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A man borrows 850 taka from bank. The bill is renewed after every half year at an increase of 21% . After haw much time amount will become 8500 taka.


If the interest rate per year is 16 and the compounding occurs every quarter, then what is the interest rate per compounding period?


Consider the American put option with value P(S,t), where S is the asset price and t is time. Let E be the strike price, T be the expiry date, r be the interest rate, σ be the volatility, and Sf(t) be an optimal exercise boundary. Write down the partial differential equation on P(S,t) when S > Sf(t), the formula for P(S,t) when S < Sf(t), the inequality which P(S,t) must satisfy for S < Sf(t), the two conditions at S = Sf(t), the condition at t = T, the boundary condition at S = 0, and the boundary condition at S → ∞


stock purchases at the price per share of General Dynamics 98.59, How many shares of the stock can you purchase for $5000?


What is the maturity value of $5000 invested at 6% compounded semi-annually for seven years.


Deferred annuities



1.) Annual payments of P8,000 for 12 years that will start 5 years from now


2.) Quarterly payments of P5,000 for 8 years that will start 2 years from now


3.) Annual payments of P13,500 for 20 years that will start 10 years from now


4.) A certain fund is to be established today in order to pay for the P5,000 worth of monthly rent for a commercial space. They payments for rent will start next year and the fund must be sufficient to pay for the monthly rental for 2 years, the amount that must be deposited today is P114,046.58 at 2.5% interest compounded monthly.


Using simple interest



Principal Rate Time Interest. Final amount

1200 1% ? 12 1212

100 ? 2 months 5/6 100⅚

? 5% 2 years 5000 55,000


The video suggests you consider these 4 things before deciding to take out a loan: Is it necessary? Do the monthly payments fit in your budget? Could you save instead of borrow? Is it worth the added interest? 






1. Stock Purchases At the closing price per share of General Dynamics (GD), how many shares of the

stock can you purchase for $5000?


2. Stock Sale Gary Walters owned 400 shares of stock in General Electric (GE). He purchased the shares at a price of $27.80 per share and sold them at the closing price of the stock given in the table above.

a. Ignoring dividends, what was Gary’s profit or loss on the sale of the stock?


b. If his broker charges 2.5% of the total sale price, what was the broker’s commission?


3. Stock Tables For Gap, Inc. (GPS):

a. What is the difference between the highest and lowest prices paid for this stock during the last 52 weeks?


b. Suppose you own 750 shares of this stock. What dividend do you receive this year?


c. How many shares of this stock were sold yesterday?


d. Did the price of a share of this stock increase or decrease during the day shown in the table?


e. What was the price of a share of this stock at the start of the trading day yesterday?



Create a family budget plan. Make sure to cover that 360 degrees in a circle and is used when calculating the angle measurement. Explain how you applied your knowledge about central angles and areas of the circle in creating a graph.


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