Assume that the solar radiation incident in the Earth has an intensity of 1340 \frac{W}{m^2}. Calculate the total power radiated by the Sun, taking the average distance from the Sun to be 1.49 x10^{11} m.

The price of the bond today can be calculated as follows: PV = (C / (1 + r)) + (C / (1 + r)?) + (C / (1 + r)?) + (C + FV / (1 + r)?) where PV is the present value of the bond, C is the annual coupon payment, r is the yield on equivalently risky corporate bonds, and FV is the face value of the bond. Substituting the given values, we get: PV = (100 / (1 + 0.15)) + (100 / (1 + 0.15)?) + (100 / (1 + 0.15)?) + (100 + 1000 / (1 + 0.15)?) PV = $872.87 To calculate the price of the bond after each of the first four coupon payments, we need to discount the remaining cash flows (coupons and face value) by the yield of 15%. The prices are as follows: After 1st coupon payment: $855.87 After 2nd coupon payment: $837.19 After 3rd coupon payment: $816.41 After 4th coupon payment: $793.03 Plotting these prices on a graph with time on the x-axis and price on the y-axis, we get an upward sloping curve. This is because as time passes and each coupon payment is made, there is less uncertainty about receiving the face value at maturity. Therefore, the bond becomes less risky and more valuable, causing the price to increase over time.