542 Instructor’s Manual
P20-5. High-Tech Fund III made a $3 million investment in Internet Printing Company (IPC) six
years ago and received 2 million shares of series A convertible preferred stock. Each of
these shares is convertible into two shares of IPC common stock. Three years later, High-
Tech III participated in a second round of financing for IPC and received 3 million shares
of series B convertible preferred stock in exchange for a $15 million investment. Each se-
ries B share is convertible into one share of IPC common stock. Internet Printing Company
is now planning an IPO, but it must convert all its outstanding convertible preferred shares
into common stock before the offering. After conversion, IPC will have 20 million com-
mon shares outstanding and will create another 2 million common shares for sale in the
IPO. The underwriter handling IPC’s initial offering expects to sell these new shares for
$45 each but has prohibited existing shareholders from selling any of their stock in the
IPO. The underwriter will keep 7% of the offer as an underwriting discount. Assume that
the IPO is successful and that IPC shares sell for $60 each immediately after the offering.
a. Calculate the total number of IPC common shares that High-Tech III will own after the
IPO. What fraction of IPC’s total outstanding common stock does this represent?
b. Using the post-issue market price for IPC shares, calculate the (unrealized) compound
annual return that High-Tech III earned on its original and subsequent investments in
IPC stock.
c. Now assume that the second-round IPC financing had been made under much less fa-
vorable conditions and that High-Tech III paid only $1 million instead of $15 million
for the 3 million series B shares. Assuming that all the other features of IPC’s initial
offering described above hold true, calculate the (unrealized) compound annual return
High-Tech III earned on this second investment in IPC stock.
A20-5. a. High Tech III will own 4 million shares from its initial investment, and 3 million from
b. The first, six-year investment turned $3 million into $240 million (4 million shares x
$60 = $240 million). The return is:
P20-6. Suppose that five out of ten investments made by a VC fund are a total loss, meaning that
the return on each of them is −100%. Of the ten investments, three break even, earning a 0
percent return. If the VC fund’s expected return equals 50%, what rate of return must it
earn on the two most successful deals to achieve a portfolio return equal to expectations?