A couple plans to save $530 per month for the next 6 years for a down payment on a house. If the couple can earn an APR of 8.3% in their savings/investments. How much money will they have for the down payment?
A. $49,291
B. $47,011
C. $49,774
D. $66,682
A. $49,291
Future Value of saving | = | Monthly Saving | * | Future Value of annuity of 1 | ||||
= | 530 | * | 93 | |||||
= | 49,290 | |||||||
Working: | ||||||||
Future Value of annuity of 1 | = | (((1+i)^n)-1)/i | Where, | |||||
= | (((1+0.006917)^72)-1)/0.006917 | i | = | 8.3%/12 | = | 0.006917 | ||
= | 93 | n | = | 6*12 | = | 72 |
The difference of $1 may be due to rounding off diference.
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