give the calculation step by step as like as full answer in 2 steps and explanation block in every steps.
And final answer summary
Definition of Parameters
Solutions are reviewed by our quality t

Question

give the calculation step by step as like as full answer in 2 steps and explanation block in every steps. 
And final answer summary
Definition of Parameters 
Solutions are reviewed by our quality team mainly based on 6 parameters: Relevancy, Completeness, Accuracy, Clarity, Structure, and Voice. 
Relevancy: This indicates how closely a solution aligns with the question asked. It evaluates whether the solution addresses the core aspects of the question and provides appropriate information. 
Completeness: This indicates how thoroughly the solution addresses various asks in the question. It evaluates whether the solution has all essential information like calculations, diagrams, procedural steps, & explanatory statements in the solution. 
Accuracy: It refers to how correct the provided solution is for the given question/s. This evaluates the correctness of the information/concept/method followed in the solution. 
Clarity: Clarity refers to how easily the solution can be understood by the student. This evaluates the language complexity, readability, and redundancy of a solution. 
Structure: Structure refers to how the solution is organized and presented in relation to the requi

VIPSolutions · Accepted Answer

**Step 1: Calculate the annual payment for the amortized loan.**

**Given:**
- Principal ($P$): $50,000
- Annual interest rate ($r$): 8% or 0.08
- Number of years ($n$): 5

**Formula for annual payment on an amortized loan:**
$$
A = \frac{P \cdot r (1 + r)^n}{(1 + r)^n - 1}
$$

**Plug the values into the formula:**
$$
A = \frac{50,000 \times 0.08 \times (1 + 0.08)^5}{(1 + 0.08)^5 - 1}
$$

First, calculate $ (1 + 0.08)^5 $:
$$
(1.08)^5 \approx 1.4693
$$

Now, substitute into the formula:
$$
A = \frac{50,000 \times 0.08 \times 1.4693}{1.4693 - 1}
$$
$$
A = \frac{50,000 \times 0.117544}{0.4693}
$$
$$
A = \frac{5,877.2}{0.4693} \approx 12,527.50
$$

**Explanation:**  
The annual payment ($A$) is calculated using the standard amortization formula, considering the principal, interest rate, and number of years. This amount includes both interest and principal repayment each year.

---

**Step 2: Prepare the amortization schedule for 2 years, then calculate the payoff amount after 2 payments.**

**Year 1:**
- **Interest for Year 1:** $50,000 \times 0.08 = 4,000$
- **Principal paid in Year 1:** $12,527.50 - 4,000 = 8,527.50$
- **Remaining balance after Year 1:** $50,000 - 8,527.50 = 41,472.50$

**Year 2:**
- **Interest for Year 2:** $41,472.50 \times 0.08 = 3,317.80$
- **Principal paid in Year 2:** $12,527.50 - 3,317.80 = 9,209.70$
- **Remaining balance after Year 2:** $41,472.50 - 9,209.70 = 32,262.80$

**Payoff amount after 2 payments:**  
The payoff amount is the remaining principal after two payments, which is **$32,262.80**.

**Explanation:**  
Each year's payment is split between interest and principal. The interest for the year is calculated on the outstanding balance at the start of the year, and the rest of the payment goes toward reducing the principal. After two payments, the remaining principal is the amount needed to pay off the loan.

---

**Final Answer Summary:**  
After making two annual payments of $12,527.50 each, the remaining principal balance is $32,262.80. This is the payoff amount required to fully settle the loan after two payments under the amortized loan option.

✨ VIPSolutions

Question:

Final Answer:

📢 Instructions:

Study Help, Fast Answers

✨ VIPSolutions

Question:

Final Answer:

📢 Instructions:

Related Answers

Study Help, Fast Answers