Assume the current CPI is 241. In 20 years, the CPI is expected to be 358. If you are considering an investment with an expected nominal rate of return of 5%, then what is the expected real rate of return for this investment

Respuesta :

Answer:

The expected real rate of return for this investment is  -0.21 or -21%

Explanation:

[tex]CPI_{i}[/tex] = 241, [tex]CPI_{t}[/tex] = 358, nominal rate of return = 5% = 0.05

Calculating for inflation rate, we have:

Inflation rate (IR) = [tex]\frac{CPI _t - CPI _i}{CPI _t}[/tex] * 100% = [tex]\frac{358 - 241}{358}[/tex] * 100%

IR = 32.68% ≈ 33% or 0.33

Calculating for inflation rate, we have:

Real rate of return = [tex](\frac{1 + Nominal rate}{1 + Inflation rate}) - 1[/tex]

RR = [tex](\frac{1 + NR}{1 + IR}) - 1[/tex] = [tex](\frac{1 + 0.05}{1 + 0.33}) - 1[/tex]

RR = -0.21 or -21%

The investment loses value over the next 20 years