Date $SPY t+1% t+2% t+3% t+4% t+5% 1st +’ve cls in 5 days% 1st -‘ve cls in 5 days% days for 1st +’ve cls 04-May-16 205.01 ??

Date $SPY t+1% t+2% t+3% t+4% t+5% 1st +’ve in 5 days% 1st -‘ve in 5 days% 29-Apr-16 ~205.6 ??

Date $SPY t+1% t+2% t+3% t+4% t+5% 1st +’ve in 5 days% 1st -‘ve in 5 days% 28-Apr-16 207.45 ??

Date $SPY t+1% t+2% t+3% t+4% t+5% 1st +’ve in 5 days% 1st -‘ve in 5 days% 28-Apr-16 207.45 ??

Date $SPY t+1% t+2% t+3% t+4% t+5% 1st +’ve in 5 days% 1st -‘ve in 5 days% 21-Apr-16 208.97 ??

Date $SPY t+1% t+2% t+3% t+4% t+5% t+10% t+20% 1st +’ve in 5 days% 1st -‘ve in 5 days% 18-Apr-16 209.24 ??

Date $SPY t+1% t+2% t+3% t+4% t+5% 1st +’ve in 5 days % 1st -‘ve in 5 days % 12-Apr-16 205.92 ??

The other day, we finally managed to apply Alfred Gray’s parametric equations on how to use it for $SPX year end price target.

Here, and are respectively the Weierstrass elliptic function, its derivative, and the Weierstrass zeta function, with invariants and , and and are the usual beta and gamma functions.

invariants parameter periods ranges semi

Date $SPY t+1% t+2% t+3% t+4% t+5% 1st +’ve in 5 days% 1st -‘ve in 5 days% 31-Mar-16 ~206.13 ??