Multiple Choice Quiz PLS SHOW THE CALCULATIONS AND EXPLAIN THE ANSWERS. 5 A $100
ID: 2665169 • Letter: M
Question
Multiple Choice QuizPLS SHOW THE CALCULATIONS AND EXPLAIN THE ANSWERS.
5
A $1000 face value bond, with an annual coupon of $40, one year to maturity 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 maturity that equals 6.12%.
D) Has a current yield that equals 4.08% and a yield to maturity that 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 to maturity.
B) The yield to maturity will exceed the holding period return.
C) The yield to maturity will be 6.38%.
D) a and c.
8
If a one-year zero-coupon bond has a face value of $100, is purchased for $94, and is held to maturity:
A) The holding period return will exceed the yield to maturity.
B) The yield to maturity will exceed the holding period return.
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 of this 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 1 year to maturity. Calculate the current yield, coupon rate and the yield 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 1 year to maturity. Calculate the current yield, coupon rate and the yield 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 other factors 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 that is originally purchased for $475. Calculate the holding period return 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 that is originally purchased for $1,490. Calculate the holding period return 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 default risk.
B) Decrease since people will bail out of all government bonds.
C) Increase as the demand for these bonds increases.
D) Not be affected because the two types of bonds are traded in different markets.
Explanation / Answer
Face Value of the bond = $1,000
Annual Coupon Payment = $40
Number of years to maturity = 1 year
Current Market price of the bond = $980
Current Yield of the bond = [Annual Coupon Payment / Current Market price of the bond]
Current Yield of the bond = [$40 / $980]
Current Yield of the bond = 0.0408163 (or) 4.08%
Calculating Yield to Maturity of the bond (YTM):
(Using “Ms-excel” “Rate” Function):
Number of periods to Maturity (Nper)
1
Annual Coupon Payment (PMT)
-40
Present market value of the bond (PV)
980
Par Value (or) Face value of the bond (FV)
-1000
Yield to Maturity of the bond (YTM)
6.12%
Hence, the correct option is (C) Has a current yield that equals 4.08% and a yield to maturity that equals 6.12%
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Face Value of the bond = $100
Current purchase price of the bond = $94
(B) The yield to maturity will exceed the holding period return.
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Current Market price of the bond = $1,100
Number of years = 1 year
Interest rate (YTM) is decreases from 10% to 8%
Par value of the bond = $1,000
Yiled to Maturity of the bond (YTM)
8%
Number of years to Maturity (Nper)
1
Annual Coupon Payment (PMT)
0
Par value (or) Future Value of the bond (FV)
1100
Present Value of the bond (PV)
$1,018.52
Hence, the correct option is (A) increases from $1,000 to $1,018
Face Value of the bond = $1,000
Annual Coupon Payment = $55
Number of years to Maturity = 1 year
Current Market Value of the bond = $940
Current Yield of the bond = [Annual Coupon Payment / Current Market Price of the bond]
Current Yield of the bond = [$55 / $940]
Current Yield of the bond = 0.0585 (or) 5.85%
Annual Coupon rate = $55 / $1,000
Annual Coupon rate = 0.055 (or) 5.5%
Calculating Yield to Maturity of the bond (YTM):
(Using Ms-Excel “Rate” Function):
Number of years to maturity (Nper)
1
Annual Coupon Payment of the bond (PMT)
-55
Current Market value of the bond (PV)
940
Par value (or) Future Value of the bond (FV)
-1000
Yield to Maturity of the bond (YTM)
12.23%
Hence, the correct option is (B) Current Yield = 5.85%; Coupon rate = 5.50%
Yield to Maturity = 12.23%
Number of periods to Maturity (Nper)
1
Annual Coupon Payment (PMT)
-40
Present market value of the bond (PV)
980
Par Value (or) Face value of the bond (FV)
-1000
Yield to Maturity of the bond (YTM)
6.12%
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