A portfolio starts out worth $$1500.$ After the first year, it is worth $$1612\mathrm{.}50.$ After

the $2^{nd},$ it's worth $$1,677\mathrm{.}00.$ After the $3^{rd}$ year, it's valued at $$1,811\mathrm{.}16.$ In the $4^{th}$

year, it earns an HPR of $-5\mathrm{.}31\%.$

a$)$ What is this portfolio worth at the end of the $4^{th}$ year?

b$)$ What is its average annual rate of return?