Homework 4_Bank Management
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Finance
Date
Jan 9, 2024
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1
4th Set of Homework
(Due Date: November 8, 2023)
Ch15
9.
Bank Alpha has an inventory of AAA-rated, 15-year zero-coupon bonds with a face value
of $400 million. The bonds currently are yielding 9.5 percent in the over-the-counter
market.
a.
What is the modified duration of these bonds?
15/(1.095) = -13.6986.
b.
What is the price volatility if the potential adverse move in yields is 25 basis points?
= (-13.6986) x (.0025) = -0.03425 or -3.425 percent.
c.
What is the DEAR?
= 400/(1 + 0.095)
15
= $102.5293million.
DEAR = $102.5293499 million x -0.03425 =
-$3.5116 million
d.
If the price volatility is based on a 90 percent confidence limit and a mean historical
change in daily yields of 0.0 percent, what is the implied standard deviation of daily
yield changes?
s
= .0025/1.65 = .001515 or 15.15 basis points.
11.
Bank Two has a portfolio of bonds with a market value of $200 million. The bonds have an
estimated price volatility of 0.95 percent. What are the DEAR and the 10-day VAR for
these bonds?
$200 million x .0095 =
$1.9million
=
$1,900,000 x
Ö
10
=
$1,900,000 x 3.1623 =
$6,008,327.55
2
12.
Bank of Southern Vermont has determined that its inventory of 20 million euros (€) and 25
million British pounds (£) is subject to market risk. The spot exchange rates are $0.40/€
and $1.28/£, respectively. The
s
’s of the spot exchange rates of the € and £, based on the
daily changes of spot rates over the past six months, are 65 bp and 45 bp, respectively.
Determine the bank’s 10-day VAR for both currencies. Use adverse rate changes in the 90
th
percentile.
FX position of €
= 20m x 0.40 = $8 million
FX position of £
= 25m x 1.28 = $32 million
FX volatility €
= 1.65 x 65bp = 107.25, or 1.0725%
FX volatility £
= 1.65 x 45bp = 74.25, or 0.7425%
DEAR
=
($ Value of position) x (Price volatility)
DEAR of €
=
$8m x .010725 = $0.0860m, or $85,800
DEAR of £
=
$32m x .007425 = $0.2376m, or $237,600
VAR of €
= $138,000 x
Ö
10 = $85,800 x 3.1623 = $271,323.42
VAR of £
= $237,600 x
Ö
10 = $237,600 x 3.1623 = $751,357.17
14.
Bank of Alaska’s stock portfolio has a market value of $10 million. The beta of the
portfolio approximates the market portfolio, whose standard deviation (
s
m
) has been
estimated at 1.5 percent. What is the five-day VAR of this portfolio using adverse rate
changes in the 99
th
percentile?
DEAR= $10m x (2.33 x .015)
= $10m x .03495 = $0.3495m or $349,500
VAR = $349,500 x
Ö
5 = $349,500 x 2.2361 = $781,505.76
15.
Jeff Resnick, vice president of operations at Choice Bank, is estimating the aggregate
DEAR of the bank’s portfolio of assets consisting of loans (L), foreign currencies (FX),
and common stock (EQ). The individual DEARs are $300,700, $274,000, and $126,700
respectively. If the correlation coefficients (
r
ij
) between L and FX, L and EQ, and FX and
EQ are 0.3, 0.7, and 0.0, respectively, what is the DEAR of the aggregate portfolio?
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Related Questions
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5. Chapter MC, Section 87, Problem 087 Algo
Moerdyk Corporation's bonds have a 15-year maturity, a 10.15% semiannual coupon, and a par value of $1,000. The going interest rate (ra) is 7.90%, based
on semiannual compounding. What is the band's price?
a. $1,193.77
b. $1,195.72
c. $1,262.83
d. $1,230.60
e. $1,125.52
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Y8
Here are data on $1,000 par value bonds issued by Caterpillar and Intel. Assume you are thinking about buying these bonds.
