The value of a European call option on the stock with strike k=102k=102 is: 2.03529 and the amount of dollar to invest in the cash account is $28.694
<h3>European call option</h3>
Given:
R=1.02
S0 = 100
u=1/d= 1.05
Strike(k) = 102
First step
Upside Price = u × S0
Upside Price = 1.05 × 100
Upside Price = 105
Downside Price = S0/u
Downside Price= 100×1/1.05
Downside Price= 95.238
Upside Payoff = upside price - strike rate
Upside Payoff =(105 - 102)
Upside Payoff = 3
Second step
Upside probability=(r - q) / u - d
Upside probability=1.02- (1/1.05)÷ 1.05- (1/1.05)
Upside probability=0.0676190/0.0976190
Upside probability=0.692
Probability of downside = 1 - p(upside)
Probability of downside = 1 - 0.692
Probability of downside = 0.30731722
Third step
European call option=[0.692×3+0.30731722×0]×1/100
European call option=2.03529
Let B represent the Dollar to invest
105D -1.05B=3
95.238D-1.02B=0
Solving for B
B=$28.694
Therefore the value of a European call option on the stock with strike k=102k=102 is: 2.03529 and the amount of dollar to invest in the cash account is $28.694
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Answer: B) The option premium is greater or equal to its intrinsic value because of the time premium.
Explanation:
The option premium can be calculated by adding the time premium and the intrinsic value. The time premium is the part of the option premium that accounts for the time remaining till the premium matures while the intrinsic value is the difference between the value of underlying asset and the strike price.
As the time premium can be zero but never negative, the option premium can either be greater than its intrinsic value or equal to it. It cannot be lower than it because of the time premium.
Answer:
It the company buys the units, the effect on income will be an $8,000 decrease.
Explanation:
Giving the following information:
Production costs:
Direct materials= $13.2
Direct labor= 20.8
Variable manufacturing overhead= 3.00
Avoidable fixed manufacturing overhead= 4.5
Unitary cost= $41.5
Outside supplier offer= 10,000 units for $42,3 each
We need to calculate the relevant total cost of each option.
Make in-house:
Total relevant cost= 10,000*41.5= $415,000
Buy:
Total relevant cost= 10,000*42.3= $423,000
It the company buys the units, the effect on income will be an $8,000 decrease.
The marginal benefit that gained by reducing pollution should be more than marginal cost used to reduce pollution.
Explanation:
In order to reduce the net cost for pollution reduction the marginal benefit should be more than marginal cost. If the marginal benefit is more than marginal cost then it will be good for the society . Marginal benefit reduces when there is increase in consumption , when the marginal cost is more than marginal benefit which means by consuming one extra unit the consumer is not getting the satisfaction.