# Tagged Questions

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### Compound interest with a compounding interest rate

I have an investment which pays 3% interest (r) annually but it also increases the interest rate every year by 5% (g). I re-invest all interest payments at the start of each year. How many years (t) ...
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### Finding inflation rate

This is my maths problem: A car cost $19,335 in 1989, and it is worth$40,000 in today's money, adjusting for inflation. How much is the inflation rate? What ...
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### Finding criteria for a household financial budget falsification

I’m working on a financial problem about budget of households. Households in a state fill a form about their net budget in every year and our insurance company investigate their financial status and ...
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So here's the question: The monthly payment $P$ on a mortgage loan of $A$ dollars at an APR of $r$ (as a decimal) for $t$ years is given by this formula. $$P(A,r,t)= ... 2answers 127 views ### Compound interest problem Find the present value and accumulated value after 10 years for an income stream with the rate of money flow f(t) = 200 + 150t dollars per year and the rate of interest 12% compounded continously. ... 1answer 7k views ### Finding Revenue Function and Max Revenue Studying for a midterm. The demand function for a manufacture's product is p=1000-\frac1{80} q Where p is the price (in dollars) per unit when q units are demanded (per week) by consumers. ... 1answer 33 views ### financial calculus put option Consider a 1-year European put (right to sell) with a strike price of 52 on a stock whose current price is 50. We suppose that there is only time step at which the stock moves either up by 20% or down ... 1answer 69 views ### financial calculus call option A stock price is currently 50. It is known that at the end of 2 months it will be either 53 or 48. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a ... 2answers 138 views ### Solving i for annuities equation without financial calculator I would like to know if there was a way to approximate i here without a financial calculator, in the following equation: \displaystyle -50000 + \frac{12992}{1+i} + \frac{12992}{(1+i)^2} + ⋯ + ... 0answers 73 views ### Optimal division of money between a loan and a down payment I'm in the market for a car. I have no credit and was hoping to build some with a loan towards a car. I don't want to develop bad credit, so I plan to take out a loan that I know I can pay off with ... 1answer 37 views ### Suppose you invest \10 at 10.2% per annum compounded annually. How many years would it take for your investment to grow to \15 000? I'am solving a simlar equation to this and just trying to figure out how they did it? the only part I don't understand is how they got the number.... 1.102 15000 = 10(1.102)n ¬1 mark 1500 = 1.102n 1answer 141 views ### Continuous annuity calculation This is a problem from Marcel Finan's Exam FM/2 course. It is not homework but I am studying for the FM exam and trying to get through this. You are given \frac{d}{dt}\bar{s}_t = (1.02)^{2t}. ... 1answer 335 views ### Finding a fix amount payment to payoff multiple credit cards in 24 months Mr.Debt has 3 credit cards. First card have \5,000 balance with the rate of 10% compounded monthly. Second card have \2,000 balance with the rate of 14% compounded monthly. Third card have \4,000 ... 1answer 2k views ### Continually Compounded Interest + Addition to Principal This is essentially the continually compounded version of this question. I want to know how much money I will have after continually compounding interest, plus continually adding a fixed amount to ... 2answers 65 views ### How is it possible to revise for a maths test of this type - Which is the best method to solve it I need some help with this question, My answer to question E) is 1880 pounds per year, can anyone suggest a different answer, also does anyone know how would I revise for questions of this type. ... 2answers 659 views ### Maximizing a function containing an integral Problem. Let \rho\colon[-1,\infty)\to\mathbb{R} be a function such that$$\int_{-1}^\infty\rho(x)\,dx=1.$$Let G\colon[0,1]\to\mathbb{R} be a function that is defined with$$G(f) := ...
Here's the probability (I think) that a particle in Brownian motion (w/ standard deviation $\sqrt{t}$) will exceed $m$ between times $t_1$ and $t_2$: \frac1{2\sqrt{2\pi}}\int_{-\infty }^m ...