The attached excel file, Econ HW.xlsx
, is where you are to do your Economics
homework. It contains your instructions. The exercises, sometimes called problems, that
you are to solve are listed here.
* Problems pp. 99 ff: 3-2, 3-3, 3-20, 3-21, 3-26, 3-27, 3-32
Do your work in the Excel file and submit it to this assignment. Be sure to state which
week’s assignment it is and name each exercise.
Chapter 3
3-5
a) $1,500,000 = P(1+0.1*2) = 1.2P P = $1,500,000/1.2 = $1,250,000
b) $1,500,000 = P(1+0.1)2 = $1,500,000 (1.210)
P = $1,500,000/1.210 = $1,239,669
3-6
a)
P = P + P*i*n
2 = 1 + 0.03*n
n = 1/0.03 = 33.3 years
b)
2P = P(1+ 0.03)n
2 = 1.03n
ln(2) = n*ln(1.03)
n = ln(2)/ln(1.03) = 23.45 years
3-10
a) Interest Rates
i. Interest rate for the past year = ($100 – $90)/$90 = $10/$90
= 0.111 or 11.1%
ii. Interest rate for the next year = ($110 – $100)/$1
= 0.10 or 10%
b) $90 (F/P, i%, 2) = $110
(F/P, i%, 2) = (1 + i)2= $110/$90= 1.222
(1+i) = sqrt(1.222) = 1.1054
i= 1.1054 – 1 = 0.1054 = 10.54%
3-20
Use 6000 = 5000 (F/P, i, n) = 5000 (1 + i)n.
a) n = 2, 𝑖𝑖 = √1.2 − 1 = 0.0954 or 9.54%
3
b) n = 3, 𝑖𝑖 = √1.2 − 1 = 0.0627 or 6.27%
5
c) n = 5, 𝑖𝑖 = √1.2 − 1 = 0.0371 or 3.71%
10
d) n = 10, 𝑖𝑖 = √1.2 − 1 = 0.0184 or 1.84%
3-29
Calculator Solution
1% per month F = $1,000 (1 + 0.01)12 = $1,126.83
12% per year F = $1,000 (1 + 0.12)1 = $1,120.00
Savings in interest = $6.83
Compound interest table solution
1% per month F = $1,000 (1.127) = $1,127.00
12% per year F = $1,000 (1.120) = $1,120.00
Savings in interest = $7.00
3-37
F16 = $10,000 (1 + 0.025/4)16
= $11,048.27
F40 = $11,048.27 (1 + 0.035/4)24
= $13,617.56
3-40
Effective Interest Rate = (1 + i)m − 1 = (1 + 0.09/4)4 − 1 = 0.0931= 9.31%
3-44
Effective interest rate = (1 + r/m)m − 1
.161 = (1 + r/12)12 - 1
(1 + r/12) = 1.1610.0833 = 1.0125
r/12 = .0125
r = 12(0.0125) = 15.0%
3-59
a) 11.98% compounded continuously
F = $10,000 e(0.1198)(4)
= $16,147.82
b) 12% compounded daily
F = $10,000 (1 + 0.12/365)365*4
= $16,159.47
c) 12.01% compounded monthly
F = $10,000 (1 + 0.1201/12)12*4
= $16,128.65
d) 12.02% compounded quarterly
F = $10,000 (1 + 0.1202/4)4*4
= $16,059.53
e) 12.03% compounded yearly
F = $10,000 (1 + 0.1203)4
= $15,752.06
Decision: Choose Alternative (b)
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