CaterpillarIntelCoupon5%4%Years to Maturity810Required Return4%5%
Answer the following questions:
a) Assuming interest is paid annually, calculate the values of each of the bonds
b) How would these values change if the coupon was paid semiannually (
c) Assume that the bonds with the coupon that is paid annually (point a) are selling for the following amounts:
· Caterpillar $1,050
· Intel $980
What are the expected rates of return (YTM) for each bond?
d) How would change the price of each bond if the required rate of return (current 4% for Caterpillar and 5% for the Intel and with annual coupon) increased by 2%
What will you deduce about the relationship between market interest rate and bond prices? .
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(Related to Checkpoint 9.4) (Bond valuation) A bond that matures in
8
years has a
$1,000
par value. The annual coupon interest rate is
13
percent and the market's required yield to maturity on a comparable-risk bond is
16
percent. What would be the value of this bond if it paid interest annually? What would be the value of this bond if it paid interest semiannually?
Question content area bottom
Part 1
a. The value of this bond if it paid interest annually would be
$enter your response here.
(Round to the nearest cent.)
Part 2
b. The value of this bond if it paid interest semiannually would be
$enter your response here.
(Round to the nearest cent.)
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a. 10%
b. 9%
c. 11%
d. 8%
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6. [HW] $100,000 bond redeemable at par on
October 1, 2038, is purchased on January 15,
2017. Interest is 5.9% payable semi-annually
and the yield is 9% compounded semi-
annually. a) What is the cash price of the
bond? b) What is the accrued interest? c)
What is the purchase price?
SDT :
CPN =
RDT =
RV =
АСT 2/Y
YLD =
PRI =
Al =
a) $70,634.65 b) $1718.13 c) 72,352.78
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(Related to Checkpoint 9.3) (Bond valuation) Doisneau
22-year
bonds have an annual coupon interest of
8
percent, make interest payments on a semiannual basis, and have a
$1,000
par value. If the bonds are trading with a market's required yield to maturity of
16
percent, are these premium or discount bonds? Explain your answer. What is the price of the bonds?
Question content area bottom
Part 1
a. If the bonds are trading with a yield to maturity of
16%,
then (Select the best choice below.)
A.
the bonds should be selling at a
premium
because the bond's coupon rate is
greater
than the yield to maturity of similar bonds.
B.
there is not enough information to judge the value of the bonds.
C.
the bonds should be selling at par because the bond's coupon rate is equal to the yield to maturity of similar bonds.
D.
the bonds should be selling at a
discount
because the bond's coupon rate is
less
than the yield to maturity of similar…
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Answer ASAP accurately
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2:37
a. Compute the bond's yield to maturity.
b. Determine the value of the bond to you, given your required rate of return.
c. Should you purchase the bond?
(Related to Checkpoint 9.2 and Checkpoint 9.3) (Bond valuation) Fingen's 14-year, $1,000 par value bonds pay 9
percent interest annually. The market price of the bonds is $850 and the market's required yield to maturity on a
comparable-risk bond is 13 percent.
a. What is your yield to maturity on the Fingen bonds given the market price of the bonds?
% (Round to two decimal
places.)
|||
Vo) 1
LTE2
=
O
4Gl 41%
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7. Riverside Metals recently issued some debt that had an original maturity of nine months. This
debt is best elassified as a(n):
A. option contract.
B. money market instrument.
C. fixed-income security.
D. derivative security.
E. futures contract.
Use the following bond quotes to answer this question:
Issuer Name
Alpha Industrial
Beta Movers
Coupon
5.875
Change
+.008
May 2036 103.407 100.013 103.354 +.010
Maturity
High
Low
Last
99.402
Apr 2010 99 823
98.667
7.120
8. What is the current price of a S1,000 face value Beta Movers' bond?
A. S1,000,10
B. S1,000.13
C. SI,033.54
D. $1,033.64
E. S1,034.17
9. Which one of the following represents a residual ownership interest in the issuer?
A. U.S. Treasury bond
B. corporate bond
C. municipal bond
D. preferred stock
E. common stock
Use these option quotes to answer this question:
Chg Bid Ask Vol Open Int
Strike Symbol Last
47.50 JLHW.X 6.00 to.25
5.90 6.10 18
12
50.00 JLHJ.X
4.75 t0.30 4.80 5.00 17
14
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41)What am I doing wrong?
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You are analyzing the cost of debt for a firm. You know that the firm's 14-year maturity, 8.6 percent coupon bonds are selling at a price
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Problem 13.17 a1-a2(a1)
Your answer is incorrect.
