Posted by susie on Wednesday, March 17, 2010 at 6:39pm.
if you wanted to save $ 50,000 to have it available in 20years provided the investment would return an APR of 12% compounded monthly.
a. how much would you need to have at the beggining (lump sum) in order to achieve the mark of $50,000.
b. how much would you have to save every year for 20 years?
c. how much would you have to save for the first 10years and nothing more?
- personal finance - drwls, Wednesday, March 17, 2010 at 7:41pm
For (a), solve the compound growth formula
X*(1.12)^20 = 50,000
X wil be the answer
For (b), use the calculation tool at
I get 619.59 per year
For (c), first calculate how much you need after 10 years to reach 50,000 with compound interest, without contributing for the last 10 years. Then use the computation tool of (b) to determine how much you must save per year for the first 10 years
- personal finance - Reiny, Wednesday, March 17, 2010 at 7:49pm
a) amount = princ(1+i)^n
50000 = princ(1.01)^240
princ = 4590.29
b) amount = payment((1 + i)^n -1)/i
50000 = payment(1.01^240 - 1)/.01
payment = 50.54 per month.
c) so you are depositing every month for 10 years, then letting it "ride" for the next 10 years ?
50000 = [payment(1.01^120 - 1)/.01](1.01^120
50000 = payment(230.0386895)(3.300386895)
payment = 65.56
- personal finance - drwls, Wednesday, March 17, 2010 at 11:43pm
I didn't read the problem carefully, and assumed interest compounded annually.
Kudos to Reiny for doing it right, and knowing the formula for (b).
Answer This Question
More Related Questions
- finance - You have found three investment choices for a one year deposit: 10% ...
- matttth help please - 1. Mike wants to invest money every month for 40 years. ...
- Finance - Annuities - You have just graduated from the MBA program and to reward...
- Math - If you finance $50,000 of the purchase of your new home at 4.40% ...
- Personal Finance - What is the present value of an investment that will be worth...
- Math - I really need some help with this one. Envision that you have served as ...
- finance (saving for $1,000,000) - At age 5, how much would you have to save per ...
- finance - You want to save $1,000,000 for your retirement (under 40 years old) ...
- finance - Under normal conditions (70% probability), Financing Plan A will ...
- Math Personal Finance - Assume an investment of $7000 earns an APR (Annual ...