FIN 660 Computational HW 2
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University of Maryland Global Campus (UMGC) *
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Course
660
Subject
Finance
Date
Apr 3, 2024
Type
xlsx
Pages
19
Uploaded by MajorMoleMaster406
1
A bond that pays interest annually yields a rate of return of 6.75 p
rate of return
6.75%
inflation rate
2.00%
real rate of return
4.66%
2
The inflation rate over the past year was 2.2 percent. If an investm
inflation rate
2.20%
real rate of return
7.40%
nominal return
9.76%
3
An investment had a nominal return of 10.3 percent last year. If th
nominal return
10.30%
real rate of return
5.70%
inflation rate
4.35%
4
Lincoln Park Company has a bond outstanding with a coupon rate coupon rate
6.27%
semi-annual
2.00
yield to maturity
5.70%
maturity (yrs)
17
par value
$2,000.00 period
34
rate
2.85%
coupon pmt
$62.70 market price
$2,123.07 5
Harpeth Valley Water District has a bond outstanding with a coupo
coupon rate
2.99%
semi-annual
2.00
yield to maturity
3.69%
maturity (yrs)
15
par value
$5,000.00 period
30
rate
1.85%
coupon pmt
$74.75 market price
$4,599.58 6
coupon rate
7.00%
bond purchase price
1,000.00
current price
$1,045.00 face value
$1,000.00 inflation rate
6.00%
one year coupon received
$70.00 total dollar return
$115.00 nominal rate of return
11.50%
real rate of return
5.19%
7
Year
Return
1
5.00%
2
-9.00%
3
28.00%
4
14.00%
5
15.00%
Total
53.00%
average return
10.60%
variance
0.01873
standard deviation
13.69%
8
You’ve observed the following returns on Crash-n-Burn Computer’s
Year
Return
1
6.00%
2
-9.00%
3
27.00%
4
15.00%
5
17.00%
Total
56.00%
avg inflation rate
3.30%
Assuming a $1,000 face value, what was your total dollar return on
What was the arithmetic average return on the company's stock o
avg t-bill rate
5.15%
avg nominal return
11.20%
avg real rate of return
7.65%
avg nominal risk premium
6.05%
9
Year
Return
(1+r)
1
14.00% 1.14 2
15.00% 1.15 3
10.00% 1.10 4
-7.00% 0.93 5
13.00% 1.13 6
-7.00% 0.93 Total
38.00% 1.41 arthmetric return
6.33%
geometric return
5.89%
10
Suppose the returns on an asset are normally distributed. The ave
avg annual return
6.60%
standard deviation
8.20%
probability of return less than
-2.80%
z-score
-1.146
using std normal dist. table
12.51%
95% z-score
1.96
lower bound
-9.47%
upper bound
22.67%
99% z-score
2.576
lower bound
-14.52%
upper bound
27.72%
11
The stock of Big Joe's has a beta of 1.48 and an expected return of
beta
1.48
expected return
12.50%
risk free rate of return
5.00%
What is the arithmetic return for the stock? What is the geometric
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xpected return on the market
10.07%
12
The risk-free rate is 2.6 percent and the market expected return is
beta
0.90
expected return
12.30%
risk free rate of return
2.60%
expected return of a stock
11.33%
percent. The inflation rate for the same period is 2 percent. What is the real rate ment had a real return of 7.4 percent, what was the nominal return on the invest
he real return on the investment was only 5.7 percent, what was the inflation rat
of 6.27 percent and semiannual payments. The yield to maturity is 5.7 percent a
on rate of 2.99 percent and semiannual payments. The bond matures in 15 years
s stock over the past five years: 6 percent, −9 percent, 27 percent, 15 percent, a
n this investment over the past year? What was your total nominal rate of return
over this five-year period? What was the variance of the company's returns over
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erage annual return for the asset over some period was 6.6 percent and the stan
f 12.50 percent. The risk-free rate of return is 5 percent. What is the expected re
return for the stock?
s 12.3 percent. What is the expected return of a stock that has a beta of .90?
of return on this bond?
tment?
te for the year?
and the bond matures in 17 years. What is the market price if the bond has a pa
s, with a yield to maturity of 3.69 percent, and a par value of $5,000. What is the
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and 17 percent. The average inflation rate over this period was 3.3 percent and n on this investment over the past year? If the inflation rate last year was 6 perce
this period? What was the standard deviation of the company's returns over this
ndard deviation of this asset for that period was 8.2 percent. Based on this inform
eturn on the market?
ar value of $2,000?
e market price of the bond?
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the average T-bill rate was 5.15 percent. What was the average real return on th
ent, what was your total real rate of return on this investment?
s period?
mation, what is the approximate probability that your return on this asset will be
he company's stock? What was the average nominal risk premium on the compa
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less than -2.8 percent in a given year? What range of returns would you expect
any's stock?
to see 95 percent of the time? What range would you expect to see 99 percent o
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of the time?
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Related Questions
If inflation is anticipated to be 6 percent during the next year, while the real rate of interest for one-year loan is 5 percent, then what should the nominal rate of interest be for a risk-free one-year loan? a. 11% b. 6%c. 5%d. 12%
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rate i=1.83%, what is the corresponding real, or inflation adjusted rate of interest for
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0.4409%
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0.56%
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0.69%
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5 year treasury notes are currently yielding 5.75%, and you have found the following interest premium that relate to this investment.
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0%
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5 Year Treasury Notes are currently yielding 5.50%, and you have found the following interest premium that relate to this investment.
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Liquidity premium 0.00%
Default risk premium 0.00%
Maturity risk premium 1.25%
Given the above information, what is the real risk rate of return?
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The risk-free interest rate is 4.1% per year, the liquidity premium is 0.5% per year, the maturity
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2.7% per year. What is the annual real interest rate?
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2) 1.5%
3) 2.3%
4) 2.1%
5) 1.7%
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Suppose 1 -year T-bills currently yield 7.00 % and the future inflation rate is expected to be constant at 4.70% per year. What is the real risk free rate of return
1.84%
2.76 %
2.46 %
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1, Consider the following table for an eight-year period: Year T-bill return Inflation 1 7.47% 8.53% 2 8.94 12.16 3 6.05 6.76 4 5.97 5.04 5 5.63 6.52 6 8.54 8.84 7 10.74 13.11 8 13.00 12.34
a, Calculate the average return for Treasury bills and the average annual inflation rate (consumer price index) for this period.
b, Calculate the standard deviation of Treasury bill returns and inflation over this time period.
c, Calculate the real return for each year.
d, What is the average real return for Treasury bills?
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1 . Calculating interest rates
The real risk-free rate (r*) is 2.8% and is expected to remain constant. Inflation is expected to be 4% per year for each of the next five years and 3% thereafter.
The maturity risk premium (MRP) is determined from the formula: 0.1(t – 1)%, where t is the security’s maturity. The liquidity premium (LP) on all Harrington Horticulture Co.’s bonds is 1.05%. The following table shows the current relationship between bond ratings and default risk premiums (DRP):
Rating
Default Risk Premium
U.S. Treasury
—
AAA
0.60%
AA
0.80%
A
1.05%
BBB
1.45%
Harrington Horticulture Co. issues 15-year, AA-rated bonds. What is the yield on one of these bonds? Disregard cross-product terms; that is, if averaging is required, use the arithmetic average.
a. 8.33%
b. 6.05%
c. 7.98%
d. 9.38%
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Question 3Answer
a.
6.00%
b.
10.00%
c.
4.50%
d.
5.50%
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