Answer:
The initial invest must be 93.199,45
Step-by-step explanation:
Topic: Compound Interest
Remember the present value and future value formulas. the one needed for this excersice is present value formula, as it follows
[tex]P_{v} = F_{v}/(1+i)^{n}[/tex]
to calculate the n value you have to sustract the age of retirement and the actual age being
[tex]n= 80 - 55 = 25[/tex]
and the compound interest being 6% annually
so the calculation would be
[tex]P_{v} = \frac{F_{v}}{(1+6\%)^{n} }[/tex]
replacing the values would make
[tex]P_{v} = \frac{400.000}{((1+0.06)^{25} } = 93.199,45[/tex]