What is the current YTM of the bonds? (Round intermediate calculations to 4 decimal places, e.g. 1.2514 and final answer to O decimal
places, e.g. 15%.)
Current YTM for the bonds
%
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(Related to Checkpoint 9.3) (Bond valuation) Doisneau
18-year
bonds have an annual coupon interest of
14
percent, make interest payments on a semiannual basis, and have a
$1,000
par value. If the bonds are trading with a market's required yield to maturity of
16
percent, are these premium or discount bonds? Explain your answer. What is the price of the bonds?
Question content area bottom
Part 1
a. If the bonds are trading with a yield to maturity of
16%,
then (Select the best choice below.)
A.
the bonds should be selling at a
discount
because the bond's coupon rate is
less
than the yield to maturity of similar bonds.
B.
there is not enough information to judge the value of the bonds.
C.
the bonds should be selling at a
premium
because the bond's coupon rate is
greater
than the yield to maturity of similar bonds.
D.
the bonds should be selling at par because the bond's coupon rate is equal to the yield to maturity of similar…
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2:36
Vol) 1
LTE2
(Related to Checkpoint 9.3) (Bond valuation) Doisneau 18-year bonds have an annual coupon interest of 13 percent,
make interest payments on a semiannual basis, and have a $1,000 par value. If the bonds are trading with a market's
required yield to maturity of 16 percent, are these premium or discount bonds? Explain your answer. What is the price
of the bonds?
a. If the bonds are trading with a yield to maturity of 16%, then (Select the best choice below.)
4Gl
|||
O A. the bonds should be selling at a discount because the bond's coupon rate is less than the yield to maturity of
similar bonds.
=
41%
O B. the bonds should be selling at a premium because the bond's coupon rate is greater than the yield to
maturity of similar bonds.
O C. there is not enough information to judge the value of the bonds.
O D. the bonds should be selling at par because the bond's coupon rate is equal to the yield to maturity of similar
bonds.
O
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L7
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6. [HW] $100,000 bond redeemable at par on October 1, 2038, is purchased on January 15, 2017. Interest is 5.9% payable semi-annually and the yield is 9% compounded semi-annually. a) What is the cash price of the bond? b) What is the accrued interest? c) What is the purchase price?
SDT =
CPN =
RDT =
RV =
ACT 2/Y
YLD =
PRI =
AI =
a) $70,634.65 b) $1718.13 c) 72,352.78
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2:37
(Related to Checkpoint 9.2) (Yield to maturity) Abner Corporation's bonds mature in 24 years and pay 12 percent
interest annually. If you purchase the bonds for $850, what is your yield to maturity?
Your yield to maturity on the Abner bonds is %. (Round to two decimal places.)
|||
Vo) 1
[ 22 ... 46 ...
LTE2
=
O
41%
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sn1
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11
(Related to Checkpoint 9.3) (Bond valuation) Doisneau 22-year bonds have an annual coupon
01
interest of 13 percent, make interest payments on a semiannual basis, and have a $1,000 par value. If
11
the bonds are trading with a market's required yield to maturity of 17 percent, are these premium or
discount bonds? Explain your answer. What is the price of the bonds?
01
a. If the bonds are trading with a yield to maturity of 17%, then (Select the best choice below.)
11
O A. there is not enough information to judge the value of the bonds.
O B. the bonds should be selling at par because the bond's coupon rate is equal to the yield to
maturity of similar bonds.
11
O! O C. the bonds should be selling at a discount because the bond's coupon rate is less than the yield
11
to maturity of similar bonds.
O D. the bonds should be selling at a premium because the bond's coupon rate is greater than the
yield to maturity of similar bonds.
11
b. The price of the bonds is $. (Round to the nearest…
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Q9
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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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Donds, what is the default risk premium on the corporate bond?
Select the correct answer.
O a. 2.64%
O b. 2.16%
Oc2.88%
d. 2.40%
e. 3.12%
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H5.
f. (1) What is the yield to maturity on a 10-year, 9% annual coupon, $1,000 par value bond that sells for $887.00? That sells for $1,134.20? What does the fact that a bond sells at a discount or at a premium tell you about the relationship between rd
and the bond’s coupon rate? solve in Excel
Show proper step by step calculation and explain with details
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