Determine present value of annuity to fund withdrawal


Determine the present value PV of annuity necessary to fund withdrawal given. (Suppose end-of-period withdrawals and compounding at same intervals as withdrawals.)

$1,200 per month for 15 years, if annuity earns 5% per year

Determine present value PV of annuity necessary to fund withdrawal given. (Suppose end-of-period withdrawals and compounding at same intervals as withdrawals.)

$1,500 per quarter for 20 years, if annuity earns 6% per year

Determine periodic withdrawals PMT for annuity given. (Suppose end-of-period withdrawals and compounding at same intervals as withdrawals.)

$500,000 at 8%, paid out monthly for 16 years

Determine periodic withdrawals PMT for annuity given. (Suppose end-of-period withdrawals and compounding at same intervals as withdrawals.)

$450,000 at 7%, paid out monthly for 10 years

Find periodic payments PMT on loan given.

$400,000 borrowed at 5% for ten years, with quarterly payments

Find selling price PV, per $1,000 maturity value, of bond. (Suppose twice-yearly interest payments.)

3 year, 4.385% bond, with the yield of 4.465%

While shopping for the car loan, you get following offers: Solid Savings & Loan is eager to loan you $10,000 at 5% interest for four years. Fifth Federal Bank & Trust will loan you $10,000 at 6% interest for 3 years. Both need monthly payments. You can afford to pay $250 per month. Which loan, if either, can you take?

a) Solid Savings & Loan

b) Fifth Federal Bank & Trust

c) neither loan

Meg's pension plan is the annuity with the guaranteed return of 6% per year (compounded quarterly). She will like to retire with the pension of $20,000 per quarter for 15 years. If she works 27 years before retiring, how much money should she and employer deposit every quarter?

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Mathematics: Determine present value of annuity to fund withdrawal
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