I need these four questions answered with explanations using the BAII Plus Calcu

Question

I need these four questions answered with explanations using the BAII Plus Calculator steps please.

1. Suppose that you have just borrowed $250,000 in the form of a 30 year mortgage. The loan has an annual interest rate of 9% with monthly payments and monthly compounding. a. What will your monthly payment be for this loan? b. What will the balance on this loan be at the end of the 13th year? c. How much interest will you pay in the 6th year of this loan? d. How much of the 224th payment will consist of principal?

2. Suppose that you are considering a loan in which you will borrow $275,000 using a 30-year loan. The loan has an annual interest rate of 15% with monthly payments and monthly compounding. Suppose also that the lender is charging you a 0.75% origination fee, you are paying 3 points in order to get the 15% interest rate, and the loan has $675 in third-party closing costs associated with it. a. What will the effective borrowing cost be for this loan if you make all of the scheduled payment? b. What will the lender’s yield be for this loan if you make all of the scheduled payments? c. What will the effective borrowing cost be for this loan if you pay off the loan at the end of the 4th year?

3. Suppose that you are considering taking out an adjustable-rate mortgage with the following terms: Amount borrowed: $225,000 Index rate: Prime Rate (Current value is 3.5%) Margin: 200 basis points. Periodic cap: 1.5 percentage points Lifetime cap: 5 percentage points Amortization: 25 years a. What will the initial monthly payment be for this loan? b. If the loan’s interest rate adjusts every year and the prime rate falls to 2.75% by the end of the first year, what will your payment be in the second year of the loan? c. What is the highest interest rate that the lender could charge over the life of the loan?

4. Suppose that five years ago you borrowed $300,000 using a 30-year fixed-rate mortgage with an annual interest rate of 10% with monthly payments and compounding. The interest rate on 30-year fixed-rate mortgages has fallen to 8.5% and you are wondering whether you should refinance the loan. Refinancing costs are expected to be 5% of the new loan amount. a. What is the net present value of refinancing if you make all of the scheduled payments on the new loan? b. What is the net present value of refinancing if you pay off the new loan at the end of the 3rd year? c. How many payments do you need to make on the new loan in order for refinancing to have a positive net present value?

Explanation / Answer

1. Suppose that you have just borrowed $250,000 in the form of a 30 year mortgage. The loan has an annual interest rate of 9% with monthly payments and monthly compounding. a. What will your monthly payment be for this loan? b. What will the balance on this loan be at the end of the 13th year? c. How much interest will you pay in the 6th year of this loan? d. How much of the 224th payment will consist of principal? a) Press Display Principal = Pv $250,000 250000 PV 250000 Rate = i = 9%/12 0.75% .75 I/Y 0.75 Nper = N = 30*12 360 360 N 360 Monthly Payment = PMT $2,011.56 CPT ; PMT -2011.56 b) Press Display Principal = Pv $250,000 204 N 204 Rate = i = 9%/12 0.75% .75 I/Y 0.75 Nper = N = (30*12 ) -(13*2) 204 2011.56 PMT 2011.56 Monthly Payment = PMT $2,011.56 -250000 PV -250000 Balance at end 13 year = FV $2,111,342.87 CPT ; FV 2111342.87 c) Press Display Principal = Pv $250,000 250000 PV 250000 Rate = i = 9%/12 0.75% .75 I/Y 0.75 Nper = N = 30*12 360 360 N 360 Period = 6 x 12 72 CPT ; PMT -2011.56 IPMT $1,779.44 2nd {AMORT} 2nd {CLR Work} 72 Enter 232.12 Principal 72 Enter $1,779.44 Interest d) Principal = Pv $250,000 Press Display Rate = i = 9%/12 0.75% 250000 PV 250000 Nper = N = 30*12 360 .75 I/Y 0.75 Period = 224 360 N 360 PPMT $722.7 CPT ; PMT -2011.56 2nd {AMORT} 2nd {CLR Work} 224 Enter $722.7 Principal 224 Enter $1,288.86 Interest

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