Answer:
The amount that has to be deposited today is $6205.63
Explanation:
The given parameters are;
The annual interest rate for the first 5 years = 4 percent
The annual interest rate for the next 4 years = 4.6 percent
The annual interest rate for the final 8 years = 5.3 percent
Let the amount deposited be X, we have;
X × (1 + 0.04)⁵ + X × (1 + 0.04)⁵×(1.046)⁴ + X × (1 + 0.04)⁵×(1.046)⁴ ×(1.053)⁸ = $30,250
X ((1.04)^5 + (1 + 0.04)^5×(1.046)^4 + (1 + 0.04)^5×(1.046)^4 ×(1.053)^8) = $30,250
X × 4.875 = $30,250
X = $30,250/$4.875 = $6205.63
The amount that has to be deposited today = $6205.63.
