Question

1. Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.)

$40,000 in a fund paying 5% per year, with monthly payments for 5 years, if the fund contains $10,000 at the start

PMT =

2. Determine the selling price PV, per $1,000 maturity value, of the bond. (Assume twice-yearly interest payments. Do not round those payments to the nearest cent. Round your selling price PV to the nearest cent.)

20-year, 4.475% bond, with a yield of 4.485%

PV =

3. Determine the selling price PV, per $1,000 maturity value, of the bond. (Assume twice-yearly interest payments. Do not round those payments to the nearest cent. Round your final selling price to the nearest cent.)

3 year, 4.365% bond, with a yield of 4.455%

PV =

4. Meg's pension plan is an annuity with a guaranteed return of 3% per year (compounded quarterly). She would like to retire with a pension of $20,000 per quarter for 25 years. If she works 41 years before retiring, how much money must she and her employer deposit each quarter? (Round your answer to the nearest cent.)

Answer 1

a)
PV	$40,000.00
Rate = 5%/12	0.42%
Period = 5 x 12	60
FV	$10,000.00
Type	0
PMT(0.42%,60,-40000,10000)	$607.80
b)
Face Value	$1,000.00
Coupon Rate Semiannual = 4.475%/2	2.24%
Coupon payment	$22.38
Nper = 20 x 2	40
Rate = 4.485%/2	2.24%
Selling Price = PV(2.24%,40,-22.38,-1000)	$998.69
c)
Face Value	$1,000.00
Coupon Rate Semiannual = 4.365%/2	2.18%
Coupon payment	$21.82
Nper = 3 x 2	6
Rate = 4.455%/2	2.23%
Selling Price = PV(2.24%,40,-22.38,-1000)	$997.50
d)
PMT	$25,000.00
Period = 25 x 4	100
Rate = 3%/4	0.75%
PV(0.75%,100,-25000)	$1,754,365.57
FV	$1,754,365.57
Period = 41 x 4	164
Rate = 3%/4	0.75%
PMT per Quarter	$5,469.71