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Andreyy89
3 years ago
8

On January 1, Revis Consulting entered into a contract to complete a cost reduction program for Green Financial over a six-month

period. Revis will receive $39,200 from Green at the end of each month. If total cost savings reach a specific target, Revis will receive an additional $19,600 from Green at the end of the contract, but if total cost savings fall short, Revis will refund $19,600 to Green. Revis estimates an 80% chance that cost savings will reach the target and calculates the contract price based on the expected value of future payments to be received.
Business
1 answer:
Gennadij [26K]3 years ago
6 0

Answer:

The contract price based on the expected value of future payments to be received is $246,960

Explanation:

The computation of the expected value is shown below:

For meeting the target, it will equal to

= (Received amount × number of months + additional amount) × probability rate

= ($39,200 × 6 months + $19,600) × 80%

= $203,840

For not meeting the target, it will equal to

= (Received amount × number of months - additional amount) × remaining  probability rate

= ($39,200 × 6 months - $19,600) × 20%

= $43,120

So, the total expected value would be

= $203,840 + $43,120

= $246,960

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3 years ago
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3 years ago
The current price of the common stock of Internet Enterprises is $100. Over the course of a year, the stock's price will either
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Answer:

Current value of this newly issued option on Internet Enterprises= $25

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Hence, risk free rate for period 2= (1+21%)/(1+10%)-1=10%

Now, Risk free rate factor for period 1 (R1)=1+10%=1.1

Risk Free rate factor for period 2 (R2)=1+10%=1.1

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Downward price factor for a period(d)=(1-50%)^(1/2)=0.707

Probability of upward price= (R-d)/(u-d)=(1.1-0.707)/(1.414-0.707)=0.55

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Downward price =100*0.707=70.7 with probability 45%

After period 2:

Upward Price will be =141.4*1.414=200 with probability= 55%*55%=30.25%

Downward price will be=70.7*0.707=50 with probability=45%*45%=20.25%

Mid price will be = 141.4*0.707 or 70.7*1.414=100 with probability =2*45%*55%=49.5%

Now, the highest price the stock can go is $200 with probability 30.25% and it was issued at $100

Hence, expected payoff of the option=30.25%*(200-100)=$30.25

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