On August 1, Year 1, Ant Company sold Bee Company $1,500,000 of 10-year, 6% bonds, dated July 1 at 100 plus accrued interest. On
March 1, Year 2, Bee sold half of the bonds for $782,500 plus accrued interest. Present entries to record the following transactions:
Bee Company:
a. Purchase of bonds on August 1, Year 1.
b. Receipt of first semiannual interest amount on December 31, Year 1.
c. The sale of the bonds on March 1, Year 2.
Bee Company:
a. Purchase of bonds on August 1, Year 1.
b. Receipt of first semiannual interest amount on December 31, Year 1.
c. The sale of the bonds on March 1, Year 2.
1 answer:
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Answer:
(a) 9.9%
(b) 10.09%
The further explanation is given below.
Explanation:
The given values are:
Coupon payment
= $99
Price
= $1,000
(a)
The Yield to maturity (YTM) will be:
=
where,
C = Coupon payment
P = Price
n = years to maturity
F = Face value
On putting the estimated values is the above formula, we get
⇒
⇒
⇒ %
(b)
Although the 1st year coupon was indeed reinvested outside an interest rate of r%, cumulative money raised will indeed be made at the end of 2nd year.
=
Came to the realization compound YTM is therefore a function of r, as is shown throughout the table below:
Rate (r) Total proceeds Realized YTM ()
7.9% 1205.8 9.8%
9.9% 1207.8 9.9%
11.9% 1209.8 9.99%
Now,
Overall proceeds realized YTM:
=
=
=
=
=
=
= %