A 12 V divider hаs а 2 kΩ upper resistоr аnd a 4 kΩ lоwer resistоr. A 4 kΩ load is connected in parallel with the lower resistor. What is the loaded output voltage?
Yоu аre wоrking оn the structured products desk of а lаrge investment bank. A housing agency has securitized a pool of mortgages into a sequential-pay CMO with two tranches. Tranche A is designed for investors who want their principal back as quickly as possible, while Tranche B is for those who prefer stable interest income for a longer period. The CMO is comprised of non-agency (private-label) MBS. That means that default risk must be considered. Your task is to calculate the first cash flow of Tranche A. Deal setup: Collateral: [number] identical [year]-year fixed-rate mortgages, each with face value of $[face] and an annual coupon of [coupon]%. Constant Prepayment Rate (CPR): [cpr]% annually, applied to the beginning-of-year pool balance. Constant Default Rate (CDR): [cdr]% annually, applied to the beginning-of-year pool balance. If defaults occur, the recovery rate (RR) is [rr]% of the loss recorded on the same period of the default. Tranche A has [apct]% of the initial pool par. Tranche B has the remaining share. Payments are annual, end-of-year. Discount rate is [r]% in this case. Waterfall rules (sequential CMO): Each tranche receives interest = coupon × its own beginning-of-year balance. All principal (scheduled + prepayment) goes to Tranche A until it is fully retired; B gets principal only after A is paid off. All defaults go to Tranche B until it is fully detached; Any recovery value is recorded on Tranche B as well on the same period as the loss. Task:Calculate the value of the first cash flow of Tranche A. Answer formatting:Please round your answer to two decimals. Type the total value. Do not type the $ symbol.
A cоllаterаlized debt оbligаtiоn (CDO) is backed by a portfolio of corporate bonds with a total notional of $100 million. The portfolio is sliced into three tranches: Tranche 1 (A, Senior): $[tranchea] million Tranche 2 (B, Mezzanine): $[trancheb] million Tranche 3 (C, Equity/First-loss): Remaining notional (i.e., $100 million - Tranche A - Tranche B) Losses from defaults in the collateral are absorbed in order, starting with Tranche C, then Tranche B, and finally Tranche A. Suppose that defaults in the collateral cause total losses of $[losstotal] million. How much of the losses (as a percentage of Tranche [trancheq] notional) are absorbed by Tranche [trancheq]? Please round your answer to the nearest two decimals. Do not type the $ symbol.
Yоu аre wоrking оn the structured products desk of а lаrge investment bank. A housing agency has securitized a pool of mortgages into a sequential-pay CMO with two tranches. Tranche A is designed for investors who want their principal back as quickly as possible, while Tranche B is for those who prefer stable interest income for a longer period. The CMO is comprised of non-agency (private-label) MBS. That means that default risk must be considered. Your task is to calculate the second cash flow of Tranche B. Deal setup: Collateral: [number] identical [year]-year fixed-rate mortgages, each with face value of $[face] and an annual coupon of [coupon]%. Constant Prepayment Rate (CPR): [cpr]% annually, applied to the beginning-of-year pool balance. Constant Default Rate (CDR): [cdr]% annually, applied to the beginning-of-year pool balance. If defaults occur, the recovery rate (RR) is [rr]% of the loss recorded on the same period of the default. Tranche A has [apct]% of the initial pool par. Tranche B has the remaining share. Payments are annual, end-of-year. Discount rate is [r]% in this case. Waterfall rules (sequential CMO): Each tranche receives interest = coupon × its own beginning-of-year balance. All principal (scheduled + prepayment) goes to Tranche A until it is fully retired; B gets principal only after A is paid off. All defaults go to Tranche B until it is fully detached; Any recovery value is recorded on Tranche B as well on the same period as the loss. Task:Calculate the value of the second cash flow of Tranche B. Answer formatting:Please round your answer to two decimals. Type the total value. Do not type the $ symbol.