In: Accounting
Shamrock, Inc. owns 25% of the common shares of Whispering Winds
Corp. The other 75% of the shares are owned by the Sheffield
family. Shamrock acquired the shares eight years ago through a
financing transaction. Each year, Shamrock has received a dividend
from Sheffield. Sheffield has been in business for 60 years and
continues to have strong operations and cash flows. Shamrock must
determine the fair value of this investment at its year end. Since
there is no market on which the shares are traded, Shamrock must
use a discounted cash flow model to determine fair value.
Shamrock management intends to hold the shares for 5 more years, at
which time they will sell the shares to the Sheffield family under
an existing agreement for $1 million. There is no uncertainty in
this amount. Management expects to receive dividends of $81,000 for
each of the five years, although there is a 20% chance that
dividends could be $47,500 each year. The risk-free rate is 6% and
the risk-adjusted rate is 8%.
Calculate the fair value of the investment in Sheffield using the traditional approach. (For calculation purposes, use 5 decimal places as displayed in the factor table provided. Round answers to 0 decimal places, e.g. 5,275.)
Calculate the fair value of the investment using the expected cash flow approach. (For calculation purposes, use 5 decimal places as displayed in the factor table provided. Round answers to 0 decimal places, e.g. 5,275.)
calculation of the fair value of the investment as per traditional approch
annual cash expected = $81000( PV factor of anuity 5 years , 8% )
= $ 81000* 3.9927100 = $ 323410
and at the end of 5 year sales proceed also received
= $ 10,00,000 ( PV factor for year 5 , 8% )
= $ 10,00,000 * .680583
=$ 680583
hence the fair value of investment = $ 323410 + $ 680583 = 1003993
2)calculation of the fair value of the investment as per expected cash flow approch
The probability weighted annual cash flow is | ||
$ 81000 * 80% | $ 64800 | because 80% chance dividend of 81000 will be received |
$ 47500 * 20% | $ 9500 | because 20% chance dividend of 47500 will be received |
$ 74300 |
annual cash flow = $ 74300 ( ( PV factor of anuity 5 years , 6% )
= $ 74300 * 4.21236
=$ 312978
and at the end of 5 year sales proceed also received
= $ 10,00,000 ( PV factor for year 5 , 6% )
= $ 10,00,000 * 0.747258
=$ 747258
hence the fair value of investment = $ 312978 + $ 747258 = 1060236
in the cash flow approch we take risk free rate because cash flows are already adjusted for risk so we discounted with risk free rate