Question

3. Actuarial Interest Rate (a) What is your understanding ofactuarial interest rate? (b) For a loan with a single payment of principal and interest due at the end of N periods, the actuarial interest rate ray be calculated as follows: 0V-PKI+i) Using the above formula, find the actuarial interest rate of a loan of $30.000 to be repaid in equal annual installments of $6,68747 each over a 6-year period.

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Ans a) My understanding of actuarial interest rate is the same as cost of borrowing for a particular interval which is what is used as a discount rate in the second problem.

Ans b) Calculation of discount rate through Present Value Annuity Table where in Vo is $6687.47 n is 6 years, Po is $30,000. The result will be 9.00% which is actuarial interest rate.

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