Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 12, Problem 20ECP
To determine
The Present value invested by the International Monetary Fund, at 6% interest compounded quarterly.
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Theorem 2.4 (The Hölder inequality)
Let p+q=1. If E|X|P < ∞ and E|Y| < ∞, then
.
EXY SEXY ≤ Xp Yq.
1 for all k, and set o
(ii) Let X1, X2,
that P(Xkb) =
x > 0.
Xn be independent random variables with mean 0, suppose
=
and
Var Xk. Then, for
0x) ≤2 exp-tx+121
Στ
k=1
Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that
E g(X) 0. Then,
E g(|X|)
P(|X|> x) ≤
g(x)
Chapter 12 Solutions
Practical Business Math Procedures
Ch. 12.1 - Complete the following without a table (round each...Ch. 12.1 - Prob. 2PQCh. 12.1 - Prob. 3PQCh. 12.1 - Prob. 4PQCh. 12.1 - Calculate by Table 12.2 what $1,500 compounded...Ch. 12.1 - Prob. 1EPQCh. 12.1 - Prob. 2EPQCh. 12.1 - Lionel Rodgers deposits $7,000 in Victory Bank,...Ch. 12.1 - Find the effective rate (APY) for the year:...Ch. 12.1 - Prob. 5EPQ
Ch. 12.1 - Prob. 1AHCh. 12.1 - Prob. 2AHCh. 12.1 - Prob. 3AHCh. 12.1 - Prob. 4AHCh. 12.1 - Prob. 5AHCh. 12.1 - Prob. 6AHCh. 12.1 - Prob. 7AHCh. 12.1 - Eileen Hogarty deposits $5,630 in City Bank, which...Ch. 12.1 - Prob. 9AHCh. 12.1 - Prob. 10AHCh. 12.1 - Prob. 11AHCh. 12.1 - Prob. 12AHCh. 12.1 - Prob. 13AHCh. 12.2 - Prob. 1PQCh. 12.2 - Prob. 2PQCh. 12.2 - Bill Blum needs $20,000 6 years from today to...Ch. 12.2 - Prob. 4PQCh. 12.2 - Prob. 1EPQCh. 12.2 - Prob. 2EPQCh. 12.2 - Prob. 3EPQCh. 12.2 - Prob. 4EPQCh. 12.2 - Prob. 1AHCh. 12.2 - Prob. 2AHCh. 12.2 - Prob. 3AHCh. 12.2 - Prob. 4AHCh. 12.2 - Prob. 5AHCh. 12.2 - Prob. 6AHCh. 12.2 - Prob. 7AHCh. 12.2 - Prob. 8AHCh. 12.2 - Prob. 9AHCh. 12.2 - Prob. 10AHCh. 12.2 - Prob. 11AHCh. 12.2 - Prob. 12AHCh. 12.2 - Prob. 13AHCh. 12.2 - Prob. 14AHCh. 12 - Prob. 1ECPCh. 12 - Prob. 2ECPCh. 12 - Prob. 3ECPCh. 12 - Prob. 4ECPCh. 12 - Calculate the effective rate (APY) of interest for...Ch. 12 - Prob. 6ECPCh. 12 - Prob. 7ECPCh. 12 - Prob. 8ECPCh. 12 - Prob. 9ECPCh. 12 - Prob. 10ECPCh. 12 - Prob. 11ECPCh. 12 - Prob. 12ECPCh. 12 - Lynn Ally, owner of a local Subway shop, loaned...Ch. 12 - Prob. 14ECPCh. 12 - Melvin Indecision has difficulty deciding whether...Ch. 12 - Prob. 16ECPCh. 12 - Lee Wills loaned Audrey Chin $16,000 to open Snip...Ch. 12 - Jazelle Momba wants to visit her family in...Ch. 12 - Prob. 19ECPCh. 12 - Prob. 20ECPCh. 12 - Prob. 21ECPCh. 12 - Prob. 22ECPCh. 12 - Prob. 23ECPCh. 12 - Prob. 24ECPCh. 12 - Prob. 25ECPCh. 12 - Prob. 26ECPCh. 12 - Prob. 27ECPCh. 12 - Earl Ezekiel wants to retire in San Diego when he...Ch. 12 - Jackie Rich would like to buy a $26,995 Toyota...Ch. 12 - Treasure Mountain International School in Park...Ch. 12 - Pete’s Real Estate is currently valued at $65,000....Ch. 12 - You are the financial planner for Johnson...Ch. 12 - Lorna Ray, owner of a Starbucks franchise, loaned...Ch. 12 - Joe Beary wants to attend Riverside College. Eight...Ch. 12 - Shelley Katz deposited $30,000 in a savings...Ch. 12 - Earl Miller, owner of a Papa Gino’s franchise,...Ch. 12 - Minnie Rose deposited $16,000 in Street Bank at 6%...Ch. 12 - Lou Ling, owner of Lou’s Lube, estimates that he...Ch. 12 - Bernie Long wants to retire to California when she...Ch. 12 - Jim Jones deposited $19,000 in a savings account...
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- Proof of this Theorem Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and set Var X = o². Then, for 0 0, P(X > x) ≤ e−1x+1²², P(|X|> x) ≤ 2e−x+1² 0²arrow_forwardState and prove the Morton's inequality Theorem 1.1 (Markov's inequality) Suppose that E|X|" 0, and let x > 0. Then, E|X|" P(|X|> x) ≤ x"arrow_forward(iii) If, in addition, X1, X2, ... Xn are identically distributed, then P(S|>x) ≤2 exp{-tx+nt²o}}.arrow_forward
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