You are evaluating a growing perpetuity product from a large financial services firm. The product promises an initial payment of $24,000 at the end of this year and subsequent payments that will thereafter grow at a rate of 0.05 annually. If you use a discount rate of 0.10 for investment products, what is the present value of this growing perpetuity?
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I suggest: - Take the derivative of the function - Find its initial value, which could be done with the initial value theorem That value is the slope of the original function.
A 5% increase means that your capital increases by a factor of 1.05 each year. After three years, your capital will increase by a factor of 1.05 x 1.05 x 1.05, or 1.053. Calculate this and multiply it by the initial capital.
You can't.You only know what half the sum of (initial + final) is, (it's the average), but you don't know what the initial and final are.
Its initial speed cannot be 20 m, as stated in the question. Secondly, if the initial speed is correctly given, then there is no need to calculate it!
the formula for finding acceleration is final velocity, minus initial velocity, all over time. So if you have the acceleration and initial speed, which is equal to the initial velocity, you must also have time in order to find the final velocity. Once you have the time, you multiply it by the acceleration. That product gives you the difference of the final velocity and initial velocity, so then you just add the initial velocity to the product to find the final velocity.