Suppose Federal National Mortgage Association sells mortgage-backed securities (MBS) backed by a fixed-rate mortgage portfolio having the following features: Current mortgage balance = $300,000,000 Weighted average coupon rate (WAC) = 6% Weighted average maturity (WAM) = 360 months Current prepayment speed = 300 PSA Pass-through rate (PT Rate) = 5.4% What is the total amount of mortgage payment by mortgage loan borrowers in Month 1?
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- Given that a seasoned 360-month agency mortgage pass-through security has currently a weighted average maturity (WAM) of 357 months. It has $400M outstanding balance, a 7.5% pass-through coupon rate, and 8.125% weighted average coupon (WAC). Assuming 125% PSA and a first month mortgage payment of $2,975,868, what is the expected prepayment for the first month? Group of answer choices $267,535 $267,470 $334,473 $334,647 None of the aboveSuppose GHI Bank has a portfolio of 8-year fixed rate mortgages with total principal amount of $50 million and interest rate is 9%. Interest is paid semi-annually and principal is scheduled to be repaid at maturity. GHI Bank finances its loan portfolio with six-month certificate of deposits (CDs) at an interest rate equal to six-month LIBOR plus 50 basis points. Question: Suppose GHI Bank enter into a 8-year fixed-floating interest rate swap is available with a notional amount of $50 million in which GHI Bank pays a fixed 8% every six months and received 6-month LIBOR. Explain how can the bank use this swap to hedge its interest rate exposure.Third Mortgage Investors makes money by purchasing mortgage backed securities (MBS), stripping them into interest only (IO) and principal only (PO) components, and selling the components for more than it paid for the original security. Suppose the company purchases a $100,000 Face value MBS carrying a coupon of 9 percent and a maturity of 30 years. Assume for the purpose of the following analysis, the MBS will make payments on an “ANNUAL BASIS.” 1) What is the annual payment on the MBS
- Suppose you purchase a T-bills that is 125 days from maturity for $9,765. The T-bills has a face value of $10,000.a. Calculate the T-bills’s quoted discount rate. b. Calculate the T-bills’s annualized rate.c. Who are the major issuers of and investors in money market securities?The MZ Mortgage Company is issuing a CMO with three tranches. The A tranche will consist of $40.5 million with a coupon of 8.25 percent. The B tranche will be issued with a coupon of 9.0 percent and a principal of $22.5 million. The Z tranche will carry a coupon of 10.0 percent with a principal of $45 million. The mortgages backing the security issue were originated at a fixed rate of 10 percent with a maturity of 10 years (annual payments). The issue will be overcollateralized by $4.5 million, and the issuer will receive all net cash flows after priority payments are made to each class of securities. Priority payments will be made to the class A tranche and will include the promised coupon, all amortization from the mortgage pool, and interest that will be accrued to the Z class until the principal of $40.5 million due to the A tranche is repaid. The B class securities will receive interest-only payments until the A-class is repaid and then will receive priority payments of…A CMO has been issued with 3 tranches and a residual. At origination: - Tranche A investors own $25 million of principal with a coupon rate of 3.50%. - Tranche B investors own $35 million of principal with a coupon rate of 3.70%. - Tranche Z investors own $8 million of principal with a coupon rate of 4.50%. The residual carries $1 million and receives all residual payments. Mortgages backing the security issued are fully amortizing fixed rate with mortgage rate of 4.50% with 30 year maturities and monthly payments. Assume no servicing/guarantee fee and no prepayments. What is the mortgage pool's starting balance at origination? Round your answers to cents (e.g. if your answer is $56000.0444, write 56000.04).
- A commercial bank invests in a loan with a current market value of $600,000 and a maturity of 3 years. The bank partially funds the loan by issuing a zero coupon bond with a maturity (principal) value of $450,000 and a duration of 3 years. The current market rate is 7% and interest rates are expected to increase by 1%. Which of the following statements is true? (a) The current equity value of the position is $150,000 and if interest rates increase the equity value will increase. (b) The current equity value of the position is $232,666 and if interest rates increase the equity value will increase. (c) The current equity value of the position is $232,666 and if interest rates increase the equity value will decrease. (d) The current equity value of the position is $150,000 and if interest rates increase the equity value will remain the same. (e) None of the given answers. The current equity value of the position is $232,666 and if interest rates increase the equity value will remain the…A mortgage pass-through security (PT) has a par value of $100,000, a 4% coupon paid monthly, and is based on 30 year mortgages. The current market rate for similar bonds is 3.5%, and prepayments currently equal $100 per month. Assume rates immediately rise to 4.5%, and prepayments drop to $40 as a result. The PT will now be paid off in month 310. What is the price of the PT today? Group of answer choices: $98,323.2214 $184,274.6844 $94,737.4877 $102,365.1248Third Mortgage Investors makes money by purchasing mortgage backed securities (MBS), stripping them into interest only (IO) and principal only (PO) components, and selling the components for more than it paid for the original security. Suppose the company purchases a $100,000 Face value MBS carrying a coupon of 9 percent and a maturity of 30 years. Assume for the purpose of the following analysis, the MBS will make payments on an “ANNUAL BASIS.” What is the remaining principal balance on the MBS if it survives 1-year? 3-years? 5 years? 8 years?
- Consider an FI with the following off-balance-sheet items: A two-year loan commitment with a face value of $120 million, a standby letter of credit with a face value of $20 million and trade-related letters of credit with a face value of $70 million. All counterparties have a credit rating of BBB. Assuming a required capital ratio of 8%, what is the capital amount the FI needs to hold against these exposures? ANSWER MUST BE 7.52 millionThird Mortgage Investors makes money by purchasing mortgage backed securities (MBS), stripping them into interest only (IO) and principal only (PO) components, and selling the components for more than it paid for the original security. Suppose the company purchases a $100,000 Face value MBS carrying a coupon of 9 percent and a maturity of 30 years. Assume for the purpose of the following analysis, the MBS will make payments on an “ANNUAL BASIS.” Years Survived Yield (%) 1 6.00 3 7.00 5 8.00 8 9.00 What is the total cash flow received by the purchasers of the IO strip, and the PO strip if the MBS survives 1 year? 3 years? 30 years?A bank has issued a six-month, $1.0 million negotiable CD with a 0.53 percent quoted annual interest rate (iCD, sp). a. Calculate the bond equivalent yield and the EAR on the CD. b. How much will the negotiable CD holder receive at maturity? c. Immediately after the CD is issued, the secondary market price on the $1 million CD falls to $998,900. Calculate the new secondary market quoted yield, the bond equivalent yield, and the EAR on the $1.0 million face value CD. Required A: Bond Equivalent Yield ___ EAR____ (Use 365 days in a year. Do not round intermediate calculations. Round your answers to 3 decimal places.) Required B: CD Holder will receive at maturity_____(Do not round intermediate calculations. Round your answer to nearest whole number.) Required C: Bond Equivalent Yield____ Secondary Market Quoted Yield______ EAR_____ (Use 365 days in a year. Do not round intermediate calculations. Round your answers to 4 decimal places.