Medium2 marksMultiple Choice
Business FinanceSection BBusiness FinanceConvertible Debt

ACCA · Question 21.2 · Business Finance

Section B - Case 2: Quantum Mesh Inc

Scenario: Quantum Mesh Inc is a tech startup developing AI-driven satellite mesh networks. A venture capital firm is considering a buyout. Quantum Mesh has an operating profit (EBIT) of $5m, depreciation of $1m, and a corporate tax rate of 20%. Capital expenditure for the year was $1.5m, and working capital increased by $0.5m.

Question 2: Quantum Mesh previously issued convertible bonds. The bonds have a nominal value of $100, a coupon rate of 5%, and 3 years to maturity. Similar non-convertible debt yields 8%.

What is the 'floor value' of one convertible bond? (Discount factors at 8%: Yr 1-3 annuity = 2.577, Yr 3 PV = 0.794)

Answer options:

A.

$85.50

B.

$92.29

C.

$100.00

D.

$108.00

How to approach this question

The floor value of a convertible bond is its value if it is never converted (i.e., its value as straight debt). Discount the future cash flows (annual interest and final redemption) at the market rate for non-convertible debt (8%).

Full Answer

B.$92.29✓ Correct
The floor value is the present value of the bond's cash flows discounted at the yield of equivalent non-convertible debt (8%). Annual interest = 5% of $100 = $5. PV of interest (Years 1-3) = $5 × 2.577 = $12.885 PV of redemption (Year 3) = $100 × 0.794 = $79.400 Floor value = $12.885 + $79.400 = $92.285 (rounded to $92.29).

Common mistakes

Discounting at the coupon rate (5%) instead of the market yield (8%), which would just give $100.

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