(a) What is the amount being financed?   (b) If Darrell chooses the 4-point 9% loan, what will be his total outlay in points and payments after 36 months?   (c) If Darrell chooses the 3-point 9.25% loan, what will be his total outlay in points and payments after 36 months?   (d) If Darrell chooses the 2-point 9.5% loan, what will be his total outlay in points and payments after 36 months?   (e) Of the three choices for a loan, which results in the lowest total outlay for Darrell after 36 months? __the 4-point 9% loan __the 3-point 9.25% loan    __the 2-point 9.5% loan

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The buyer of a piece of real estate is often given the option of buying down the loan. This option gives the buyer a choice of loan terms in which various combinations of interest rates and discount points are offered. The choice of how many points and what rate is optimal is often a matter of how long the buyer intends to keep the property.
Darrell Frye is planning to buy an office building at a cost of $983,000. He must pay 10% down and has a choice of financing terms. He can select from a 9% 30-year loan and pay 4 discount points, a 9.25% 30-year loan and pay 3 discount points, or a 9.5% 30-year loan and pay 2 discount points. Darrell expects to hold the building for three years and then sell it. Except for the three rate and discount point combinations, all other costs of purchasing and selling are fixed and identical. (Round your answers to the nearest cent. Use this table, if necessary.)
 
(a) What is the amount being financed?
 
(b) If Darrell chooses the 4-point 9% loan, what will be his total outlay in points and payments after 36 months?
 
(c) If Darrell chooses the 3-point 9.25% loan, what will be his total outlay in points and payments after 36 months?
 
(d) If Darrell chooses the 2-point 9.5% loan, what will be his total outlay in points and payments after 36 months?
 
(e) Of the three choices for a loan, which results in the lowest total outlay for Darrell after 36 months?
__the 4-point 9% loan
__the 3-point 9.25% loan   
__the 2-point 9.5% loan
### Monthly Payments Table for Loan Amortization

#### (Necessary to Amortize a Loan of $1,000)

This table illustrates the monthly payments required to amortize a loan of $1,000 over different periods and interest rates. Each row represents a specific annual interest rate, ranging from 3.50% to 13.00%, while each column represents different loan terms ranging from 5 years to 40 years.

| **Interest Rate (%)** | **5 Years** | **10 Years** | **15 Years** | **20 Years** | **25 Years** | **30 Years** | **35 Years** | **40 Years** |
|--------------------------|------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|
| **3.50** | 18.19 | 9.89 | 7.15 | 5.80 | 5.01 | 4.49 | 4.13 | 3.87 |
| **3.75** | 18.30 | 10.01 | 7.27 | 5.93 | 5.14 | 4.63 | 4.28 | 4.03 |
| **4.00** | 18.41 | 10.12 | 7.40 | 6.06 | 5.28 | 4.77 | 4.43 | 4.18 |
| **4.25** | 18.53 | 10.24 | 7.53 | 6.19 | 5.42 | 4.92 | 4.58 | 4.34 |
| **4.50** | 18.64 | 10.36 | 7.65 | 6.33 | 5.56 | 5.07 | 4.73 | 4.50 |
| **4.75** | 18.76 | 10.48 | 7.78 | 6.46 | 5.70 | 5.22 | 4.89 | 4.66 |
| **5.00** | 18.87 | 10.61 | 7.91 | 6.60 | 5.85 | 5.37 | 5.04 | 4.82 |
| **5.25** | 18.99 | 10.73
Transcribed Image Text:### Monthly Payments Table for Loan Amortization #### (Necessary to Amortize a Loan of $1,000) This table illustrates the monthly payments required to amortize a loan of $1,000 over different periods and interest rates. Each row represents a specific annual interest rate, ranging from 3.50% to 13.00%, while each column represents different loan terms ranging from 5 years to 40 years. | **Interest Rate (%)** | **5 Years** | **10 Years** | **15 Years** | **20 Years** | **25 Years** | **30 Years** | **35 Years** | **40 Years** | |--------------------------|------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------| | **3.50** | 18.19 | 9.89 | 7.15 | 5.80 | 5.01 | 4.49 | 4.13 | 3.87 | | **3.75** | 18.30 | 10.01 | 7.27 | 5.93 | 5.14 | 4.63 | 4.28 | 4.03 | | **4.00** | 18.41 | 10.12 | 7.40 | 6.06 | 5.28 | 4.77 | 4.43 | 4.18 | | **4.25** | 18.53 | 10.24 | 7.53 | 6.19 | 5.42 | 4.92 | 4.58 | 4.34 | | **4.50** | 18.64 | 10.36 | 7.65 | 6.33 | 5.56 | 5.07 | 4.73 | 4.50 | | **4.75** | 18.76 | 10.48 | 7.78 | 6.46 | 5.70 | 5.22 | 4.89 | 4.66 | | **5.00** | 18.87 | 10.61 | 7.91 | 6.60 | 5.85 | 5.37 | 5.04 | 4.82 | | **5.25** | 18.99 | 10.73
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