Question

Waterway Railroad Co. is about to issue $460,000 of 6-year bonds paying an 7% interest rate,...

Waterway Railroad Co. is about to issue $460,000 of 6-year bonds paying an 7% interest rate, with interest payable semiannually. The discount rate for such securities is 8%.

Click below to view the factor tables.
Table 1. Future Value of 1
Table 2. Future Value of an Annuity of 1
Table 3. Present Value of 1
Table 4. Present Value of an Annuity of 1

(For calculation purposes, use 5 decimal places as displayed in the factor table provided.)

In this case, how much can Waterway expect to receive from the sale of these bonds? (Round answer to 0 decimal places, e.g. 2,525.)

Waterway can expect to receive $

Homework Answers

Answer #1

Face Value of Bonds = $460,000

Annual Coupon Rate = 7.00%
Semiannual Coupon Rate = 3.50%
Semiannual Coupon = 3.50% * $460,000
Semiannual Coupon = $16,100

Annual Discount Rate = 8.00%
Semiannual Discount Rate = 4.00%

Time to Maturity = 6 years
Semiannual Period = 12

Issue Price of Bonds = $16,100 * Present Value of an Annuity of $1 (4.00%, 12) + $460,000 * Present Value of $1 (4.00%, 12)
Issue Price of Bonds = $16,100 * 9.38507 + $460,000 * 0.62460
Issue Price of Bonds = $438,416

Waterway can expect to receive $438,416

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