question archive Most real-world mortgages feature uniform payments (CFs) and terms from 15 to 30 years
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Most real-world mortgages feature uniform payments (CFs) and terms from 15 to 30 years. Solve this real-world mortgage problem: Wells Fargo offers you a 6%, 30 year mortgage. The firm will give you $100K today to help you buy a house that costs $150K. (IE: you will buy the house with $50K of your own funds and $100K of mortgage loan funds). What is your annual mortgage payment (CF or C)? Hint: use formula 74e): v-cf4-4,+)] C = Periodic Payment = CF r=rate per period n = number of periods
Use this info for all the questions in this quiz: A bond is for sale in the secondary marketplace for $990. The bond contract stipulates that the bondholder (from this point on) will be paid $5 in six months, and $1005 in one year Question 1 1 pts Assuming the issuer does not default, which is closest to the native compound interest rate (r) of this bond for someone who purchases the bond today, in semi- annual time periods? 2.0079% 0.8072% 0 1.0076% Question 2 1 pts Using your answer for r above, what is the Yield To Maturity (YTM) of this bond for someone who purchased the bond at today's asking price? Hint: YTM = EAIR

Q-1)
Mortgage amount = $100,000
Interest rate = 6%
No of annual payments = 30
Calculating the Annual Mortgage Payments:-
![Present Value= C*\frac{[1-(1+r)^{-n}]}{r}](https://media.cheggcdn.com/media/55b/55b0a151-f070-40c1-a936-bbfb3e3e93d4/94a95f9b-6fb3-4824-8035-33f0525c7fd1.png)
Where, C= Periodic Payments = Annual Mortgage Payment
r = Periodic Interest rate = 6%
n= no of periods = 30
Present Value = Loan amount = $100,000
![100,000= C*\frac{[1-(1+0.06)^{-30}]}{0.06}](https://media.cheggcdn.com/media/4ee/4ee6b069-44c0-4f96-b59c-59d908a04618/f1ee7b9d-388c-4515-8188-70452445a106.png)
![6,000= C*[1-0.17411013091]](https://media.cheggcdn.com/media/3e5/3e57826e-e43e-45d9-adce-7c50727ba0f9/d44bc696-2f43-4caa-9d6c-8432dea9bf73.png)
C = $7264.89
So, Annual Mortgage Payment is $7264.89

