Answer:
with the new rate we will pay in 58 months.
if there is 2% commision charge: 59.35 = 60 months
Explanation:
Currently we owe 10,000
This will be transfer to a new credit card with a rate of 6.2%
We are going to do monthly payment of 200 dollars each month
and we need to know the time it will take to pay the loan:
We use the formula for ordinary annuity and solve for time:
C $200.00
time n
rate 0.005166667 (6.2% rate divide into 12 months)
PV $10,000.0000
We arrenge the formula and solve as muhc as we can:
Now, we use logarithmics properties to solve for time:
-57.99227477 = 58 months
part B
If there is a charge of 2% then Principal = 10,000 x 102% = 10,200
we use that in the formula and solve:
-59.34880001 = 59.35 months