Question
Q5. Assume you buy $1,000 of a convertible bond at par, which was offered at a 2.5% discount to its theoretical value. The stock price
Q5. Assume you buy $1,000 of a convertible bond at par, which was offered at a 2.5%
discount to its theoretical value. The stock price on the day of purchase is $35, and
carries a 1% dividend yield. The convertible bond has a 4% coupon, a conversion
premium of 20%, and a delta of 56%. Interest income from the short position is
1.5%, and stock borrow cost is 0.25%. During a one-year holding period, the stock
moves 3 times. The percentage change in stock price, corresponding convertible
bond value, and new delta ratio, in sequential order are as follows: +7% / $1,037.12
/ 61%; -5% / $1,012.11 / 58%; +4% / $1,032.71 / 60%. Calculate the returns
generated from this investment after one year, broken out by Income Generation,
Monetizing Volatility, and Purchasing an Undervalued Convertible. Ignore
transaction costs for the purposes of this exercise.
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