In: Finance
You borrow $1,600 at 6% (SA) and owe $2,026.83. What is the term of the loan? Round the answer to n to a whole (i.e. n = 13.999 = 14, n= 4.00005 = 4) - do this before you convert to years and months. Answer in Years and Months (if years or months are zero, place 0).
- Future value of amount you woe = $2026.83
Borrowed Loan amount = $1600
Calculating the term of the loan:-
where, r= Interest rate = 6%
m = no of times compounding in a year = 2
n = no of years
1.26676875 = (1+0.03)^(2n)
Taking Log on both sides,
Log(1.26676875) = 2n*Log(1.03)
0.1026973412 = 2n*0.0128372247
8.00 = 2n
n = 4 years
So, the term of the loan is 4 years and 0 months