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This problem involves the analysis of a bond with different coupon payments and asks to calculate its price under certain conditions. Let's break it down:

### Problem Details:
1. **Bond Structure**:
   - **18 total coupons (semiannual payments)**:
     - First 4 coupons: \$4,000 (for the first two years, semiannual payments).
     - Next 6 coupons: \$5,000 (for the following three years).
     - Last 8 coupons: \$6,500 (for the remaining four years).

2. **Question (i)**:
   - The investor wants to know the price they should be willing to pay for the bond, assuming a required **TEA (Effective Annual Rate)** of **35.63%**. 
   - It is also specified that **110 days** remain before the first coupon payment is due.
   - The bond follows a **30/360 day-count convention** for calculating accrued interest.

3. **Question (ii)**:
   - The bond is being analyzed again **just before the 7th coupon**.
   - At that point, the yield to maturity (YTM) is 9% annually (likely **TES 9%**).
   - The task is to determine the price to sell the bond at that point.

### Solution Strategy:

1. **Part (i)**:
   - Calculate the **present value** (PV) of all the coupon payments discounted at the semiannual rate derived from the 35.63% TEA.
   - Adjust for accrued interest due to the **110-day delay** (using the 30/360 convention).

2. **Part (ii)**:
   - Recalculate the bond price **just before the 7th coupon** with a new required return rate of **9% TES** (assuming a semiannual rate of return).
   - No accrued interest is needed since it's evaluated right before the coupon.

### Let's begin with Part (i) first:
- To proceed with the calculation, I will calculate the required semiannual discount rate from the 35.63% TEA and then compute the bond price using discounted cash flows.

Allow me a moment to set up the calculations.### Part (i) Calculations:

- **Semiannual Rate**: $ 16.46\% $ (derived from the TEA of 35.63%).
- **Present Value of Coupons**: The total present value (PV) of all the coupon payments, discounted at the semiannual rate, is approximately **\$27,046.41**.
- **Accrued Interest**: Given 110 days before the first coupon and using the 30/360 day-count convention, the accrued interest is about **\$2,444.44**.
- **Price with Accrued Interest**: The bond price after adjusting for accrued interest is approximately **\$24,601.97**.

Now, let's proceed with **Part (ii)**, where the bond price needs to be calculated just before the 7th coupon using a **9% TES**.

Let me calculate that next.

Se está analizando la compra de un bono que permitirá cobrar un total de dieciocho cupones semestrales. Cuatro cupones semestrales de $4000 durante los dos primeros años, seis cupones semestrales de $5000 durante los siguientes tres años y ocho cupones semestrales de $6500 durante los últimos cuatro años. i) ¿Cuál es el precio que estaría dispuesto a pagar por dicho bono si se desea obtener una tasa de rendimiento del 35,63% TEA y en el momento que se está analizando la situación faltan 110 días para el cobro del primer cupón? ii) Suponga que recibe una nueva propuesta para comprar el bono momentos antes del cobro del 7mo cupón. En ese momento la tasa de rendimiento de los bonos es una TES del 9% anual. ¿Cuál sería el precio al que debiera vender el Bono? Utilice modalidad de conteo 30/360 días.

Learn how to calculate the price of a bond with multiple coupon payments using the TEA of 35.63% and yield to maturity adjustments. This detailed analysis covers discounted cash flow, accrued interest, and semiannual rate conversion with practical examples.

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