
Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Question
Chapter 2.1, Problem 21SE
To determine
The lowest term fraction for the fraction
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Chapter 2 Solutions
Business Math (11th Edition)
Ch. 2.1 - Prob. 1-1SCCh. 2.1 - Prob. 1-2SCCh. 2.1 - Prob. 1-3SCCh. 2.1 - Prob. 1-4SCCh. 2.1 - Prob. 1-5SCCh. 2.1 - Prob. 1-6SCCh. 2.1 - Prob. 2-1SCCh. 2.1 - Prob. 2-2SCCh. 2.1 - Prob. 2-3SCCh. 2.1 - Prob. 2-4SC
Ch. 2.1 - Prob. 2-5SCCh. 2.1 - Prob. 3-1SCCh. 2.1 - Prob. 3-2SCCh. 2.1 - Prob. 3-3SCCh. 2.1 - Prob. 3-4SCCh. 2.1 - Prob. 3-5SCCh. 2.1 - Prob. 4-1SCCh. 2.1 - Prob. 4-2SCCh. 2.1 - Prob. 4-3SCCh. 2.1 - Prob. 4-4SCCh. 2.1 - Prob. 4-5SCCh. 2.1 - Prob. 4-6SCCh. 2.1 - Prob. 4-7SCCh. 2.1 - Prob. 4-8SCCh. 2.1 - Prob. 5-1SCCh. 2.1 - Prob. 5-2SCCh. 2.1 - Prob. 5-3SCCh. 2.1 - Prob. 5-4SCCh. 2.1 - Prob. 5-5SCCh. 2.1 - Prob. 5-6SCCh. 2.1 - Prob. 1SECh. 2.1 - Prob. 2SECh. 2.1 - Prob. 3SECh. 2.1 - Prob. 4SECh. 2.1 - Prob. 5SECh. 2.1 - Prob. 6SECh. 2.1 - Prob. 7SECh. 2.1 - Prob. 8SECh. 2.1 - Prob. 9SECh. 2.1 - Prob. 10SECh. 2.1 - Prob. 11SECh. 2.1 - Prob. 12SECh. 2.1 - Prob. 13SECh. 2.1 - Prob. 14SECh. 2.1 - Prob. 15SECh. 2.1 - Prob. 16SECh. 2.1 - Prob. 17SECh. 2.1 - Prob. 18SECh. 2.1 - Prob. 19SECh. 2.1 - Prob. 20SECh. 2.1 - Prob. 21SECh. 2.1 - Prob. 22SECh. 2.1 - Prob. 23SECh. 2.1 - Prob. 24SECh. 2.1 - Prob. 25SECh. 2.1 - Prob. 26SECh. 2.1 - Prob. 27SECh. 2.1 - Prob. 28SECh. 2.1 - Prob. 29SECh. 2.1 - Prob. 30SECh. 2.1 - Prob. 31SECh. 2.1 - Prob. 32SECh. 2.1 - Prob. 33SECh. 2.1 - Prob. 34SECh. 2.1 - Prob. 35SECh. 2.1 - Prob. 36SECh. 2.1 - Prob. 37SECh. 2.1 - Prob. 38SECh. 2.2 - Prob. 1-1SCCh. 2.2 - Prob. 1-2SCCh. 2.2 - Prob. 1-3SCCh. 2.2 - Prob. 1-4SCCh. 2.2 - Prob. 1-5SCCh. 2.2 - Prob. 2-1SCCh. 2.2 - Prob. 2-2SCCh. 2.2 - Prob. 2-3SCCh. 2.2 - Prob. 2-4SCCh. 2.2 - Prob. 2-5SCCh. 2.2 - Prob. 3-1SCCh. 2.2 - Prob. 3-2SCCh. 2.2 - Prob. 3-3SCCh. 2.2 - Prob. 3-4SCCh. 2.2 - Prob. 3-5SCCh. 2.2 - Prob. 3-6SCCh. 2.2 - Prob. 4-1SCCh. 2.2 - Prob. 4-2SCCh. 2.2 - Prob. 4-3SCCh. 2.2 - Prob. 4-4SCCh. 2.2 - Prob. 4-5SCCh. 2.2 - Prob. 4-6SCCh. 2.2 - Prob. 4-7SCCh. 2.2 - Prob. 4-8SCCh. 2.2 - Prob. 4-9SCCh. 2.2 - Prob. 4-10SCCh. 2.2 - Prob. 1SECh. 2.2 - Prob. 2SECh. 2.2 - Prob. 3SECh. 2.2 - Prob. 4SECh. 2.2 - Prob. 5SECh. 2.2 - Prob. 6SECh. 2.2 - Prob. 7SECh. 2.2 - Prob. 8SECh. 2.2 - Prob. 9SECh. 2.2 - Prob. 10SECh. 2.2 - Prob. 11SECh. 2.2 - Prob. 12SECh. 2.2 - Prob. 13SECh. 2.2 - Prob. 14SECh. 2.2 - Prob. 15SECh. 2.2 - Prob. 16SECh. 2.2 - Prob. 17SECh. 2.2 - Prob. 18SECh. 2.2 - Prob. 19SECh. 2.2 - Prob. 20SECh. 2.2 - Prob. 21SECh. 2.2 - Prob. 22SECh. 2.2 - Prob. 23SECh. 2.2 - Prob. 24SECh. 2.2 - Prob. 25SECh. 2.2 - Prob. 26SECh. 2.2 - Prob. 27SECh. 2.2 - Prob. 28SECh. 2.2 - Prob. 29SECh. 2.2 - Prob. 30SECh. 2.3 - Prob. 1-1SCCh. 2.3 - Prob. 1-2SCCh. 2.3 - Prob. 1-3SCCh. 2.3 - Prob. 1-4SCCh. 2.3 - Prob. 1-5SCCh. 2.3 - Prob. 1-6SCCh. 2.3 - Prob. 1-7SCCh. 2.3 - Prob. 2-1SCCh. 2.3 - Prob. 2-2SCCh. 2.3 - Prob. 2-3SCCh. 2.3 - Prob. 2-4SCCh. 2.3 - Prob. 2-5SCCh. 2.3 - Prob. 2-6SCCh. 2.3 - Prob. 2-7SCCh. 2.3 - Prob. 1SECh. 2.3 - Prob. 2SECh. 2.3 - Prob. 3SECh. 2.3 - Prob. 4SECh. 2.3 - Prob. 5SECh. 2.3 - Prob. 6SECh. 2.3 - Prob. 7SECh. 2.3 - Prob. 8SECh. 2.3 - Prob. 9SECh. 2.3 - Prob. 10SECh. 2.3 - Prob. 11SECh. 2.3 - Prob. 12SECh. 2.3 - Prob. 13SECh. 2.3 - Prob. 14SECh. 2.3 - Prob. 15SECh. 2.3 - Prob. 16SECh. 2.3 - Prob. 17SECh. 