If a borrower can afford to make monthly principal and interest payments of 1000 and the lender will make a 30 year loan at 5 1/2%, or a 20 year loan at 4 1/2% what is the largest loan this buyer can afford

The the largest loan this buyer can afford is 14,533.75.

Explanation:

This can be determined using the formula for calculating the present value of an ordinary annuity as follows:

Step 1: Calculations of the present value or the loan the buyer can afford for a 30 year loan at 5 1/2%

PV30 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV30 = Present value or the loan the buyer can afford for a 30 year loan at 5 1/2% =?

P = monthly payment = 1000

r = interest rate = 5 1/2% = 5.50% = 0.055

n = number of years = 30

Substitute the values into equation (1) to have:

PV30 = 1000 * ((1 - (1 / (1 + 0.055))^30) / 0.055)

PV30 = 1000 * 14.5337451711221

PV30 = 14,533.75

Step 2: Calculation of the present value or the loan the buyer can afford for a 20 year loan at 4 1/2%

PV20 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)

Where;

PV30 = Present value or the loan the buyer can afford for a 20 year loan at 4 1/2% =?

P = monthly payment = 1000

r = interest rate = 4 1/2% = 4.50% = 0.045

n = number of years = 20

Substitute the values into equation (1) to have:

PV20 = 1000 * ((1 - (1 / (1 + 0.045))^20) / 0.045)

PV20 = 1000 * 13.0079364514537

PV20 = 13,007.94

Conclusion

Since 14,533.75 which is the present value or the loan the buyer can afford for a 30 year loan at 5 1/2% is greater than the 13,007.94 which is the present value or the loan the buyer can afford for a 20 year loan at 4 1/2%, it therefore implies that the the largest loan this buyer can afford is 14,533.75.

the answer is: c.that person might be arrested and deported

filling w-4 form incorrectly usually would rise suspicions from government's auditors. when they notice such mistakes, they would send their teams to investigate the situation further.

if those investigation teams believe that the incorrectness is done on purpose (with malicious intent), that person can be arrested or deported

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