Question

On January 1, 2021, Clark Corporation sold an $800,000, 7% bond issued for $767,320. The bonds are to pay interest quarterly and mature in 5 years. The market rate of interest if 8%. What is Clark’s total cost of borrowing?

Answer 1

Clark Corporation's total cost of borrowing $800,000, 7% bonds issued for $767,320 for 5 years is $344,702.87.

What is the total cost of borrowing?

The total cost of borrowing includes the bond discounts and the interest expenses.

In this case, the total cost of borrowing is $344,702.87.  However, this is only the pre-tax cost.

Data and Calculations:

Face value = $800,000

Interest rate = 7%

Bonds proceeds = $767,320

Bonds discounts = $32,680 ($800,000 - $767,320)

Maturity period = 5 years

Market rate = 8%

Interest payment = quarterly

Quarter interest expense = $14,000 ($800,000 x 7% x 1/4)

N (# of periods) = 20 (5 x 4)

I/Y (Interest per year) = 8%

PMT (Periodic Payment) = $14,000 ($800,000 x 7% x 1/4)

FV (Future Value) = $800,000

Results:

PV = $767,297.13

Sum of all periodic payments = $280,000 ($14,000 x 20)

Total Interest = $312,702.87

Total cost of borrowing = $344,702.87 ($32,680 + $312,702.87)

Thus, Clark Corporation's total cost of borrowing $800,000, 7% bonds issued for $767,320 for 5 years is $344,702.87.

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