Math Problem Statement

What is the effective interest rate on a lease for a $170,000 truck with $0 down, $4,000 monthly payment over 5 years, and $1 buy-out option at the end?*

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What is the effective interest rate on the same truck and loan terms except $20,000 buy- out option at the end?*

Solution

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Math Problem Analysis

Mathematical Concepts

Finance
Interest Rate Calculation
Lease Payments
Effective Interest Rate

Formulas

Present Value of Annuity Formula: PVA = PMT × [(1 - (1 + r)^-n) / r]
Future Value Formula: FV = PV × (1 + r)^n
Effective Interest Rate Formula: r = (1 + (i/n))^n - 1

Theorems

Annuity Theorem
Compound Interest Theorem

Suitable Grade Level

Undergraduate Finance/Business