Assume that HappyDays, Inc., pays an 8 percent return during expansions and a zero percent return during recessions with certainty. SadDays, Inc., pays a zero percent return in expansions and an 8...

Assume that HappyDays, Inc., pays an 8 percent return during expansions and a zero percent return during recessions with certainty. SadDays, Inc., pays a zero percent return in expansions and an 8 percent return in recessions with certainty. Show how the fluctuation in return is eliminated if an investor splits his or her surplus funds equally between HappyDays and SadDays.