In: Finance
2. You just took a $315,000, 30-year loan. Payments at the end of each month are flat (equal in every month) at an annual interest rate of 3.75 percent.
a)Calculate the monthly payment.
b)Provide the appropriate loan table, showing the breakdown in each month between principal repayment and interest.
(PLEASE SHOW STEP-BY-STEP EXCEL FORMULA WITH FUNCTIONS)
Annual interest rate = | 3.75% | ||||
Years | 30 | ||||
No. of payments in a year | 12 | ||||
Total no. of periods30*12= | 360 | ||||
Amount | 315000 | ||||
Formula for monthly payment = PMT(rate per period, no. of periods, amount of loan) |
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PMT(0.0375/12,360,315000) |
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Formula for principal payment= PPMT(rate per period, period number, no. of periods, amount of loan) |
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PPMT(0.0375/12,F22,360,315000) |
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Formula for interest payment = IPMT(rate per period, period number, no. of periods, amount of loan) |
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IPMT(0.0375/12,F22,360,315000) |
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Balance formula = Amount of loan -Principal payment |
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Payment number | Cell refernce no. | Payment | Principal | Interest | Balance |
1 | F22 | -$1,458.81 | -$474.44 | -$984.38 | $314,525.56 |
2 | F23 | -$1,458.81 | -$475.92 | -$982.89 | $314,049.64 |
3 | F24 | -$1,458.81 | -$477.41 | -$981.41 | $313,572.23 |
4 | F25 | -$1,458.81 | -$478.90 | -$979.91 | $313,093.33 |
5 | F26 | -$1,458.81 | -$480.40 | -$978.42 | $312,612.93 |
6 | F27 | -$1,458.81 | -$481.90 | -$976.92 | $312,131.03 |
7 | F28 | -$1,458.81 | -$483.40 | -$975.41 | $311,647.63 |
8 | F29 | -$1,458.81 | -$484.92 | -$973.90 | $311,162.71 |
9 | F30 | -$1,458.81 | -$486.43 | -$972.38 | $310,676.28 |
10 | F31 | -$1,458.81 | -$487.95 | -$970.86 | $310,188.33 |
11 | F32 | -$1,458.81 | -$489.48 | -$969.34 | $309,698.86 |
12 | F33 | -$1,458.81 | -$491.01 | -$967.81 | $309,207.85 |
So, monthly payment is $1,458.81.
and loan table is abovementioned.