A local bank will pay you $100 a year for your lifetime if you deposit $2,500 in the bank today. If you plan to live forever, what interest rate is the bank paying?

Respuesta :

Answer:

The interest rate for the perpetuity will be of 4%

Explanation:

The interest rate of a perpetuity will be calcualted as follows:

[tex]\frac{C}{Principal} = rate[/tex]

[tex]\frac{100}{2500} = 0.04[/tex]

The bank will pay an interest rate of 4%

The interest rate payed by the bank for lifetime has been 4%.

Interest rate has been defined as the amount return to the bank at with respect to the principal amount. The interest rate has been given onto the principal at varying percent.

Given,

The principal value of investment, [tex]P=\$2,500[/tex]

The amount paid by bank per year, [tex]A=\$100[/tex]

The interest rate (r) to the base amount has been given by:

[tex]r=\dfrac{A}{P}\;\times\;100\\r=\dfrac{100}{2500}\;\times\;100\\r=4\%[/tex]

The interest rate payed by the bank for lifetime has been 4%.

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