Math Finance

1) When Monique retires she has A=$1752581.18 in her account.When she retires, she ceases all deposits and now withdraws 6000 dollars at the end of every month from the same account, which continues t...

Mathew wishes to borrow from a bank for a home loan. The bank offers him an annual interest rate of 3% per annum, compounding monthly. He knows that he can afford to repay $2000 per month, and he wish...

There are various derivatives of the Kelly Criterion, depending on the context  (e.g. Betting, Investing, other) I'm trying to reconcile the different approaches to get a Kelly Criterion for a case wh...

There's a 55% chance of winning, 45% chance of losing.  A win will result in 35% increase (e.g. $100->$135). A loss will result in a 30% loss ($100->$70).  What's the Kelly Criterion? (please sh...

The constant product is used in decentralized finance. It is used to calculate how much someone gets for currency $Y$ when giving funds of currency $X$. $X$ and $Y$ indicate the size of funds in the c...

The constant product is used in decentralized finance. It is used to calculate how much someone gets for currency $Y$ when giving funds of currency $X$. $X$ and $Y$ indicate the size of funds in the c...

The thing is: I really don't like not being able to use only one formula to deduct a monthly compound interest with and addition of ×$ every month.Usually, I would be solving it by using the interest...

An investor owns a 1000 par value 10% bond with semiannual coupons. Thebond will mature at par at the end of 10 years. The investor decides thatan 8-year bond would be preferable. Current yield rates...

Hi,I'm stuck on backing into the gross crediting rate (1.93%). I have all the variables and the formula but I can't come up with the answer that is provided. I'm trying to find the gross crediting rat...

this resource is helpful https://archive.org/details/theoryofinterest00kell/page/4/mode/1up?view=theater

On his 65th birthday, Smith would like to purchase a ten-year annuity-immediatethat pays 6000 per month for the first year, 5500 per month for the secondyear, 5000 per month for the third year, and so...

https://archive.org/details/theoryofinterest00kell/page/63/mode/1up?view=theater good reference if u need formulas for annuities

Basically using Kellingson's book

You are considering an investment that will cost $20,000. If one uses a discount rate of 5%, the NPV of this investment is 18,000 dollars. Is the IRR of this investment greater or less than 5%? Briefl...

This is an undergrad finance level question. Lecture notes :https://drive.google.com/file/d/1GdZwD0QKRMKdSa2HoT0qn5HWO7WbVWIj/view

I attached a pdf of the problem. This is mostly an algebra-heavy problem. I made some mistakes on part a, but my approach to part b was incorrect, leaving a mess of unecessary algebra all over. I woul...

This is a question from my introduction to finance class. I need to use Ito calculus but I don't know how to use it.

You borrowed $683,000.00 to buy your first home. The interest rate is 4% compounded quarterly, and you will be making the payment twice a month. If the regular payment is 1,300.00, complete the first...

Hello, I have a question I've posted elsewhere and will post it here for simplicity, https://math.stackexchange.com/questions/4283713/optimal-control-model . I'm trying to find the profit function. Al...

You plan to purchase items for$500and will finance the cost with a fixed installment loan. The seller tells you that you will have to pay 20 dollars per month for 36 months. a) What is the finance cha...

Choices/Prices A B C A $(46) $47 $46 B $39 $(41) $46 C $24 $22 $(23)