Ali Company and Bill Company entered into a semi-annual pay plain vanilla interest rate swap with a nominal value of $8,000,000. Bill offered to pay Ali a fixed annual rate of 2.75% (with semi-annual compounding). The remaining life of the swap is nine months. Assume the six-month LIBOR rate observed three months ago was 2.6% with semi-annual compounding. Today's three and nine month LIBOR rates are 2.526% and 2.846% (with continuous compounding). The implied forward rate is 3.0287% with semi-annual compounding. What is the value of the swap to Bill Company using the FRA methodology? Do not round intermediate calculations.

A.$4,950

B.$2,009

C.-$1,407

D.$5,613

Ali Company and Bill Company entered into a semi-annual pay plain vanilla interest rate swap with a nominal value of $8,000,000. Bill offered to pay Ali a fixed annual rate of 2.75% (with semi-annual compounding). The remaining life of the swap is nine months. Assume the six-month LIBOR rate observed three months ago was 2.6% with semi-annual compounding. Today's three and nine month LIBOR rates are 2.526% and 2.846% (with continuous compounding). The implied forward rate is 3.0287% with semi-annual compounding. What is the present value of the net cash flow (or payoff) at nine months point to Bill Company?

A.$4,556

B.$4,913

C.$8,904

D.$10,913

Question 3 if we surround a point charge with a spherical Gaussian surface, the electric field around the Gaussian surface will always be uniform. True2) Given a uniform E-field, E = (2.001 - 3.00j + 4.00k) , and the Gaussian surface shown (a Rectangular Cuboid). There is no charge inside the surface. 1.50 m Calculate the Electric flux through each of the 6 surfaces: left, Pright, Ptop, 2.00 m 2.00 m Pbottom, Pfront, and @back. (show all your work, write down all the area vectors) X 1 BONUS POINT: What is the net flux through the Gaussian Surface if a Uranium nucleus is placed inside the Gaussian Surface? (HINT:use Gauss' Law) Z1. (25 pts/5pts each part) The figure shows a spherical shell with uniform volume charge density o = 1.76 nC/m', inner radius a = 15.0 cm, and outer radius b = 2.20a. What is the magnitude of the electric field (in N/C) at the following radial distances? (a) r = a/2.00 Qenc = 0 , so E = 0 (b) r = a Qenc = 0 , so E = 0 (c) r = 1.50a Only some of the total charge of the shell is contained in the Gaussian surface. Qenc = 0*Vsphere =[1.76 *101-9 C/m'] *4/3*pi*[(1.5a^3) - a^3] Area of Gaussian Surface = 4*pi* (1.5a)^2 E = Qenc/(Area of Gaussian Surface x Free Space Permittivity] = 10.5 N/c (d) r=b All of the total charge of the shell is contained in the Gaussian surface. Qenc = 0*Vsphere =[1.76 *101-9 C/m'] *4/3*pi*[(b^3) - a^3] Area of Gaussian Surface = 4*pi* (b)^2 E = Qenc/(Area of Gaussian Surface x Free Space Permittivity] = 19.8 N/c (e) r= 3.00b