An investor bought a stock for $$17($at t$=0)$ and one year later it paid a $$0$ dividend $($at t$=1).$ Just after the dividend was paid, the stock price was $$13($at t$=1).$ Inflation over the past year $($from t$=0$ to t$=1)$ was $9\%$ pa$,$ given as an effective annual rate. Which of the following statements is NOT correct? All answer options are rounded to $6$ decimal places. The stock investment produced a:

Select one:

a$.$

Nominal capital return of $-23\mathrm{.}529412\%$ pa$.$

b$.$

Nominal income return of $0\%$ pa$.$

c$.$

Real capital return of $-16\mathrm{.}647059\%$ pa$.$

d$.$

Real income return of $0\%$ pa$.$

e$.$

Real total return of $-29\mathrm{.}843497\%$ pa$.$