Ames Corporation is planning to issue bonds with a face value of $508,000 and a coupon rate of 6 percent. The bonds mature in 15 years and pay interest semiannually every June 30 and December 31. All of the bonds will be sold on January 1 of this year. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your final answer to whole dollars.) Required: Compute the issue (sale) price on January 1 of this year for each of the following independent cases: a. Case A: Market interest rate (annual): 4 percent. b. Case B: Market interest rate (annual): 6 percent. c. Case C: Market interest rate (annual): 8.5 percent.

Explanation:

a. Market rate of interest 4 %

Present value of the bonds = Semiannual coupon x PVIFA 2%,n=30 + Par Value x PVIF 2%, n=30 = $ 508,000 x 6% x 1/2 x 22.3965 + $ 508,000 x 0.5521 = $ 341,322.66 + $ 280,466.80 = $ 621789.46

 Issue Price$ 621,790

b. Market Interest Rate : 6%

Present value of the bonds = $ 508,000 x 6% x 1/2 x 19.6004 + $ 508,000 x 0.4120 = $ 298,710 + $ 209,296 = $ 508,000

 Issue Price$ 508,000

c. Market interest rate : 8.5 %

Present value of the bonds = Semiannual coupon x PVIFA 4.25%, n=30 + Par Value x PVIF 4.25%, n=30 = $ 508,000 x 6% x 1/2 x 16.7790 + $ 508,000 x 0.2869 = $ 255,711.96 + $ 145,745.20 = $ 401,457.16

 Issue Price$ 401,460

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.