2.3 - Prob. 18SECh. 2.3 - Prob. 19SECh. 2.3 - Prob. 20SECh. 2.3 - Prob. 21SECh. 2.3 - Prob. 22SECh. 2.3 - Prob. 23SECh. 2.3 - Prob. 24SECh. 2 - Prob. 1ESCh. 2 - Prob. 2ESCh. 2 - Prob. 3ESCh. 2 - Prob. 4ESCh. 2 - Prob. 5ESCh. 2 - Prob. 6ESCh. 2 - Prob. 7ESCh. 2 - Prob. 8ESCh. 2 - Prob. 9ESCh. 2 - Prob. 10ESCh. 2 - Prob. 11ESCh. 2 - Prob. 12ESCh. 2 - Prob. 13ESCh. 2 - Prob. 14ESCh. 2 - Prob. 15ESCh. 2 - Prob. 16ESCh. 2 - Prob. 17ESCh. 2 - Prob. 18ESCh. 2 - Prob. 19ESCh. 2 - Prob. 20ESCh. 2 - Prob. 21ESCh. 2 - Prob. 22ESCh. 2 - Prob. 23ESCh. 2 - Prob. 24ESCh. 2 - Prob. 25ESCh. 2 - Prob. 26ESCh. 2 - Prob. 27ESCh. 2 - Prob. 28ESCh. 2 - Prob. 29ESCh. 2 - Prob. 30ESCh. 2 - Prob. 31ESCh. 2 - Prob. 32ESCh. 2 - Prob. 33ESCh. 2 - Prob. 34ESCh. 2 - Prob. 35ESCh. 2 - Prob. 36ESCh. 2 - Prob. 37ESCh. 2 - Prob. 38ESCh. 2 - Prob. 39ESCh. 2 - Prob. 40ESCh. 2 - Prob. 41ESCh. 2 - Prob. 42ESCh. 2 - Prob. 43ESCh. 2 - Prob. 44ESCh. 2 - Prob. 45ESCh. 2 - Prob. 46ESCh. 2 - Prob. 47ESCh. 2 - Prob. 48ESCh. 2 - Prob. 49ESCh. 2 - Prob. 50ESCh. 2 - Prob. 51ESCh. 2 - Prob. 52ESCh. 2 - Prob. 53ESCh. 2 - Prob. 54ESCh. 2 - Prob. 55ESCh. 2 - Prob. 56ESCh. 2 - Prob. 57ESCh. 2 - Prob. 58ESCh. 2 - Prob. 59ESCh. 2 - Prob. 60ESCh. 2 - Prob. 61ESCh. 2 - Prob. 62ESCh. 2 - Prob. 63ESCh. 2 - Prob. 64ESCh. 2 - Prob. 65ESCh. 2 - Prob. 66ESCh. 2 - Prob. 67ESCh. 2 - Prob. 68ESCh. 2 - Prob. 69ESCh. 2 - Prob. 70ESCh. 2 - Prob. 71ESCh. 2 - Prob. 72ESCh. 2 - Prob. 73ESCh. 2 - Prob. 74ESCh. 2 - Prob. 75ESCh. 2 - Prob. 76ESCh. 2 - Prob. 78ESCh. 2 - Prob. 79ESCh. 2 - Prob. 80ESCh. 2 - Prob. 81ESCh. 2 - Prob. 82ESCh. 2 - Prob. 83ESCh. 2 - Prob. 84ESCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 21PTCh. 2 - Prob. 22PTCh. 2 - Prob. 23PTCh. 2 - Prob. 24PTCh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 10CTCh. 2 - Prob. 11CTCh. 2 - Prob. 12CTCh. 2 - Prob. 1CPCh. 2 - Prob. 2CPCh. 2 - Prob. 1CS1Ch. 2 - Prob. 2CS1Ch. 2 - Prob. 3CS1Ch. 2 - Prob. 1CS2Ch. 2 - Prob. 2CS2Ch. 2 - Prob. 3CS2Ch. 2 - Prob. 4CS2
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Question 2. An American option on a stock has payoff given by F = f(St) when it is exercised at time t. We know that the function f is convex. A person claims that because of convexity, it is optimal to exercise at expiration T. Do you agree with them?arrow_forwardQuestion 4. We consider a CRR model with So == 5 and up and down factors u = 1.03 and d = 0.96. We consider the interest rate r = 4% (over one period). Is this a suitable CRR model? (Explain your answer.)arrow_forwardQuestion 3. We want to price a put option with strike price K and expiration T. Two financial advisors estimate the parameters with two different statistical methods: they obtain the same return rate μ, the same volatility σ, but the first advisor has interest r₁ and the second advisor has interest rate r2 (r1>r2). They both use a CRR model with the same number of periods to price the option. Which advisor will get the larger price? (Explain your answer.)arrow_forward
