Imаgine yоu аre wоrking аt a mоrtgage-backed securities (MBS) desk at an investment bank. A housing finance company has just securitized a pool of mortgages, and you are tasked with valuing the pass-through security that investors will buy. The deal contains [number] identical [year]-year fixed-rate mortgages, each with a balance of $100,000 and a [coupon]% annual coupon. Assume the following: Constant prepayment rate (CPR) = [cpr]% annually. Risk-free discount rate = [rf]%. No default risk (only prepayments). Task:Estimate the expected total cash flow (interest + scheduled principal + prepayments) from the MBS in Year [cfyear]. Please round your answer to the nearest two decimals. Do not type the $ symbol.
Anоther оf the prоblems shаred by your supervisor relаtes to а currency swap. He also gave you a few hints: 1st. Get the "per-dollar" value for each of the fixed income legs of the swap. You have also done that. After calculating each swap-fixed-rate, you can consider them as par coupon rates. Use those coupon rates and the revised (most recent) discount factors to get the "per-dollar" price of each fixed income leg. 2nd. Multiply each of the two values by their respective notional amounts to obtain their total values. Convert the USD leg total value to SGD using the exchange rate provided. 3rd. Get the difference between the value of the foreign and domestic fixed-income leg. Done! ---Currency swap value problem from your notes: A Singapore-based electronics exporter enters into a one-year currency swap with a U.S. bank to hedge future U.S. dollar revenues. At inception, the swap is structured so its value is zero. After some time, interest rates change, and the swap must be revalued using the new discount factors. Swap details: Notional in Singapore dollars: 100,000.00 Exchange rate: 1.3 SGD per 1 USD Payment frequency: Quarterly (90-day intervals) Maturity: 360 days (one year) The following present value factors (PVFs) are provided: PVFs at Inception (used to set the swap, ensuring zero initial value) TTM (days) PVF (SGD, inception) PVF (USD, inception) 90 [pvf1si0] [pvf1us0] 180 [pvf2si0] [pvf2us0] 270 [pvf3si0] [pvf3us0] 360 [pvf4si0] [pvf4us0] PVFs After Market Shift (used to revalue the swap today) TTM (days) PVF (SGD, new) PVF (USD, new) 90 [pvf1si] [pvf1us] 180 [pvf2si] [pvf2us] 270 [pvf3si] [pvf3us] 360 [pvf4si] [pvf4us] Task: Calculate the respective swap rates on the initiation of the swap Using the new PVFs, calculate the current value of the swap today from the perspective of the Singaporean corporation: Value=(PV(USD leg)×FX)−PV(SGD leg)text{Value} = big(text{PV(USD leg)} times FXbig) - text{PV(SGD leg)}where USD notional = SGD notional ÷ FX. Please round your final answer to the nearest three decimals. Do not type the $ symbol.