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ind the present value of a payment §200 at the end of 5th year under theforce of interest 9.00% per annum.

Question

Find the present value of a payment §200 at the end of the 5th year under the force of interest 9.00% per annum.

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Solution

To find the present value of a future payment, we use the formula for present value which is:

PV = FV / (1 + r)^n

where:

  • PV is the present value
  • FV is the future value
  • r is the interest rate
  • n is the number of periods

In this case, the future value (FV) is $200, the interest rate (r) is 9% or 0.09 (expressed as a decimal), and the number of periods (n) is 5 years.

So, substituting these values into the formula, we get:

PV = 200 / (1 + 0.09)^5

Now, calculate the denominator (1 + 0.09)^5 = 1.53862 approximately.

Then, divide the future value by this number:

PV = 200 / 1.53862 = $130.01 approximately.

So, the present value of a payment of 200attheendof5yearswithaninterestrateof9200 at the end of 5 years with an interest rate of 9% per annum is approximately 130.01.

This problem has been solved

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