Task 1: Financing Comparison (30 points – maximum 3 pages) A company has received two loan
offers:
An annuity loan A of 400,000 euros with a term until full repayment of five years and an
annual annuity payment of 100,000 euros due at the end of each year.A bullet repayment B of 400,000 euros, due in five years, with an interest rate of 10% per
annum. The company’s current overdraft account is in deficit.
There is a 40% probability that the overdraft account will remain in credit in the four periods
following t = 1. • With the complementary probability, the overdraft account will remain in deficit
until and including t = 5. The bank managing the overdraft account charges an interest rate of 20%
for deficits and 10% for credits. The overdraft account is settled annually.
a) Calculate the profitability of the two loan offers, differentiating between situations H (overdraft
account in credit from t = 1) and S (overdraft account permanently in deficit). (20 points)
b) Discuss, based on your results from a), the business decision regarding which of the two loan
offers should be preferred. (10 points)
Task 2: Convertible Bond (30 points – maximum 4 pages) On December 31, 2020, Kompakt AG issued
a convertible bond with a nominal value of 100 million euros. The total issuance is divided into
100,000 units at 1,000 euros each. Three warrants are attached to each of these units at the time of
issuance. Each warrant entitles the holder to purchase a share with a face value of 100 euros. The
exercise price upon exercise is 180 euros per share. The newly issued shares upon exercise of the
warrants are identical to the old shares.
Interest payments on the bond are made annually in arrears. The nominal interest rate is 5%. The
bond matures at par on December 31, 2030. The issue price is 1,250 euros per unit. The right to
acquire the shares can be exercised from the issuance date until December 31, 2025, at unchanged
conditions.
In the stock market, both the convertible bond cum (with warrants) and the convertible bond ex
(without warrants), as well as the warrants themselves, are listed from the issuance date.
a) Calculate the yield to maturity of the convertible bond ex, which is the return that would accrue to
the bondholder in case the conversion right is not exercised at bond maturity. (7 points)
b) The market interest rate for comparable bonds with the same maturity and no warrants is ten
percent on December 31, 2020. What should be the market price for the bond without warrants on
the issuance date? (10 points) On December 31, 2025, Kompakt AG’s shares with a face value of 100
euros are trading at 400 euros. None of the issued warrants have been exercised by that date. At this
time, Kompakt AG has a share capital of 300 million euros.
c1) Discuss potential effects on the stock price if all warrants are exercised on December 31, 2025. (8
points) c2) Investor A holds 15 warrants. What could be the value of these warrants on December 31,
2025? (5 points)
Task 3: Capital Structure (30 points – maximum 4 pages) Please revisit Tasks 1 and 2, this time from a
capital structure theoretical perspective on each company.
a) What changes could the capital structure of each company undergo through the respective
