A real-estate developer is building a 50-unit housing complex, the Designer Village Complex, near Boca Raton, Florida.
Question:
A real-estate developer is building a 50-unit housing complex, the Designer Village Complex, near Boca Raton, Florida. Mortgage rates are currently around 4% and the developer, Sally Zimmerman, thinks that she will be able to sell the units at an average of $200,000 each. One of her great fears is that mortgage rates will climb above 5-6% during the year it will take for construction. Buyers become fewer, and more reluctant, as mortgage rates climb and there is an abrupt drop off at about 5%. Sally prepared a table showing how her expected profit varies with the mortgage rate in one year's time.
Mortgage Rate 2% 2 1⁄2% 3% 3 1⁄2% 4% 4 1⁄2 5% 5 1⁄2 6% 6 1⁄2%
Profit ($ millions) 3 3 3 2.5 2 1.5 1 -1 -3 -3
For simplicity, assume that there are traded options on mortgage rates. Assume further that upon exercise, the holder of a call option receives max [{mortgage rate − strike rate} × 1 million, 0]. The payoffs from a put option are defined in a similar manner.
Configure a portfolio of options on mortgage rates that would ensure that Sally's profits do not drop below $2 million, but with hedging costs minimized by limiting the upside at $2 million, when interest rates are high.
South Western Federal Taxation 2023 Comprehensive Volume
ISBN: 9780357719688
46th Edition
Authors: Annette Nellen, Andrew D. Cuccia, Mark Persellin, James C. Young