Compounded continuously at rate
Assume that the stock pays dividends continuously at rate q>0 and the dividends are reinvested in the stock. Supposing that interest is compounded continuously at rate r, show that the no arbitrage forward price at time 0 is
F(0,T)=S(0)e^(r-q)T
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Analyze two to three of the challenges involved with using graphs, functions, and trees when modeling relationships. Provide examples with your response.
A vapor composed of 0.45 mole fraction ethanol and 0.55 mole fraction acetic acid at 120.0 mmHg (absolute), is in equilibrium with a liquid phase also composed of ethanol and acetic acid. Assume that the liquid is an ideal solution and apply Raoul
If the mortgage pool includes five 10% FRMs totaling $500,000, five 9% FRMs totaling $450,000 and ten 8% FRMs totaling $750,000, such that total value of the pool is $1.7M, what is the weighted average coupon (WAC) rate (in percent)?
Let A be the set of differentible functions. Illustrate a relation R by f R g if f'(x) = g'(x). Prove this is equivalence relation. Find/explain x2].
Employ Lagrange multipliers to find the coordinates of the point (x, y, z) on the plane z = 3 x + 4 y + 3 which is closest to the origin.
The drawing shows uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 43° by a brace that is attached to a pin.
Assume that the lending rate r1 and the borrowing rate r2 are different for investors so that r1>r2. Show that the no arbitrage forward price F(0,T) satisfies
Determine the size of the required monthly deposits (rounded up to the next cent) in order to have the $26050 on June 1, 2025.
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