Jill borrows $300,000 for 10 years at a fixed interest rate of i % p.a (EAR). If the loan is repaid in 10 equal year-end payments over the 10 years, the amount of the loan outstanding at the end of the 5th year will be:
Select one:
a. Less than $150,000
b. Greater than $150,000
c. Equal to $150,000
Can someone explain to me how this is even possible without knowing i or the amounts repayed?
A
Are u srs?
>10 equal year-end payments from 300.000, there you got the amount repayed
IQ 80 confiremd
Jill should buy the dip
B... take into account the interest p.a
>>3487324
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>>3487386
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>end of the 5th year will be
wow its actually a trick question. im sorry for making this thread i should have just read the whole thing before jumping to conclusions
>>3487410
thanks anyway
final amount to pay is 300k + interest:
300.000 * (1 + i)^10
for i > 0 final amount is obviously 300.000 + x
now equal payrates every year you pay
(300.000+x) / 10, x>0
because they are equal, at the end of the fifth year you have paid half of final amount:
5 * (300.000 + x)/10 = (300.000 + x) / 2 = 150.000 + x / 2 > 150.000
this is what you payed after the fifth year and it equals the amount you have still to pay. therefore its greater than 150k
>>3487324
try different numbers for i
you will notice answer b will always be right