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To determine the appropriate discount factor(s) using tables, click here to view

ID: 2796686 • Letter: T

Question

To determine the appropriate discount factor(s) using tables, click here to view Tables I, II, III, or IV in the appendix. Alternatively, if you calculate the discount factor(s) using a formula, round to six (6) decimal places before using the factor in the problem. (Round your answers to the nearest dollar amount.)

The future value of $17,000 invested at 6 percent for 11 years.

The future value of eight annual payments of $1,400 at 7 percent interest.

The amount that must be deposited today (present value) at 8 percent to accumulate $35,000 in five years.

The annual payment on a 9-year, 8 percent, $35,000 note payable.

To determine the appropriate discount factor(s) using tables, click here to view Tables I, II, III, or IV in the appendix. Alternatively, if you calculate the discount factor(s) using a formula, round to six (6) decimal places before using the factor in the problem. (Round your answers to the nearest dollar amount.)

Explanation / Answer

a.

PV = FV/(1+r)^n

PV - Present value

FV - Future value

r - Interest rate

n - no. of periods

FV = 17000*(1+0.06)^11 = $32271.08

b.

FV of annuity = P*[((1+r)^n - 1)/r]
P - Periodic payment
r - rate per period
n - number of periods
FV of annuity = 1400*(((1+0.07)^8 - 1)/0.07) = $14363.72

C.

PV = 35000/(1+0.08)^5 = $23820.41

D.

FV of annuity

35000= P*(((1+0.08)^9 - 1)/0.08)

P = $2802.79

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