Squara

08.02.2021 • 

Business

You have an option to purchase all of the assets of the Overland Railroad for $2.5 billion. The option expires in 9 months. You estimate Overland’s current (month 0) present value (PV) as $2.7 billion. Overland generates after-tax free cash flow (FCF) of $50 million at the end of each quarter (i.e., at the end of each three-month period). If you exercise your option at the start of the quarter, that quarter’s cash flow is paid out to you. If you do not exercise, the cash flow goes to Overland’s current owners. In each quarter, Overland’s PV either increases by 10 percent or decreases by 9.09 percent. This PV includes the quarterly FCF of $50 million. After the $50 million is paid out, PV drops by $50 million. Thus the binomial tree for the first quarter is (figures in millions):
Month 0 now Month 3 end of quarter
PV before payout--FCF= end of quarter PV
PV=2700 2970-50=2920
(+10%)
2455-50=2405
(-9.09%)
The risk-free interest rate is 2 percent per quarter.
(a) Build a binomial tree for Overland, with one up or down change for each 3-month period (three steps to cover your 9-month option).
(b) Suppose you can only exercise your option now, or after 9 months (not at month 3 or 6). Would you exercise now?
(c) Suppose you can exercise now, or at month 3, 6, or 9. What is your option worth today? Should you exercise today, orwait?

Ответ:

jeanma0

19.08.2020

Business

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So first you know that if a is apple pies and b is blueberry that
$460=11a+13b in terms of price and you also know that the number
a+b=38
I solved that for either a or b (I chose a)
So
A=38-b
Them I plugged it in to the money equation to solve for b
460=11(38-b)+13b
460=418-11b+13b
460=418+2b
42=2b
B=21
Therefore you can do 38(total pies)-21(what b equals) to find the apple pies which would be 17 so a=17
Therefore the answer is B (17 apple and 21 blueberry)

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