ScanSoft Development Company is developing a new process to
manufacture optical disks. The development costs were higher than
expected, so ScanSoft required an immediate cash inflow of $5 200
000. To raise the required capital, the company decided to issue
bonds. Since ScanSoft had no expertise in issuing and selling
bonds, the company decided to work with an investment dealer. The
investment dealer bought the company's entire bond issue at a
discount, and then planned to sell the bonds to the public at face
value or the current market value. To ensure it would raise the $5
200 000 it required, ScanSoft issued 5200 bonds with a face value
of $1000 each on January 20,2016. Interest is paid semi-annually on
July 20 and January 20, beginning July 20, 2016. The bonds pay
interest at 5.5% compounded semi-annually.
ScanSoft directors realize that when the bonds mature on
January 20, 2036, there must be $5 200 000 available to repay the
bondholders. To have enough money on hand to meet this obligation,
the directors set up a sinking fund using a specially designated
savings account. The company earns interest of 1.6% compounded
semi-annually on this sinking fund account. The directors began
making semi-annual payments to the sinking fund on July 20,
2016.
ScanSoft Development Company issued the bonds, sold them all
to the investment
dealer, and used the money raised to continue its research and
development.
QUESTIONS
1. How much would an investor have to pay for one of these
bonds to earn 4.4%
compounded semi-annually?
2. (a) What is the size of the sinking fund payment?
(b) What will be the total amount deposited into the sinking
fund account would be by January 2036?
(c) How much of the sinking fund will be interest?
3. Suppose ScanSoft discovers on January 20, 2026, that it can
earn 2.5% interest compounded semi-annually on its sinking fund
account.
(a) What is the balance in the sinking fund after the January
20, 2026, sinking fund payment?
(b) What is the new sinking fund payment if the fund begins to
earn 2.5% on January 21, 2026?
(c) What will be the total amount deposited into the sinking
fund account over the life of the bonds?
(d) How much of the sinking fund will then be interest?