Answer:
a-1) Pv = 52549
a-2) Pv = 56822
b-1) Fv = 77570
b-2 Fv = 83878
Explanation:
b-1) Future value:
S= Sum of amount of annuity=?
n=number of fixed periods=5 years
R=Fixed regular payments=13200
i=Compound interest rate= .081 (suppose annualy)
we know that ordinary annuity:
S= R [(1+i)∧n-1)]/i
= 13200[(1+.081)∧5-1]/.081
=13200(1.476-1)/.081
= 13200 * 5.8765
S = 77570
a.1)Present value of ordinary annuity:
Formula: Present value = C* [(1-(1+i)∧-n)]/i
=13200 * [(1-(1+.081)∧-5]/.081
=13200 * (1-.6774)/.081
=13200 * (.3225/.081)
=52549
a.2)Present value of ordinary Due:
Formula : Present value = C * [(1-(1+i)∧-n)]/i * (1+i)
= 13200 * [(1- (1+.081)∧-5)/.081 * (1+.081)
= 13200 * 3.9822 * 1.081
= 56822
b-2) Future value=?
we know that: S= R [(1+i)∧n+1)-1]/i ] -R
= 13200[ [ (1+.081)∧ 5+1 ]-1/.081] - 13200
= 13200 (.5957/.081) -13200
= (13200 * 7.3544)-13200
= 97078 - 13200
= 83878
Answer:
A) $790.63
B) $718.75
C) $503.13
Explanation:
a. Interest rate = 10%, monthly rate = 10%/12 = 0.10/12
Number of years = 60-20 = 40 years = 40*12 = 480 months
Goal = FV = 5,000,000
The monthly savings needed if employers offers no match =PMT(rate,nper,pv,fv) =PMT(0.10/12,480,0,5000000)
= $790.63
b. If employer offers a 10% match.
Then monthly savings needed
= 790.63/1.10
= 718.75
Monthly savings needed with 10% match by employer
= $718.75
c. Tax savings are 24%+6% = 30%.
So on the contribution of 718.75, you save a 30% tax. So. tax savings = 718.75*0.30 = $ 215.63
So, monthly contribution taking into account tax savings and employer match
= 718.75 -215.62
= $503.13
Depending on the company you work for, the line between part-time and full-time employment can be different. Most companies will require full-timeemployees to work somewherebetween 32 and 40 hours per week. This number is important, because it tells you how many hours you're guaranteed on a weekly basis
