In: Finance
#1) On June 1, you borrowed $195,000 to buy a house. The mortgage rate is 5.20 percent. The loan is to be repaid in equal monthly payments over 15 years. How much of the first payment applies to the principal balance? $714.43 $722.50 $717.51 $756.70 $658.56
#13) You want to borrow $34,800 and can afford monthly payments of $960 for 48 months, but no more. Assume monthly compounding. What is the highest APR rate you can afford?
13.18 percent
14.52 percent
9.24 percent
13.67 percent
14.82 percent
1) | $717.51 | |||||
Working: | ||||||
Monthly repayment | = | =pmt(rate,nper,-pv) | ||||
= | $ 1,562.44 | |||||
Where, | ||||||
rate | 5.20%/12 | = | 0.0043333 | |||
nper | 15*12 | = | 180 | |||
pv | = | $ 1,95,000 | ||||
Interest expense | = | Loan amount * Monthly interest rate | ||||
= | $ 1,95,000 | * | 0.0043333 | |||
= | $ 845.00 | |||||
First month payment applied to principal balance | = | Monthly repayment | - | Interest expense | ||
= | $ 1,562.44 | - | $ 845.00 | |||
= | $ 717.44 | |||||
Difference of $ 0.07 is due to rounding off difference. | ||||||
2) | 14.52% | |||||
Working: | ||||||
APR | = | =rate(nper,pmt,-pv)*12 | ||||
= | 14.52% | |||||
Where, | ||||||
nper | 48 | |||||
pmt | $ 960 | |||||
pv | $ 34,800 |