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jekas [21]
3 years ago
11

You want to have $28,000 saved 3 years from today in order to make a down payment on a house. To fund this, you will make deposi

ts each week from your paycheck into an account that will earn 5.18 percent compounded weekly. How much must you deposit each week
Business
2 answers:
True [87]3 years ago
7 0

Answer:

$167.26must be deposited each week

Explanation:

Given FV = $28000, n = 3 years, r = 5.8% pmt =?

Use the FV of annuity formula

FV = pmt *[(1+r)^n - 1/r]

We looking for weekly payments made for a period of 3 years

there are 52 weeks in a year

n = 53*3 = 156

r = 5.18/52 =0.0009

Substitutte in the formula

28000= pmt *[(1.0009)^156-1/0.0009]

28000 = pmt (167.40)

pmt = 28000/167.40=$167.26

scoundrel [369]3 years ago
4 0

Answer:

= $165.991

Explanation:

<em>The deposit each week can be determined using the the sinking fund formula.</em>

<em>A sinking fund is an investment plan where a fixed amount of money is deposited into an interest-yielding account to accumulate a target sum in the future.</em>

Equal deposit =  FV/ annuity factor

Annuity factor =((1+r)^(n) - 1)/r

FV = future amount, - $28,000

r - interest rate per period - 5.18%/52 <em>= 0.0996% per week.</em> <em>Remember that there are 52 weeks in a year</em>

n - number of period =  3× 52 = 156 weeks

Annuity factor =( (1 +0.099%)^(156)-1)/0.0996%

                         = 168.6835499

<em>Deposit per week</em>

<em>= </em><em> 28,000/ </em>168.683

= $165.991

FV = A × ((1+r)^(n) - 1)/r

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