Determine the premium of one-year call option
Suppose that the risk free rate is 3.5%. Determine the premium of one-year call option with strike price of $38.50, if the profit of the buyer of the call is $4.78 and stock spot price is $44.34 at the end of the year.
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Find the value of k so that the given differential equation is exact. (y^3 + kxy^4 ? 2x) dx + (3xy^2 + 24x^2(y^3)) dy = 0.
Prove the following Theorem. If (X,d) is a metric space, then there is bounded metric on X which is equivalent to d. recall: When we say a metric p is bounded, we mean that there exists an M >0 such that p(x,y) <= M for all x,y in X.
Determine the relation between recursion and induction? How do you go about finding an explicit (closed-form) formula for a recursion relation?
Find out the current i at any time t after the switch is closed. 3 Determine the maximum current that can be obtained from the simple circuit?
A DNA chain is string of As, Ts, Gs, and Cs. How many DNA chains are there of length 12 which have the following properties? Has string of 10 or more consecutive Gs.
The air in the room 50 ft by 20 ft by 8 ft tests 0.2% carbon dioxide. Starting at t=0, outside air testing 0.05% carbon dioxide is admitted to room. How many cubic feet of this outside air should be admitted for each minute in order that the air i
Find out the roots of the simultaneous nonlinear equations (x-4)^2 + (y-4)^2 = 5 x^2 + y^2 = 16 Use a graphical approach to obtain your initial guesses. Determine refined estimates with the two-equation Newton-Raphson method.
A population of fish in lake grows at the rate proportional to its population. There're originally 600 fish in the lake and in absence of any outside factors, the population will double in 4 months time
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