(Investment fund) Solve Problem 2.1 by Newtons method with

a tolerance of 10_12, assuming M = 6000 euros, v

= 1000 euros and n = 5. As an initial guess take the result obtained

after 5 iterations of the bisection method applied on the interval (0.01, 0.1).

Problem 2.1 (Investment fund) At the beginning of every year

a bank customer deposits v euros in an investment fund and withdraws, at

the end of the nth year, a capital of M euros. We want to compute

the average yearly rate of interest r of this investment. Since M

is related to r by the relation

»

(Investment fund) Solve Problem 2.1 by Newtons method with

a tolerance of 10_12, assuming M = 6000 euros, v

= 1000 euros and n = 5. As an initial guess take the result obtained

after 5 iterations of the bisection method applied on the interval (0.01, 0.1).

Problem 2.1 (Investment fund) At the beginning of every year

a bank customer deposits v euros in an investment fund and withdraws, at

the end of the nth year, a capital of M euros. We want to compute

the average yearly rate of interest r of this investment. Since M

is related to r by the relation

we deduce that r is the root of the algebraic nonlinear

equation:

This problem will be solved in Example 2.1.

»

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