CFA-LEVEL-II practice question 2 of 10
MediSoft Inc. develops and distributes high-tech medical software used in hospitals and clinics across the United States and Canada. The firm's…
Full set: 715 questionsTo calculate the premium payback period (time to recover the market conversion premium), we first determine the conversion ratio, market conversion price, and premium per share. The conversion ratio is Par Value / Conversion Price = $1,000 / $55.56 = 18 shares. The market conversion price is Market Price / Conversion Ratio = $947 / 18 = $52.61 per share. The market conversion premium per share is $52.61 - $50.00 = $2.61. Next, compute the favorable income differential per share: Coupon per share = $72.50 / 18 = $4.028, minus Dividend per share = $1.80, yielding $2.228 per share. Finally, Premium Payback Period = Premium per share / Income differential per share = $2.611 / $2.228 = 1.17 years.
B. 1.32 is incorrect because it results from errors in calculating the conversion ratio or using improper rounding for the favorable income differential per share.
C. 2.26 is incorrect as it erroneously calculates payback by dividing the total bond premium ($47) by the annual coupon income differential rather than per-share metrics.
- CFA Institute. CFA Program Curriculum Level II: Fixed Income and Derivatives. Reading on Valuation and Analysis of Bonds with Embedded Options.
- Fabozzi, F. J. The Handbook of Fixed Income Securities, 9th ed., McGraw-Hill Education, Chapter 49: Convertible Securities, pp. 1145–1152.
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