Source: Tommy Stubbington and Ben Edwards,
open double quote“U.K.
to Repay First World War
Bonds,close double quote”
Wall Street
Journal,
October 31, 2014.
A few years ago the British government was considering retiring, or buying back from investors, some outstanding consols that had annual coupons of
pound£3535.
A consol is:
A.
a coupon bond that pays a fixed coupon rate and does not mature.
B.
a coupon bond that pays a fixed coupon rate and has a fixed maturity date.
C.
a coupon bond that pays a variable coupon rate and does not mature.
D.
a coupon bond that pays a variable coupon and has a fixed maturity date.
If the yield to maturity on other long-term British government bonds was
2.52.5%,
the price the British government is likely to offer investors is
£nothing.
(Enter your response to a nearest dollar.)
[Related to the Making the Connection
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] A student looking at the timeline for a student loan on page 60 of the text makes the following observation:
The text states that the interest rate on the loan is 9%, but this calculation is obviously wrong. Each monthly payment is
$ 127$127,
so the student will be paying back
$ 127 times 12 equals $ 1 comma 524$127×12=$1,524
per year. Therefore, because
the principal of the loan is
$ 10 comma 000$10,000,
the interest rate must be
StartFraction $ 1 comma 524 Over $ 10 comma 000 EndFraction equals 0.1524 or 15.24 %$1,524$10,000=0.1524 or 15.24%.
The above student statement is:
A.
incorrect because the stated rate on the loan is 9% which means that even though the loan is made with monthly payments, the borrower is still effectively only charged 9% a year.
B.
correct because even though the stated interest rate is 9%, payments are made monthly which means it is compounded more times so the effective rate should work out to 15.24%
C.
incorrect because part of each payment is to principal and to interest. Therefore, only a portion of the payment goes to interest, so the full amount should not be included when computing the rate of interest paid.
D.correct because as the student states, there is a payment of
$ 1 comma 524$1,524
per year that works out to 15.24%.
Suppose that you just bought a four-year
$1 comma 0001,000
coupon bond with a coupon rate of
5.25.2%
when the market interest rate is
5.25.2%.
One year later, the market interest rate falls to
3.23.2%.
The rate of return earned on the bond during the year was
nothing%.
(Round your response to two decimal places.)
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