Construct the amortization schedule for a ​$16,000.00 debt that is to be amortized in 12 equal semiannual payments at 5.5​% interest per​ half-year on the unpaid balance.

First we need the payment

paym(1 - 1.055^-12)/.055 = 16000
paym = 1856.47

Made up a short Excel routine, too bad the columns don't line up nicely on here
off by 4 cents due to round-off of payment.

time paym int repay bal
0 0 0 0 16000
1 1856.47 880.00 976.47 15023.53
2 1856.47 826.29 1030.18 13993.35
3 1856.47 769.63 1086.84 12906.52
4 1856.47 709.86 1146.61 11759.91
5 1856.47 646.79 1209.68 10550.23
6 1856.47 580.26 1276.21 9274.02
7 1856.47 510.07 1346.40 7927.63
8 1856.47 436.02 1420.45 6507.18
9 1856.47 357.89 1498.58 5008.60
10 1856.47 275.47 1581.00 3427.60
11 1856.47 188.52 1667.95 1759.65
12 1856.47 96.78 1759.69 -0.04

To construct an amortization schedule for a $16,000.00 debt that is to be amortized in 12 equal semiannual payments at 5.5% interest per half-year on the unpaid balance, follow these steps:

Step 1: Calculate the semiannual interest rate. Divide the annual interest rate by 2, since there are two semiannual periods in a year. In this case, the semiannual interest rate is 5.5% / 2 = 2.75%.

Step 2: Calculate the semiannual payment amount. Divide the total debt by the number of payments. In this case, the semiannual payment amount is $16,000.00 / 12 = $1,333.33.

Step 3: Create a table to track the amortization schedule. Include the columns: Payment Number, Payment Amount, Interest Paid, Principal Paid, and Remaining Balance.

Step 4: In the first row of the table, fill in the information for the initial payment (Payment Number 1). The Payment Amount is $1,333.33, the Interest Paid is the Remaining Balance from the previous period multiplied by the semiannual interest rate, and the Principal Paid is the Payment Amount minus the Interest Paid. The Remaining Balance is the initial debt of $16,000.00 minus the Principal Paid.

Step 5: Repeat step 4 for each subsequent payment, adjusting the Remaining Balance each time.

Step 6: Continue entering the information until all 12 payments have been accounted for.

Here is an example of what the amortization schedule might look like:

| Payment Number | Payment Amount | Interest Paid | Principal Paid | Remaining Balance |
|----------------|----------------|---------------|----------------|------------------|
| 1 | $1,333.33 | $220.00 | $1,113.33 | $14,886.67 |
| 2 | $1,333.33 | $206.05 | $1,127.28 | $13,759.39 |
| 3 | $1,333.33 | $190.99 | $1,142.34 | $12,617.05 |
| 4 | $1,333.33 | $174.10 | $1,159.23 | $11,457.82 |
| 5 | $1,333.33 | $155.91 | $1,177.42 | $10,280.40 |
| 6 | $1,333.33 | $136.00 | $1,197.33 | $9,083.07 |
| 7 | $1,333.33 | $114.05 | $1,219.28 | $7,863.79 |
| 8 | $1,333.33 | $89.71 | $1,243.62 | $6,620.17 |
| 9 | $1,333.33 | $62.58 | $1,270.75 | $5,349.42 |
| 10 | $1,333.33 | $32.25 | $1,301.08 | $4,048.34 |
| 11 | $1,333.33 | $670 | $663.33 | $3,384.01 |
| 12 | $1,333.33 | $0.00 | $1,333.33 | $0.00 |

Note: The interest paid and principal paid calculations are rounded to two decimal places for simplicity.

To construct the amortization schedule for a debt, you need to calculate the equal semiannual payment amount, the interest paid each period, and the remaining balance after each payment. Here's how you can do it:

Step 1: Calculate the semiannual interest rate
The annual interest rate is given as 5.5%. To find the semiannual interest rate, divide it by 2:
Semiannual interest rate = Annual interest rate / 2 = 5.5% / 2 = 2.75%

Step 2: Calculate the semiannual payment amount
To find the payment amount, you can use the formula for the present value of an annuity. The formula is:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:
P = Semiannual Payment
r = Semiannual interest rate
PV = Present value of the debt (in this case, $16,000)
n = Total number of semiannual payments (in this case, 12)

Using the given values, you can plug them into the formula to find the semiannual payment amount.

Step 3: Calculate the interest paid each period and the remaining balance
For each semiannual payment, you will calculate the interest paid and the remaining balance. Here's how to do it:
- Calculate the interest paid during each period by multiplying the remaining balance by the semiannual interest rate.
- Subtract the interest paid from the semiannual payment to find the principal paid.
- Subtract the principal paid from the remaining balance to get the new balance for each period.

Repeat this process for each semiannual payment until you reach the final payment.

After performing these calculations, you will have each period's payment amount, interest paid, and remaining balance. This information will allow you to construct the amortization schedule for the $16,000 debt.