How much does one extra point cost on a van loan? In MT217 Unit 5 terms, 2,756.64 dollars, worked beside a lease paid in advance and a sinking fund. Searches like "mt 217 unit 5 assignment example", "mt217 unit 5 sample" and "mt217 unit 5 example" land here.
What a finished MT217 Unit 5 annuity calculation looks like
Four worked problems on about four pages. The van loan of 96,000 dollars over 60 months at 7.5 percent carries a payment of 1,923.64 and 19,418.58 in total interest. At 8.5 percent the payment is 1,969.59, only 45.94 more a month but 2,756.64 over the loan. Stretching the loan to 72 months at 7.5 percent lowers the payment to 1,659.85 while raising interest to 23,509.26. A diagnostic-equipment lease of 1,450 a month for 36 months, paid at the start of each month, is worth 46,905.81 today, against 46,614.47 if paid at the end. Saving 30,000 for a compressor in four years at 4.2 percent takes deposits of 575.06 a month. The first loan month splits into 600.00 of interest and 1,323.64 of principal.
How a MT217 Unit 5 example is structured
Each problem opens by naming its annuity type, ordinary, due or a sinking fund building toward a future sum, and why that type fits, because choosing the wrong one is the error most of these problems turn on. Given values follow with the monthly rate and the count of months stated explicitly, the annual rate divided by twelve and the years multiplied by twelve. The formula is written, filled in and solved. Results are compared rather than left alone: two rates side by side, two terms side by side, due against ordinary. A single amortization line for the first month shows how the payment divides between interest and principal. A brief final paragraph says what the contractor learns, that the term matters more than the rate for total interest here.
Type named before any math
Each problem states whether payments fall at the end or the start of a period, or build toward a future sum, and gives the reason.
Monthly rate, monthly count
The annual rates become 0.625 and about 0.708 percent a month and the terms become 60 and 72 payments before any formula is used.
One point, priced
An extra percentage point adds 45.94 a month and 2,756.64 over five years, small on any single statement and noticeable in total.
Longer term, larger bill
Seventy-two months cut the payment by 263.79 but add 4,090.68 of interest, more than the extra point costs over the shorter loan.
Paying at the start
The lease valued as an annuity due is worth 291.34 more than the same payments at month end, one month's interest on the stream.
Where marks go in MT217 Unit 5
A monthly loan solved with the annual 7.5 percent, as though sixty payments were sixty years, yields a payment wildly off, and the size of the error gives the cause away. Treating a lease paid in advance as an ordinary annuity understates its value by a month's interest. Reporting a payment without the total interest misses the question most of these problems ask. Comparisons of two loans that change the rate and the term at once, without separating the effects, leave the reader unable to say which mattered. Sinking-fund problems solved with the present value formula instead of the future value one are a common reversal. Answers without an interpretive sentence lose the credit many sections reserve for meaning, however clean the arithmetic above them.
Get a MT217 Unit 5 example written to your instructions
Paste in the Unit 5 problems as assigned and the rubric, noting whether your section expects formulas, calculator entries or spreadsheet functions. Solutions name each annuity type, state the monthly rate and period count, and compare results wherever the prompt allows. That opening sample is on the house, usually within 24-48h.
MT217 Unit 5 questions, answered
How do I know whether a problem is an annuity due?
Look at when the first payment happens. If it falls today, at the start of the first period, as rent and most leases do, it is an annuity due. If it falls at the end of the first period, as loan payments usually do, it is ordinary. The sample names the type in the first line of every problem so the choice is visible.
Why does a longer loan cost more if the payment is lower?
Because the balance stays outstanding longer and accrues interest for more months. In the sample, 72 payments of 1,659.85 total 119,509.26 against 115,418.58 for 60 payments, even at the same rate. A lower payment helps monthly cash flow, and the paper notes that benefit, but the total cost rises by more than a full point of interest would add.
Can I use the PMT function in Excel?
Usually, and many sections encourage it. Keep the rate and the number of periods monthly inside the function, and show the arguments rather than only the result. The sample writes out the formula for each problem and would note the equivalent function as a check. If your instructor wants the work by hand, the custom version shows every step.