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eBook A few years back, Dave and Jana bought a new home. They borrowed $230,415 at an annual fixed rate of 5.49% (15-year term) with monthly payments of $1,881.46. They just made their 25th payment, and the current balance on the loan is $208,555.87, Interest rates are at an all-time low, and Dave and Jana are thinking of refinancing to a n of-pocket costs of $2,937. The out-of-pocket costs must be paid in full at the time of refinancing Build a spreadsheet model to evaluate this offer. The Excel functión: ew 15-year faed loan. Their bank has made the folowing are: i5-year term, 3.0%, plus out PMT(rate, nper, pv, fv, type) calculates the payment for a loan based on constant payments and a constant interest rate. The arguments of this function are rate the interest rate for the loan nper the total number of payments pv present value (the amount borrowed) v w future value [the desired cash balance after the last payment ( type payment type (o - end of period, 1 eginning of the period) for example, for Dave and Janas original loan, there wis be 180 peyments 12 15-180), so we would use PMTO 0549/12, 180, 230415,0,0)-$1,881.46 Note that because payments are made monthly, the annual interest rate must be expressed as a monthly rate. Also, for payment calculations, we assume that the payment is made at the end of the month. The savings from refinancing occur over time, and therefore need to be discounted back to current dollars. The formula for converting K deollars saved t months from now to current dollars is: where r is the monthly infiation rate. Assume that r o.002 and that Dave and Jana make their payment at the end of each month Use your model to calculate the savings in current dollars associated with the refinanced loan versus staying with the original loan If required, round your answer to the nearest whole dolar amount. If your answer is negative use minus sin
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Consider all the given parameters for original loan and after refinancing in the Excel sheet as shown below 1 Home Loan Model 3 Parameters 4 Loan Amount 5 Annual Fixed Rate 6 Term in years 7 Monthly payments 8 Balance after 25th payment 9 10 Refinancing 11Term in years 12 Annual Fixed Rate 13 Out of pocket cost S2,30,415.00 5.49% 15 $1.881.46 S2,08,555.87 15 S2,937.00Now, the 15-year term is nothing but 180-month term. Suppose Dave and Jane consider refinancing, then the loan amount will be the remaining balance of the loan, that is, $208,555.87. For this, the annual fixed rate is 3%. So, use PMT function to obtain the monthly payment in case of refinanced loan. Use the following formula in cell B17: -PMT (B12/12,180, B8,0,0) Here, cell B12 contains annual rate and B8 contains the balance amount (or the new loan amount). Note that all the values have to be computed in terms of months. So, it is needed to divide the annual rate by 12 and consider 15-years as 180 months. The fourth argument in this function is expected balance after end of the period which is 0. The last argument in the function is 0 as it is considered that the payment is made at the end of every month. Since the PMT represents payouts, the value comes out to be negative. So add a minus sign to the function. The value of monthly payment of refinanced loan is $1,440.25 as shown belowB17 PMT(B12/12,B16,B8,0,0) 1 Home Loan Model 3 Parameters 4 Loan Amount 5 Annual Fixed Rate 6 Term in years 7 Monthly payments 8 Balance after 25th payment 9 10 Refinancing 11 Term in years 12 Annual Fixed Rate 13 Out of pocket cost 14 15 Model 16 Term in months 17 Monthly payment after refinancing $2,30.415.00 5.49% 15 $1,881.46 S2,08,555.87 15 S2,937.00 180 $1.440.25Since they have made 25 initial payments of the original loan, they need to pay for 180 25 155more installments for original loan. So, remain ing payment for original loan wll 1881.46x(180-25)-2,91,626.30 Similarly for the refinanced loan, it is needed to make 180 payments of $1440.25 each. So remaining payment amount is: 1440.25x180-2,62,181.74 Then the saving from refinancing will be the difference in above two values minus the out-of pocket cost of $2,937. So saving from refinancing is 2,91,626.30-2,62,181.74- $29,444,56 The above calculations have been shown in Excel in the below screenshot:1 Home Loan Model 3 Parameters 4 Loan Amount 5 Annual Fixed Rate 6 Term in years 7Monthly payments 8 Balance after 25th payment 9 10 Refinancing 11 Term n vears 12 Annual Fixed Rate 13 Out of pocket cost 14 15 Model 16 Term in months 17 Monthly pay 18 Remaining payment 19 230415 0.0549 15 1881.46 208555.87 15 0.03 2937 B11*12 =-PMT(B1212,B16.BS,0,0) ment after refinancing B7*(180-25) Remaining payment after refinancing B17 B16+B1.3 20 Saving B18-B19The output, after implementing above formulas, has been shown below:1 Home Loan Model 3 Parameters 4 Loan Amount 5 Annual Fixed Rate 6 Term in years 7Monthly payments 8 Balance after 25th payment S2,30,415.00 5.49% 15 $1,881.46 S2,08,555.87 10 Refinancing 11 Term in years 12 Annual Fixed Rate 13 Out of pocket cost 14 15 Model 16 Term in months 17 Monthly payment after refinancing 18 Remaining payment original loan 19 Remaining payment after refinancing 20 Saving 15 S2,937.00 180 $1.440.25 S2,91.626.30 S2,62,181.74 S29.444.56Since the savings occur over a period of time, it is needed to consider the inflation over the period. The inflation rate is given to be 0.002. The formula for converting K dollars saved t months from now to current dollars is: r-1 Thus the saving from refinancing in current dollars is: 29,444.506 Saving = (1+0.002) $20,591.26 180-1 The screenshot in Excel to calcuiate the savings s shown belowB22 =B20/((1+821)^(B16-1)) 1 Home Loan Model 3 Parameters 4 Loan Amount 5 Annual Fixed Rate 6 1 erm in years 7 Monthly payments 8 Balance after 25th payment 9 10 Refinancing 11 Term in years 12 Annual Fixed Rate 13 Out of pocket cost 14 15 Model 16 Term in months 17 Monthly payment after refinancing 18 Remaining payment original loan 19 Remaining payment after refinancing S2,62,181.74 20 Saving 21 Inflation rate 22 Saving from refinancing current dollarsS20.591.26 S2,30,415.00 5.49% 15 $1,881.46 S2,08,555.87 15 S2,937.00 180 $1.440.25 S2,91.626.30 S29,444.56 0.002So, if Dav current dollars

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