Final answer:
To find the discount rate for parity, use the formula: Discount Rate = [(Present Value/Future Value)^(1/n)] - 1. In this case, the Discount Rate is approximately 2.3000%.
Step-by-step explanation:
To find the discount rate for parity, we can use the formula:
Future Value = Present Value/(1 + Discount Rate)^n
Where Future Value is the expected future interest rate, Present Value is the current value of the deal, Discount Rate is the discount rate for parity, and n is the number of periods.
In this case, the final value of the deal is $15 million after 15 years. So the equation becomes:
$15 million = $51.3 million/(1 + Discount Rate)^15
Simplifying the equation and solving for the Discount Rate gives us:
Discount Rate = [(Present Value/Future Value)^(1/n)] - 1
Plugging in the values, we get:
Discount Rate = [($51.3 million/$15 million)^(1/15)] - 1
Calculating this gives us a Discount Rate of approximately 2.3000%.