What is the current yield? (ii) What is the capital gains yield? (iii) What is the one-year total rate of return (in APR) if the coupons are reinvested at 2% per quarter during the holding period? (iv) Can Bond A’s one-year total rate of return be determined correctly by simply adding up the current yield and the capital gains yield? Explain your answer without calculations.arrow_forwardQUESTION 2 Consider a bond with a face value of $2,000 that pays a coupon of $150 for 10 years. Suppose the bond is purchased at $500, and can be resold next year for $400. What is the yield to maturity of the bond? A. 30% B. 0% C. 35.4% D. 100.2%arrow_forward
- Question 1: Two $900 par value bonds are bought to be redeemed at the end of the same period and to yield an annual nominal rate of 5% convertible semi-annually. The price of the first bond is $1027.63 and has a coupon rate of 6%. The second bond has a coupon rate of 3%. What is the price of the second bond? A) 644.74 B) 859.65 C) 429.83 D) 967.11 E) 322.37arrow_forwardProblem 2 (Required, 25 marks) We consider a 5-year straight term bond issued today. The bond pays coupon quarterly and the current annual effective yield rate is i = 7.1859%. You are also given that The current bond price is 2167.529. The clean price of the bond at the end of 15th month is 2130.929. Assuming that the yield rate remains unchanged over these 5 years, find the clean price of the bond at the end of 22nd month.arrow_forwardIntro A corporate bond has 2 years to maturity, a coupon rate of 8%, a face value of $1,000 and pays coupons semiannually. The market interest rate for similar bonds is 0.095. Part 1 What is the price of the bond (in $)? 977.44 Correct ✓ Attempt 1/10 for 10 pts. Since market interest rates (or yields or yield to maturity), are quoted as bond equivalent yields (a type of APR), we need to divide the quoted rate by 2: Period rate: 0.095 = 0.0475 2 The 6-monthly interest payment, or coupon, is: Coupon rate 0.08 Coupon = Face value= 2 21,000 = 40 Bond price: Coupon Par value Р T + r (1+r) (1+r)* 40 0.0475 1 1,000 4+ (1+0.0475) (1+0.0475) = 973.25 Part 2 What is the bond's duration? 2+ decima Submit Part 3 Attempt 2/10 for 9.5 pts. Attempt 1/10 for 10 pts. If yields fall by 0.8 percentage points, what is the new expected bond price based on its duration (in $)? 0+ decima Submit Part 4 Attempt 1/10 for 10 pts. What is the actual bond price after the change in yields (in $)? 0+ decima Submit…arrow_forward
- Problem 3. Larga Industries has outstanding $1,000 par value bond with an 8% coupon interest rate. The bond has 12 years remaining to its maturity date. a. If the interest is paid annually, find the value of the bond when the required return is (1) 7%, (2) 8%, (3) 10%. Indicate for each case in part whether the bond is selling at a discount, at a premium, or at its par value. c. Using the 10% required return, find the bond's value when interest is paid semi-annually. b.arrow_forwardSuppose a five- year, $ 1 comma 000$1,000 bond with annual coupons has a price of $ 904.31$ 904.31 and a yield to maturity of 6.1 %6.1% . What is the bond's coupon rate? Question content area bottom Part 1 The bond's coupon rate is enter your response here % . (Round to three decimal places.)arrow_forwardQuestion 12: In the following, you are given 5 bonds. Suppose coupons of all bonds are paid semiannually, the bond principal 100 is paid at the bond maturity b) Calculate the duration for each bond Years to Maturity 0.5 1 1.5 2 2.5 Bond price 98 99 99 98 97 Coupon per year Spot rate Duration ? 5. 4)arrow_forward
- QUESTION 1 "A coupon bond that pays interest annually has a par value of $1000, matures in 6 years, and has a yield to maturity of 6%. If the coupon rate is 15%, the value of the bond today will be __________. Note: Express your answers in strictly numerical terms. For example, if the answer is $500, write enter 500 as an answer." QUESTION 2 "A coupon bond that pays interest quarterly has a par value of $1000, matures in 4 years, and has a yield to maturity of 15%. If the coupon rate is 8%, the value of the bond today will be __________. Note: Express your answers in strictly numerical terms. For example, if the answer is $500, write enter 500 as an answer." QUESTION 3 "What is the coupon payment of a 4-year $1000 bond, 9% YTM, and with a 2% coupon rate and semiannually payments? Note: Express your answers in strictly numerical terms. For example, if the answer is $500, write enter 500 as an answer." QUESTION 4 "Consider a zero-coupon bond with $100 face value and 5…arrow_forwarda. b. C. Problem 9.4: R & J, Inc. issues a 10-year $1,000 bond that pays $28.50 semi-annually. The market price for the bond is $975. The market's required yield to maturity on a comparable-risk bond is 6 percent. a. What is the value of the bond to you?. b. What happens to the value if the market's yield to maturity on a comparable-risk bond (i) increases to 8 percent or (ii) decreases to 4 percent? c. Under which of the circumstances in parts a & b should you purchase the bond? Years Par (FV) PMT Nper m Comparable risk (Rate) Bond value (PV) Comparable risk (Rate) Bond value (PV) Comparable risk (Rate) Bond value (PV)arrow_forwardProblem 4 - Regal Health Plans issued a ten-year, 12 percent annual coupon bond. The bond now sells for $1,100. The bond has a call provision that allows Regal to call the bond in four years at a call price of $1,060. b. What is the bond's yield to call?arrow_forward
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