Interest rate quiz four questions due in 3hours
Examples 1&2
| Example 1: Graduated Payment Mortgage | ||||||||||||
| Loan: | 50,000 | |||||||||||
| Term: | 3 | year | ||||||||||
| Interest | 10% | annually | ||||||||||
| Payment | 30,881.67 | annually | ||||||||||
| Year | Beg Bal | Pmt factor | Payment | Interest | Principal | End bal. | factor | |||||
| 0 | 50,000.00 | 1.6190833959 | 49500 | 10000 | 49500 | |||||||
| 1 | 50,000.00 | 50% | 15,440.84 | 5,000.00 | 10,440.84 | 39,559.16 | 0.4545454545 | -55,000.00 | -55,000.00 | -24,644.62 | ||
| 2 | 39,559.16 | 50% | 15,440.84 | 3,955.92 | 11,484.92 | 28,074.25 | 0.4132231405 | |||||
| 3 | 28,074.25 | 100% | 30,881.67 | 2,807.42 | 28,074.25 | 0.00 | 0.7513148009 | |||||
| 11.11% | 450.00% | 10.56% | ||||||||||
| Example 2: Graduated Payment Mortgage | ||||||||||||
| Loan: | 50,000 | |||||||||||
| Term: | 3 | year | ||||||||||
| Interest | 10% | annually | PMT Growth | 25% | ||||||||
| Payment | 16,045.81 | annually | ||||||||||
| Year | Beg Bal | Growth factor | Payment | Interest | Principal | End bal. | factor | |||||
| 0 | 50,000.00 | 3.1160781367 | ||||||||||
| 1 | 50,000.00 | 100% | 16,045.81 | 5,000.00 | 11,045.81 | 38,954.19 | 0.9090909091 | |||||
| 2 | 38,954.19 | 125% | 20,057.26 | 3,895.42 | 16,161.84 | 22,792.34 | 1.0330578512 | |||||
| 3 | 22,792.34 | 156% | 25,071.58 | 2,279.23 | 22,792.34 | 0.00 | 1.1739293764 |
Exercise 1
| Exercise 1 | ||||||||
| Loan: | 120,000 | |||||||
| Term: | 10 | year | ||||||
| Interest | 10.0% | annually | ||||||
| Payment | 26,546.99 | annually | ||||||
| Year | Beg Bal | Pmt factor | Payment | Interest | Principal | End bal. | factor | |
| 0 | 120,000.00 | 4.5202865983 | ||||||
| 1 | 120,000.00 | 30% | 7,964.10 | 12,000.00 | -4,035.90 | 124,035.90 | 0.2727272727 | |
| 2 | 124,035.90 | 45% | 11,946.15 | 12,403.59 | -457.45 | 124,493.35 | 0.3719008264 | |
| 3 | 124,493.35 | 60% | 15,928.19 | 12,449.33 | 3,478.86 | 121,014.49 | 0.4507888805 | |
| 4 | 121,014.49 | 75% | 19,910.24 | 12,101.45 | 7,808.79 | 113,205.70 | 0.5122600915 | |
| 5 | 113,205.70 | 90% | 23,892.29 | 11,320.57 | 12,571.72 | 100,633.98 | 0.5588291908 | |
| 6 | 100,633.98 | 100% | 26,546.99 | 10,063.40 | 16,483.59 | 84,150.38 | 0.5644739301 | |
| 7 | 84,150.38 | 100% | 26,546.99 | 8,415.04 | 18,131.95 | 66,018.43 | 0.5131581182 | |
| 8 | 66,018.43 | 100% | 26,546.99 | 6,601.84 | 19,945.15 | 46,073.29 | 0.4665073802 | |
| 9 | 46,073.29 | 100% | 26,546.99 | 4,607.33 | 21,939.66 | 24,133.63 | 0.4240976184 | |
| 10 | 24,133.63 | 100% | 26,546.99 | 2,413.36 | 24,133.63 | -0.00 | 0.3855432894 | |
Exercise 2
| Exercise 2: Graudated Payment Mortgage | ||||||||
| Loan: | 120,000 | |||||||
| Term: | 10 | year | PMT Growth | 10% | ||||
| Interest | 10.0% | annually | ||||||
| Payment | 14,394.98 | annually | ||||||
| Year | Beg Bal | Growth factor | Payment | Interest | Principal | End bal. | factor | |
| 0 | 120,000.00 | 8.3362413149 | ||||||
| 1 | 120,000.00 | 1.00000 | 14,394.98 | 12,000.00 | 2,394.98 | 117,605.02 | 0.9090909091 | |
| 2 | 117,605.02 | 1.10000 | 15,834.47 | 11,760.50 | 4,073.97 | 113,531.05 | 0.9090909091 | |
| 3 | 113,531.05 | 1.21000 | 17,417.92 | 11,353.11 | 6,064.82 | 107,466.23 | 0.9090909091 | |
| 4 | 107,466.23 | 1.33100 | 19,159.71 | 10,746.62 | 8,413.09 | 99,053.14 | 0.9090909091 | |
| 5 | 99,053.14 | 1.46410 | 21,075.69 | 9,905.31 | 11,170.37 | 87,882.77 | 0.9090909091 | |
| 6 | 87,882.77 | 1.61051 | 23,183.25 | 8,788.28 | 14,394.98 | 73,487.80 | 0.9090909091 | |
| 7 | 73,487.80 | 1.61051 | 23,183.25 | 7,348.78 | 15,834.47 | 57,653.32 | 0.826446281 | |
| 8 | 57,653.32 | 1.61051 | 23,183.25 | 5,765.33 | 17,417.92 | 40,235.40 | 0.7513148009 | |
| 9 | 40,235.40 | 1.61051 | 23,183.25 | 4,023.54 | 19,159.71 | 21,075.69 | 0.6830134554 | |
| 10 | 21,075.69 | 1.61051 | 23,183.25 | 2,107.57 | 21,075.69 | -0.00 | 0.6209213231 | |