Answer:
The owner will maximize value if it waits 29th years Assuming 5% continuos inflation
Explanation:
the price formula for the future years is:
while it is adjusted for inflation at:
so the complete formula for value is:
Now, we can derivate and obtain the roots
Getting at a root exist at the 29th year.
The owner will maximize value if it waits 29th years Assuming 5% continuos inflation
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:
=
=
=
=
=
=
= %