- Question 5. We consider a put option with strike price K and expiration T. This option is priced using a 1-period CRR model. We consider r > 0, and σ > 0 very large. What is the approximate price of the option? In other words, what is the limit of the price of the option as σ∞. (Briefly justify your answer.)arrow_forwardQuestion 6. You collect daily data for the stock of a company Z over the past 4 months (i.e. 80 days) and calculate the log-returns (yk)/(-1. You want to build a CRR model for the evolution of the stock. The expected value and standard deviation of the log-returns are y = 0.06 and Sy 0.1. The money market interest rate is r = 0.04. Determine the risk-neutral probability of the model.arrow_forwardSeveral markets (Japan, Switzerland) introduced negative interest rates on their money market. In this problem, we will consider an annual interest rate r < 0. We consider a stock modeled by an N-period CRR model where each period is 1 year (At = 1) and the up and down factors are u and d. (a) We consider an American put option with strike price K and expiration T. Prove that if <0, the optimal strategy is to wait until expiration T to exercise.arrow_forward
- We consider an N-period CRR model where each period is 1 year (At = 1), the up factor is u = 0.1, the down factor is d = e−0.3 and r = 0. We remind you that in the CRR model, the stock price at time tn is modeled (under P) by Sta = So exp (μtn + σ√AtZn), where (Zn) is a simple symmetric random walk. (a) Find the parameters μ and σ for the CRR model described above. (b) Find P Ste So 55/50 € > 1). StN (c) Find lim P 804-N (d) Determine q. (You can use e- 1 x.) Ste (e) Find Q So (f) Find lim Q 004-N StN Soarrow_forwardIn this problem, we consider a 3-period stock market model with evolution given in Fig. 1 below. Each period corresponds to one year. The interest rate is r = 0%. 16 22 28 12 16 12 8 4 2 time Figure 1: Stock evolution for Problem 1. (a) A colleague notices that in the model above, a movement up-down leads to the same value as a movement down-up. He concludes that the model is a CRR model. Is your colleague correct? (Explain your answer.) (b) We consider a European put with strike price K = 10 and expiration T = 3 years. Find the price of this option at time 0. Provide the replicating portfolio for the first period. (c) In addition to the call above, we also consider a European call with strike price K = 10 and expiration T = 3 years. Which one has the highest price? (It is not necessary to provide the price of the call.) (d) We now assume a yearly interest rate r = 25%. We consider a Bermudan put option with strike price K = 10. It works like a standard put, but you can exercise it…arrow_forwardIn this problem, we consider a 2-period stock market model with evolution given in Fig. 1 below. Each period corresponds to one year (At = 1). The yearly interest rate is r = 1/3 = 33%. This model is a CRR model. 25 15 9 10 6 4 time Figure 1: Stock evolution for Problem 1. (a) Find the values of up and down factors u and d, and the risk-neutral probability q. (b) We consider a European put with strike price K the price of this option at time 0. == 16 and expiration T = 2 years. Find (c) Provide the number of shares of stock that the replicating portfolio contains at each pos- sible position. (d) You find this option available on the market for $2. What do you do? (Short answer.) (e) We consider an American put with strike price K = 16 and expiration T = 2 years. Find the price of this option at time 0 and describe the optimal exercising strategy. (f) We consider an American call with strike price K ○ = 16 and expiration T = 2 years. Find the price of this option at time 0 and describe…arrow_forward
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